Re: [EM] Does IRV elect majority winners?

2009-01-09 Thread Kristofer Munsterhjelm

Dave Ketchum wrote:

On Thu, 08 Jan 2009 11:51:36 +0100 Kristofer Munsterhjelm wrote:


The point is that it's an advantage to the voters to express their 
thoughts in this manner. It's kind of like if Condorcet weighted votes 
by 1 / (number of ranks specified) so that it made sense to bullet-vote.


It is a convenience, but no advantage as to power of their votes.


It's a mere convenience to Condorcet voters. To Range voters, voting 
Approval style (certain edge cases notwithstanding) is a definite power 
advantage.


Say that the election is so far A: 99.8, B: 99.4, C: 37.4, and your 
sincere preference is A: 0.4, B: 0.7, C: 0.2. You'd prefer B to win, so 
you say A: 0, B: 1, C: 0.


I am still trying to promote series thought as to need for a 
majority for other than Plurality or Approval.




A worst-case point of view might be to consider the groups maximally 
different. That is, nobody who voted A  B also voted A  C. From 
that point of view, and a strict interpretation of majority, one 
would have to have the weakest victory be one of a majority - that 
is, for the candidate X so that the magnitude of the win of A 
against X is least, A must beat X by a majority.



Let me offer bullet voting in Condorcet:
 32 A
 33 B
 34 C

C wins because, with 99 voters, C's 34 makes it CW.



That's true. I was talking about Condorcet majorities, though, and 
none of those would have such a majority.


In general, if you have a voting method and everybody bullet-votes, 
then you pretty much have to reduce to Plurality, since there's no 
other information available.


I do not HAVE to reduce Condorcet to Plurality here, for the voters have 
provided valid Condorcet votes.


However, if bullet voting is common enough in Condorcet elections, it 
could make sense to count as if Plurality until ranking is seen, and 
then adjust and continue counting by Condorcet rules.


What I mean is that if you have some method, and the input is only 
bullet-vote ballots, the method pretty much has to act as Plurality 
would in that case. That is, the method reduces to Plurality in the 
case of everybody bullet-voting.


Condorcet reduces to Plurality since if all votes are bullet votes, 
they're effectively of the form


A  B = C = D
B  A = C = D
C  A = B = D

meaning that a vote for whoever was bullet-voted is a vote for that 
candidate in preference to all other candidates, hence a candidate that 
would win Plurality is a CW if everybody bullet-votes.


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-08 Thread Kristofer Munsterhjelm

Abd ul-Rahman Lomax wrote:

At 05:15 AM 1/7/2009, Kristofer Munsterhjelm wrote:

Dave Ketchum wrote:

[snip]
On the other hand, the mayor election data that was given on this list 
earlier seems to show that people don't bullet-vote as much as one 
would expect (even though one should be careful in deriving 
conclusions from sample sizes of one).


It showed this for *that* election. Burlington is a very unusual town, 
and there can be a lot of enthusiasm for preferential methods at first 
(there was a lot of enthusiasm for Bucklin at first.) We should look at 
the San Francisco data for more evidence. In Australia, experience with 
Optional Preferential Voting shows that bullet voting tends to increase 
with time, after full ranking becomes optional, as voters realize that 
full ranking is mostly a waste of time. Most voters can simply bullet 
vote for a frontrunner, in most elections, and if they do rank lower, it 
is never even counted. Only those who support minor party candidates 
need add additional ranks.


This may mean that people start off innocent - that is, they don't 
know about strategy or truncation, etc. Then, as they grow more familiar 
with the method, they know what works and what doesn't. I have no proof 
of this, though; we'd need ballot images for the very first election (or 
one of the first), and then of later elections, to compare the two.


If I'm right, that may mean that claims in favor of Range (e.g the 
nursery effect) would only be temporary as more and more switch to 
voting Approval-style.



Bucklin deserves more thought as a competitor to Condorcet.


Bucklin doesn't do that well, Yee-wise. It's simple, however; I'll 
grant that. As far as criteria go, it fails independence of clones, is 
not reversal symmetric, and can elect a Condorcet loser (according to 
WP).


Don't trust Wikipedia for *anything*. It is not to be used as a source. 


Alright. I'll try to find other sources, and also mention a criterion of 
Benham's: IIR - if you add a candidate that loses (pairwise) to all 
others and the only ballots you add are those that plump for it 
(bullet-vote), then that shouldn't alter the election.


In Bucklin, it does. By adding an insignificant candidate, the majority 
threshold is increased so that some other may get the majority.


Regarding clone-proofing, Rangevoting.org says this:

Similarly, ER-Bucklin is clone-immune with clones equality-ranked, but 
not with preferences among the clones, since cloning the winner can 
cause all winner-clones to be delayed in acquiring the necessary 
vote-majority, allowing somebody else to win sooner.


(http://rangevoting.org/FBCsurvey.html)

Rob LeGrand showed an instance of Bucklin not being cloneproof:

20:ABC
17:BCA
13:CAB

so B wins by majority in the second round, but then clone A

20:DABC
17:BCAD
13:CADB

and A wins by majority in the second round, having pushed the 
B-preferences down.


(http://www.mail-archive.com/election-methods-electorama@electorama.com
/msg02705.html )

http://www.condorcet.org/emr/methods.shtml also says Bucklin fails 
Condorcet Loser, Consistency, LIIA (obviously), Reversal Symmetry, SPC 
(really LNHarm; again, obviously), and Smith. That page's maintained by 
Blake Cretney.


Schulze shows Bucklin fail reversal symmetry here: 
http://www.mail-archive.com/election-methods-electorama@electorama.com

/msg00893.html

19  A  C  B
20  B  C  A
 1  C  A  B
 1  C  B  A
 1  B  A  C
 1  A  B  C

Running it forwards, C wins in the second stage. Running it backwards, 
C also wins in the second stage.


Consistency isn't that important. The method obviously fails LIIA if it 
fails Smith, which it does (and must since it fails Condorcet Loser). We 
know Bucklin fails LNHarm because it passes LNHelp and mutual majority, 
yet is monotonic.


I don't trust much of the simulation work that's been done, because of 
lack of simulation of truncation, for example. Truncation is *normal.* 
With Bucklin elections, maybe two-thirds of the voters don't add 
additional preferences.


So let's look at the data.

Bucklin, further, as it was implemented, didn't allow multiple voting in 
the first and second rounds. I'd toss that restriction, I see no need to 
*force* voters to rank candidates; if they have sufficient preference 
strength between them, they will rank them, if not, they may not. This 
would make Bucklin even more like Approval.


And simulating approval realistically is far more difficult than 
simulating ranked methods. Most simulations of approval have made wild 
assumptions that voters will, for example, approve any candidate better 
than the mean utility. It's preposterous, voters won't vote that way.


If you want something explicitly Approval-esque, why not use MDDA? MDDA 
is: those candidates people rank count as approved. Those they omit 
don't. First eliminate all candidates that are beaten by some other 
candidate by a majority (unless that eliminates all of them). Then count 
the approved 

Re: [EM] Does IRV elect majority winners?

2009-01-08 Thread Kristofer Munsterhjelm

Dave Ketchum wrote:
On Re: [EM] Does IRV elect majority winners? Kristofer Munsterhjelm 
wrote:

Dave Ketchum wrote:

Condorcet certainly costs more for the system than Plurality.  Costs 
bullet-voters nothing - provides a service to whichever voters like 
to do more than bullet vote.
 Actually can be a service to candidates.  Clinton and Obama had 
to try to kill their competitor's campaign for the Democrat 
nomination they could not share.  A similar race in Condorcet would 
let them both get nominated and have a more civilized fight as to 
which should be ranked higher than the other on the ballot.



If people tend to bullet-vote, it may be the case that elections in 
general suffer from vote-splitting - simply because if C splits into 
C1 and C2, people either bullet-vote C1 or C2.


In the Condorcet election described above, Clinton and Obama would have 
been ENCOURAGING voters to vote for both of them - that the voters 
should consider both CO and OC according to which they preferred.


That is consistent with bullet voting in the many elections where that 
is appropriate.


Probably so, yes.

I would assume that if one does A = B  Y and A is eliminated, then 
the ballot becomes B  Y next - the ballots are transformed as if the 
candidate in question never ran.


Note that your words imply that A and B are each counted when neither 
has yet been eliminated - an advantage over the voter having to vote 
either AB or BA.




Yes, though if it's fractional, each vote only counts half.

Range reduces to Approval if enough people use strategy. I think that 
any version of cardinal ratings should either be DSV or have some sort 
of Condorcet analysis (like CWP does, or perhaps not that far). Those 
are my opinions, though, and others (like Abd) may disagree.


Agreed that voters can CHOOSE to express the same restricted thoughts in 
Range as offered by Approval - but Range includes abilities beyond 
Approval's limited ability (just as Condorcet voters can express 
Plurality's limited thought).


The point is that it's an advantage to the voters to express their 
thoughts in this manner. It's kind of like if Condorcet weighted votes 
by 1 / (number of ranks specified) so that it made sense to bullet-vote.


I am still trying to promote series thought as to need for a majority 
for other than Plurality or Approval.



A worst-case point of view might be to consider the groups maximally 
different. That is, nobody who voted A  B also voted A  C. From that 
point of view, and a strict interpretation of majority, one would 
have to have the weakest victory be one of a majority - that is, for 
the candidate X so that the magnitude of the win of A against X is 
least, A must beat X by a majority.


Let me offer bullet voting in Condorcet:
 32 A
 33 B
 34 C

C wins because, with 99 voters, C's 34 makes it CW.


That's true. I was talking about Condorcet majorities, though, and none 
of those would have such a majority.


In general, if you have a voting method and everybody bullet-votes, then 
you pretty much have to reduce to Plurality, since there's no other 
information available.


This encompasses the standard majority setting where a majority votes 
A   [everybody else]. It's not equal to it, as one may see from this 
example:


A  B  C  D
C  B  D  A
D  B  C  A
A  B  D  C

B has a majority against C, D, and A.


Huh?   2 AB vs 2 BA?


Oops, I calculated based on 50% as majority. It should be relatively 
easy to fix though.


A  B  C  D
C  B  D  A
D  B  C  A
B  D  A  C

Now 3 BA, 1 AB. Also, 1 CB, 1 DB, so no other has 50%+1 over all others.

It's also a worst-case point of view because it errs safe in the 
case of truncation - truncation so that A is not ranked on the ballot 
means that no victory for A above some other candidate will be counted 
for that ballot.


Each ranked candidate counts toward beating each unranked candidate, as 
well as toward beating each lower ranked candidate!


Of course. What I meant was, if you have

1: B  A  C
2: B

the 2: B is the same as 2: B  A = C, which means that it doesn't 
contribute to A's victory count. Truncation so that A is not ranked on 
the ballot means that no victory for A above some other candidate will 
be counted for that ballot.


I don't know much about the cost of optical scanning machines, but 
presumably getting one with 8 or 10 sensors shouldn't be that more 
expensive than one with 3. They wouldn't have to be specialized, 
either, since optical scanning is used for other things than counting 
ballots.


Eight sensors may be affordable.  How much space on the paper ballot is
required for the eight targets to be sensed - for you do this for each
candidate for each race.


Something like http://www.indybay.org/uploads/2007/10/22/ballot2007.gif 
seems quite reasonable, yet that has 25 ranks - so I don't foresee 8 
being a problem.


The ideal solution as far as granularity is concerned would be to have 
a machine that does OCR

Re: [EM] Does IRV elect majority winners?

2009-01-08 Thread Dave Ketchum

On Thu, 08 Jan 2009 11:51:36 +0100 Kristofer Munsterhjelm wrote:

Dave Ketchum wrote:

On Re: [EM] Does IRV elect majority winners? Kristofer Munsterhjelm 
wrote:



Dave Ketchum wrote:

Condorcet certainly costs more for the system than Plurality.  Costs 
bullet-voters nothing - provides a service to whichever voters like 
to do more than bullet vote.
 Actually can be a service to candidates.  Clinton and Obama had 
to try to kill their competitor's campaign for the Democrat 
nomination they could not share.  A similar race in Condorcet would 
let them both get nominated and have a more civilized fight as to 
which should be ranked higher than the other on the ballot.




If people tend to bullet-vote, it may be the case that elections in 
general suffer from vote-splitting - simply because if C splits into 
C1 and C2, people either bullet-vote C1 or C2.



In the Condorcet election described above, Clinton and Obama would 
have been ENCOURAGING voters to vote for both of them - that the 
voters should consider both CO and OC according to which they preferred.


That is consistent with bullet voting in the many elections where that 
is appropriate.



Probably so, yes.

I would assume that if one does A = B  Y and A is eliminated, then 
the ballot becomes B  Y next - the ballots are transformed as if 
the candidate in question never ran.



Note that your words imply that A and B are each counted when neither 
has yet been eliminated - an advantage over the voter having to vote 
either AB or BA.




Yes, though if it's fractional, each vote only counts half.

Range reduces to Approval if enough people use strategy. I think that 
any version of cardinal ratings should either be DSV or have some 
sort of Condorcet analysis (like CWP does, or perhaps not that far). 
Those are my opinions, though, and others (like Abd) may disagree.



Agreed that voters can CHOOSE to express the same restricted thoughts 
in Range as offered by Approval - but Range includes abilities beyond 
Approval's limited ability (just as Condorcet voters can express 
Plurality's limited thought).



The point is that it's an advantage to the voters to express their 
thoughts in this manner. It's kind of like if Condorcet weighted votes 
by 1 / (number of ranks specified) so that it made sense to bullet-vote.


It is a convenience, but no advantage as to power of their votes.


I am still trying to promote series thought as to need for a 
majority for other than Plurality or Approval.




A worst-case point of view might be to consider the groups maximally 
different. That is, nobody who voted A  B also voted A  C. From 
that point of view, and a strict interpretation of majority, one 
would have to have the weakest victory be one of a majority - that 
is, for the candidate X so that the magnitude of the win of A against 
X is least, A must beat X by a majority.



Let me offer bullet voting in Condorcet:
 32 A
 33 B
 34 C

C wins because, with 99 voters, C's 34 makes it CW.



That's true. I was talking about Condorcet majorities, though, and none 
of those would have such a majority.


In general, if you have a voting method and everybody bullet-votes, then 
you pretty much have to reduce to Plurality, since there's no other 
information available.


I do not HAVE to reduce Condorcet to Plurality here, for the voters have 
provided valid Condorcet votes.


However, if bullet voting is common enough in Condorcet elections, it could 
make sense to count as if Plurality until ranking is seen, and then adjust 
and continue counting by Condorcet rules.


This encompasses the standard majority setting where a majority votes 
A   [everybody else]. It's not equal to it, as one may see from this 
example:


A  B  C  D
C  B  D  A
D  B  C  A
A  B  D  C

B has a majority against C, D, and A.



Huh?   2 AB vs 2 BA?



Oops, I calculated based on 50% as majority. It should be relatively 
easy to fix though.


A  B  C  D
C  B  D  A
D  B  C  A
B  D  A  C

Now 3 BA, 1 AB. Also, 1 CB, 1 DB, so no other has 50%+1 over all others.

It's also a worst-case point of view because it errs safe in the 
case of truncation - truncation so that A is not ranked on the ballot 
means that no victory for A above some other candidate will be 
counted for that ballot.



Each ranked candidate counts toward beating each unranked candidate, 
as well as toward beating each lower ranked candidate!



Of course. What I meant was, if you have

1: B  A  C
2: B

the 2: B is the same as 2: B  A = C, which means that it doesn't 
contribute to A's victory count. Truncation so that A is not ranked on 
the ballot means that no victory for A above some other candidate will 
be counted for that ballot.


I don't know much about the cost of optical scanning machines, but 
presumably getting one with 8 or 10 sensors shouldn't be that more 
expensive than one with 3. They wouldn't have to be specialized, 
either, since optical scanning is used for other things than

Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread Abd ul-Rahman Lomax

At 03:31 PM 1/6/2009, Dave Ketchum wrote:

On Mon, 05 Jan 2009 00:19:29 -0500 Abd ul-Rahman Lomax wrote:

At 10:28 PM 1/4/2009, Dave Ketchum wrote:


On Sun, 04 Jan 2009 16:16:14 -0500 Abd ul-Rahman Lomax wrote:



Perhaps. Perhaps not. That can be a *lot* of preparation, and 
people are busy, many don't already, find time for voting. Bullet 
voting is simple, it can be relatively easy to know who your favorite is.



Agreed that bullet voting is often appropriate.

Only occasional elections provide reason for some voters to do more ranking.


And only certain voters. It's relatively uncommon that there are 
more than two frontrunners, and most voters know who they are. 
Under those circumstances, the only strong reason not to bullet 
vote is if you prefer someone other than a frontrunner, and care to 
express it. The argument for Plurality would be that the system 
shouldn't be encouraging useless candidates to run at all! That 
is, since vote-for-one usually works, and the only reason it 
doesn't work (usually, and even this is fairly unusual) is that 
some silly voters will throw away their vote on a candidate who 
can't win, why should we respect the unexpressed wishes of those 
voters? After all, they had their chance! We don't run elections as 
a popularity contest, i.e., so minor party candidates can brag 
about how many votes they got


Your argument for Plurality is empty:


It's not my argument. It is a possible argument that could be made, 
I've seen similar arguments made. I do not support Plurality, but 
Open Voting (i.e., Approval), which is Plurality with multiple votes 
allowed, is better. Plurality as a primary method is even better, in 
my opinion, and Open Voting would be even better than that, etc.


Best single-ballot method would be Open Voting with fractional votes 
allowed. I.e., Range. To do better than that requires allowing 
possible runoffs to deal with the relatively rare situations that 
Range makes a bad choice.


Condorcet certainly costs more for the system than Plurality.  Costs 
bullet-voters nothing - provides a service to whichever voters like 
to do more than bullet vote.
 Actually can be a service to candidates.  Clinton and Obama 
had to try to kill their competitor's campaign for the Democrat 
nomination they could not share.  A similar race in Condorcet would 
let them both get nominated and have a more civilized fight as to 
which should be ranked higher than the other on the ballot.


Very bad idea. It dilutes their election resources. Plurality is not 
the only reason to have a party system, and to only nominate one 
candidate from a party. It's a problem that the nomination process 
can be so divisive, but that's a different issue.



Even if runoffs are possible/expected, it is wise to vote 
carefully in the primary to minimize possibility of bad choices 
getting to the runoff.


And when it isn't easy to know, having trouble deciding between 
two, Open Voting (Approval) allows a simple option: vote for both!



What is important is that Condorcet, unlike Approval, permits 
voting for both Good and Soso, while indicating that Good is preferred.


Right. However, with American Preferential Voting (Bucklin), you 
*can* indicate your preferences. My point is only that equal 
ranking, if allowed, can be, actually, more expressive.


Bucklin deserves more thought as a competitor to Condorcet.


It doesn't have to be a competitor. Rather, condorcet analysis can 
serve as one of a number of possible runoff triggers.


Definitely, Bucklin deserves more thought. And more research, 
including better knowledge of the history. What the hell happened? We 
had an advanced voting system, in a *lot* of places, and the FairVote 
explanations of what happened are facile and self-serving and seem to 
be mostly speculation.


Looking over the ballots from Burlington, as I just did, I'm struck 
by how many voters do seem to imagine that their votes will be 
counted! Overvotes are more common than I'd expect if they were 
mere slips. It is very easy for me to imagine that voters think 
that if they vote for more than one candidate in one of the ranks, 
why, the votes will be counted, they are merely saying that, for 
first preference, they prefer either the Progressive or the 
Democrat, or some other combination. The fact is that if such votes 
were counted, they'd make sense, even in IRV. (Allowing equal 
ranking turns IRV into a much better system than without it.)


How do you count equal ranking in IRV?  If I vote XA=BY, A and B 
become visible to the counters at the same time - what does this do 
to deciding what candidate is next to mark lost?


The method doesn't change. Yes, A and B become visible at the same 
time. So? It's standard Approval voting, only in ranked rounds. The 
candidate with the lowest number of votes is eliminated. If there is 
a tie, then there are standard tie-breaking methods. (This problem 
with intermediate ties is only a problem with IRV, 

Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread Abd ul-Rahman Lomax

At 05:46 PM 1/5/2009, Juho Laatu wrote:

It is possible that the voters would have
liked to take position but for some reason
did not know which candidates would be the
strongest in this election. This situation
is the same for all methods. A second round
could improve things. But it may be that
it is enough if the method offers the
voters the option to indicate their opinion.
This should be fair enough, at least if the
number of the candidates is reasonable (not
e.g. 100) or the leading candidates are
well known so that all voters can evaluate
those key candidates if they want to do so.


Voters may need more information to rank candidates. The problem of 
limited voter knowledge was recognized by Lewis Carroll, in a 
pamphlet published in 1884, as a weakness of STV; many voters know, 
quite well, their favorite, but don't know much more than that. Is 
there a minor candidate who is better than the other frontrunner? 
Lower preference votes contain a lot of noise, but it is noise which 
is spectrally affected by matters such as name recognition. I think 
that this is the reason why IRV in nonpartisan elections tends to 
closely reproduce Plurality results.


Suppose we have an election where X% of voters prefer A over all 
others. Let's assume that this is a plurality. Now, eliminate 
candidate B from the election. What percentage of voters prefer A 
over all others? It turns out that the supporters of candidate B, 
that preference excepted, are more or less a representative sample of 
the rest of the population, so, roughly, X% of them prefer A over all 
remaining candidates. The absolute gap between A and the rest simply 
widens with vote transfers. However, voters without adequate 
knowledge may have truncated, so A may not make it to a majority. 
Only in close elections would we expect to see a comeback election, 
where the runner-up in the primary or first IRV round ends up 
winning. Apparently, in Australia, it never happens that the third 
place candidate ends up winning.


In other words, one could probably save a whole lotta countin' by 
doing batch elimination.


Yet we also know that third place candidates in primaries might very 
well win a real runoff. The Lizard v. the Wizard. Chirac v. Le Pen. 
These were both major runoff elections where the probable Condorcet 
winner -- and a stable one -- would almost certainly have won a 
direct runoff between himself and either of the actual runoff 
candidates. Rules prevented write-ins.


To some extent, folks, we -- and many others in academia -- have 
allowed ivory-tower preoccupations to distract us from what is really 
going on in real elections. The theoretical desirability of 
deterministic elections, the holy grail of the ideal single-winner 
deterministic system, led us down the wrong path and made much of our 
theoretical work practically useless.


We *must* understand what is going on with runoff systems.

Note that small democratic bodies use a simple majority requirement 
to great effect. With simple Plurality voting and a majority rule, 
and no candidate eliminations, but voluntary withdrawal and voter 
shifts in voting patterns to accomplish compromises, they elect 
Condorcet winners efficiently (or a candidate with utility close to 
that of the Condorcet winner) and usually quickly. But not with a 
single ballot, in some cases.


Consider what it would be like if we wanted to build a computer to 
make decisions. If we require that the decision be made instantly 
based on input, in one processor cycle, we must build one very 
complex computer. But if we allow the computer to iterate, it can be 
much simpler. *Much* simpler, a Turing machine.


If the input is human communication, the single-cycle computer can't 
even approach what an interactive process can do, where, essentially, 
questions are asked that are dependent on the results of previous questions.


This is Robert's Rules of Order's criticism of the STV method: not 
only can it fail to find what they call a compromise winner, which 
is basically a Condorcet winner, which is a pure methodological 
failure, other preferential voting systems are far better at this -- 
even though IRV probably gets it right 90% of the time *as does 
plurality*, partisan elections excepted -- but it deprives voters 
of their right to base votes in a subsequent election on the results 
of the previous one. Remember, RRONR is assuming election *failure* 
and not a reduced candidate set in the succeeding elections.


This is like Approval theorists who consider cycles of polls, where 
voters, realizing that in order to complete the election, they must 
lower their approval cutoffs, do so, until one candidate has a 
majority. That's what Bucklin does, effectively, as a method, but 
it's hindered by bullet voting, *which is normal and which must be 
expected.* Runoffs fix this problem, and if voters don't like having 
to vote again, they can take steps: add additional preferences!





Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread Abd ul-Rahman Lomax

At 06:14 PM 1/5/2009, James Gilmour wrote:

 At 07:04 PM 1/2/2009, James Gilmour wrote:
 So let's try again, with little bit of additional information that
 was (more or less) implied first time.
 
 At a meeting we need to elect one office-bearer (single-office,
 single-winner).  There are four candidates and we decide to use the
 exhaustive ballot (bottom elimination, one at a time) with the
 requirement that to win, a candidate must obtain a majority of the
 votes.  East person is allowed to vote for only one candidate in
 each round of the exhaustive ballot and the votes for each
 candidate are to be indicated by show of hands.
 
 First round votes:  A 40;   B  25;  C 20;  D 15.
 No candidate has a majority, so we eliminate D.
 
 Second round votes: A 47;  B 25;  C 20.
 It seems that some of those present who voted for D in the first
 round did not want to vote in the second round  -  but that is
 their privilege.
 
 QUESTION: did candidate A win at the second round with 'a majority
 of the votes'?


Answer   Sent: Saturday, January 03, 2009 6:32 PM
 Yes, A won the second round with a majority of votes.

So we have made some progress.


Note: A majority of votes in the second round, which is properly 
considered an independent election.


Note that this process isn't used by deliberative bodies, generally. 
Exhaustive ballot is occasionally prescribed. It's a bad idea, 
precisely because it can suffer from center squeeze. In standard 
deliberative process, there are no candidate eliminations, but 
candidates may and do withdraw. And other candidates may be 
nominated. (My own comment, generally, about close elections, is that 
the best result is probably none of the above. The best candidate 
wasn't on the ballot!)


Now let us suppose the meeting decides to hold this election by STV 
instead of by Exhaustive Ballot (STV = IRV in this single-winner
case).  Each person has only one vote and is required to show his or 
her contingency (STV!!) preferences for as many or as few
candidates as he or she wishes by writing the candidates' names in 
successive order down a small sheet of plain paper (top = 1 =

first preference).


You have stated inconsistent conditions: Required to show, For as 
many as he or she wishes. That's not a requirement, it's an 
allowance. However, it's true: if the penalty for not providing 
adequate ranking is that the voter is deprived of participation in 
further process, which is true for IRV, then we can call it a 
required ranking, with a penalty that isn't as severe as it is in 
Australian where full ranking is fully required.


This limited requirement is probably constitutional in the U.S. 
Mandatory ranking isn't, i.e., ranking where the entire vote is 
spoiled if full ranking isn't performed.


When all the ballot papers have been collected up and the votes 
counted, we find:


First stage: first preferences: A 40;  B 25;  C 20;  D 15.
No candidate has a majority, so we eliminate D and transfer the 
votes that are transferable on D's 15 ballot papers.


Second stage: transfer of D's votes: A 7;  B 0;  C 
0;  non-transferable 8. All 15 ballot papers accounted for.

Votes totals: A 47;  B 25;  C 20.

QUESTION: did candidate A win at the second stage with 'a majority 
of the votes'?


A won the second stage with a majority of votes *in that stage.*

This is *not* a majority of the votes in the election.

IF the answer to this question about the STV election is different 
from the answer above to the question about the Exhaustive

Ballot, why is it different?


Because, in the first case, there was an election in which the 
majority of those who decided to vote in the election cast a vote for 
the winner.


In the second case, a majority of voters did *not* cast a vote, in 
the election, for the winner.


How many elections were there in the second case? An election is a 
collection of votes on a ballot -- or by a show of hands or risings 
or other expression, in a single process of amalgamation.


Again, the second case finds a majority of a kind, but not what is 
ordinarily meant by a majority of votes when it refers to the whole 
election. You can say, after the smoke clears in the second election, 
that it was won by a majority of votes among the remaining candidates 
after eliminations. The qualification is important and necessary for 
the statement to not be misleading.


100 people voted in an election, and A won by a majority. Tell me 
what that statement means!


I'd say that it has a clear meaning: 51 or more voters voted for A, 
in some manner.


In Optional Preferential Voting, voters are not forced to vote for 
candidates they may detest. Now, if a majority of voters detest a 
candidate and choose, therefore, not to vote for this candidate, how 
can we then claim that this same candidate won by a majority?


No, because that majority was divided in terms of whom it did prefer, 
and because it truncated, perhaps because it detested the two 
frontrunners, -- or, 

Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread Abd ul-Rahman Lomax

At 07:04 PM 1/5/2009, James Gilmour wrote:
It is quite clear (and now agreed) that the winner (A) of the 
Exhaustive Ballot example had a majority of the votes at the second
round and so was the rightful winner of that Exhaustive Ballot.  But 
it would quite wrong to say that candidate A had the support of
the majority of those who had taken part in that election, because 
there were two rounds in that one election and some who voted in

the first round opted not to vote in the second round.


The error here is in describing exhaustive ballot as if it were a 
single election. It isn't. It is a series of elections, with the 
candidate set for each increasingly restricted.


It's a bad idea; if it's practical to hold a series of elections like 
that, why not simply hold them, without forced elimination? Sure, *in 
theory*, the series could then go on forever. In practice, though, it 
terminates, eventually the voters get it together and figure out the 
best compromise and vote for it.


Now, if it is a deliberative body, with motions in order, a member 
could always rise and move that an eliminated candidate be restored. 
A majority could *force* this (a majority can effectively suspend a 
rule like an elimination rule). So a Condorcet winner would *not* be 
eliminated, if the voters cared sufficiently to make that motion and 
stand behind it. They could also, by a majority, eliminate candidates.


Better voting methods simulate this process better.

And *preference strength matters.* This is what so many of us have 
missed. Ranking doesn't contain adequate information to predict what 
will happen in deliberative process. AB, fine. Now, *how likely is 
it that this voter will *change his or her mind*? I.e., vote A=B or 
even BA? It depends on preference strength!


candidate A had the support of
the majority of those who had taken part in that election, because 
there were two rounds in that one election and some who voted in

the first round opted not to vote in the second round.

Is this wrong? Sure, as stated, it is, because we can figure out from 
the context that the election means the entire process, which is 
actually two elections.


Under Robert's Rules, the original election *fails* and becomes 
totally moot. There could be *many* elections. The papal election 
rules required a 2/3 majority and Open Voting (approval) was used. It 
sometimes took a lot of polls. Given all those polls, would we say 
that 2/3 of those who took part supported the winner? Sure, we would. 
Took part means that they voted in the final poll.


When a matter is voted on repeatedly, and we then talk about the 
result, we talk about the *final* result, and the number of votes and 
the results of the earlier polls, which failed to find the required 
quota, are moot.


James, you are stretching pretty far. Why?

So here we have an important difference between a majority of the 
votes and a majority of the voters.  But neither is (or should

be) of any relevance to the detailed voting system rules for an IRV election.


Want to talk about the votes in IRV elections? How many votes are 
there? Sure, only one vote is active at a time, but there are *many 
votes* cast. Look at Burlington; the vast majority of votes cast, as 
alternative votes, were never counted at all.


The Minnesota case, Brown v. Smallwood, following an earlier case, 
notes that it is a majority of voters which counts, not votes. 
However, they then proceed to count the number of votes, with 
apparent concern that with Bucklin, there are more votes than voters. 
*This same argument* applies to IRV, in fact. It was an anomalous 
decision, not sustained anywhere else in the U.S. IRV allows voters 
to cast more than one vote; the particular nature of the rules means 
that only one of these votes is active in each round.


Bucklin allowed more than one vote to be active in each round, but 
there is still only one vote cast in any pairwise election -- or two, 
which is the same in effect as none -- and, in the end, only one vote 
from each voter contributes to the outcome, *all the rest could be 
eliminated without changing the result, but only the margins.*





Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread James Gilmour
 At 07:04 PM 1/5/2009, James Gilmour wrote:
 It is quite clear (and now agreed) that the winner (A) of the
 Exhaustive Ballot example had a majority of the votes at the second
 round and so was the rightful winner of that Exhaustive Ballot.  But 
 it would quite wrong to say that candidate A had the support of
 the majority of those who had taken part in that election, because 
 there were two rounds in that one election and some who voted in
 the first round opted not to vote in the second round.

Abd ul-Rahman Lomax  Sent: Wednesday, January 07, 2009 6:11 PM 
 The error here is in describing exhaustive ballot as if it were a 
 single election. It isn't. It is a series of elections, with the 
 candidate set for each increasingly restricted.

This statement is nonsense.  There is no error in what I wrote.  There is ONE 
election to determine the one winner from the set of
candidates who stand.  In the case of the Exhaustive Ballot the election 
proceeds by a series of rounds (one or more as required),
but it is still ONE election.

James Gilmour
No virus found in this outgoing message.
Checked by AVG - http://www.avg.com 
Version: 8.0.176 / Virus Database: 270.10.3/1879 - Release Date: 06/01/2009 
17:16



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-07 Thread Abd ul-Rahman Lomax

At 07:44 PM 1/5/2009, Kathy Dopp wrote:


IRV/STV cannot claim majority winners, not only because ballots are
exhausted and not considered in the final counting round, but also
because not all voters' choices are even fairly and equally considered
during the counting process - thus resulting in winners who are
disliked by a majority of voters and overlooking candidates who are
preferred by a majority of voters casting votes in the contest.


IRV cannot claim to *consistently* find a majority winner, though 
this is indeed claimed by advocates.


I disagree with Ms. Dopp, however, on one thing. The elimination of a 
Condorcet winner doesn't, itself, guarantee that IRV won't find a 
majority winner in spite of that, it depends.


Majority doesn't mean best, necessarily. It simply means that, in 
an election, more than half of the voters chose to vote for a candidate.


What does this mean, vote for a candidate? IRV obscures it, and, we 
see, in Burlington, that many voters chose to vote for candidates 
whom they clearly didn't support, because they apparently had an idea 
that it was a good thing to rank all the candidates. By ranking all 
the candidates that were on the ballot, they were, effectively, 
voting for a candidate whom they most certainly didn't approve and 
would likely prefer to see a runoff than to elect this candidate.


Usually this is moot, because when they bottom-ranked a candidate 
whom they detested, they were only voting for this candidate over a 
write-in; so only with a massive write-in campaign could this become 
an issue, where the top two were a write-in and the candidate these 
voters ranked last.


Basically, IRV, when it fails to find the Condorcet winner, where, 
indeed, the ballots show an eliminated candidate as being preferred 
to the IRV winner, nevertheless can claim that the winner won by an 
absolute majority, if that happens. Usually, though, because of 
truncation, which will be fairly common for those who voted for the 
Condorcet winner (that is, they truncate with that candidate, who is, 
by the conditions of this problem, probably in second rank for many), 
there will be majority failure as well.


Thus if there is a real runoff *and if write-in votes are allowed in 
the runoff*, the voters *could* fix it. Robert's Rules of Order 
describes STV as a means of finding majorities and *not* as a runoff 
replacement, a true majority of ballots cast is still required. What 
they may not have realized is that IRV is particularly bad at this, 
in nonpartisan elections -- i.e., practically all elections in bodies 
advised by RRO. American Preferential Voting -- Bucklin -- does much 
better, because, if necessary to find a majority, it reveals all the 
votes and counts all of them. And it is *far* simpler to canvass. 
Just count all the votes in each rank. Add them as necessary to find 
a majority.


If they are all added and no majority is found, then there are two 
paths to take: terminate with a Plurality, which is honestly shown in 
the results, or hold a runoff. Because Bucklin was sold as finding 
majorities from a single ballot, the latter was never considered. 
This should sound familiar. Those who ignore history are condemned to 
repeat it.



Abd ul is right that Top two runoff is a lot better system, and TTR is
most likely less costly, definitely is easier to count and more
auditable, is fairer, and both elections are monotonic too.


TTR has some obvious problems, which are easy to fix. Quite simply, 
use a better method in the primary, one which will efficiently find 
true majorities, thus reducing the need for runoffs.


Then, allow write-ins in the runoff, and use a better method for that 
as well. Bucklin, two-rank, would be *great* for this, because it 
would allow write-in voters to still participate among the two 
candidates on the ballot. Usually, in the majority of actual office 
elections like this, there would be a majority in the primary; it's 
hard to say what percentage, though, it depends on context and the 
number of candidates.


If they are partisan elections, a majority in the primary gets more likely.

Then, I'd predict, a majority would be found in the runoffs, almost 
always, yet it would no longer be a majority coerced by the method. 
Write-ins would have a chance, and the situation where something went 
wrong in the primary can be fixed *if the voters care enough about it.*


Basically, a proper goal would be to reduce runoffs, but not to 
eliminate them. It is also possible, with some kinds of plurality 
results, to predict with very high confidence that a runoff would 
produce the same result. However, a majority requirement is very 
clear and simple, and, in my view is quite adequate.


Where one could set the bar lower than that isn't clear to me. I'd 
suggest that with better methods in the primary and runoff, with a 
majority requirement in the primary (not in the runoff), problems 
would be minimized, and analysis of results over 

Re: [EM] Does IRV elect majority winners?

2009-01-06 Thread Juho Laatu
--- On Tue, 6/1/09, James Gilmour jgilm...@globalnet.co.uk wrote:

 If the vote for any one candidate equals or exceeds
 the votes of all the other candidates combined, that
 candidate shall be
 declared elected.

 Here you will see there is no reference to a
 quota, nor is there any reference to a
 majority of any kind.

Good definition. One could use also term
majority in the definition but maybe
better not.

 So here we have an important difference between a
 majority of the votes and a majority of the
 voters.

Good shorthand for different flavours of
majority. Term vote means here given
opinions (not all ballots).

Juho






  


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-06 Thread Juho Laatu
--- On Tue, 6/1/09, Kathy Dopp kathy.d...@gmail.com wrote:

  From: Juho Laatu juho4...@yahoo.co.uk
 
  How should we see other methods like Range
  and Condorcet in this light?
 
 That is not a valid comparison because, unlike IRV/STV,
 both Range and
 Condorcet methods consider *all* rankings or ratings that
 *all* voters
 make on their ballots.

I think this is a different problem of IRV.
In the last round the exhausted ballots have
already been fully considered, and the
remaining ballots that have not been
considered fully can no more change the
result since there are too few of them. The
problem of not considering the votes occurs
already earlier where some good candidates
may be eliminated early.

 
 IRV/STV cannot claim majority winners, not only because
 ballots are
 exhausted and not considered in the final counting round,
 but also
 because not all voters' choices are even fairly and
 equally considered
 during the counting process - thus resulting in winners who
 are
 disliked by a majority of voters and overlooking candidates
 who are
 preferred by a majority of voters casting votes in the
 contest.

There are two questions
- majority at the last round
- majority in the whole election

I guess you are here talking more about
the whole election. Direct claim (without
additional explanations) that IRV elects
THE majority winner would at least be
quite confusing (a majority winner would
be closer to the truth since IRV winner
wins at least one of the others).

 
 Abd ul is right that Top two runoff is a lot better system,
 and TTR is
 most likely less costly, definitely is easier to count and
 more
 auditable, is fairer, and both elections are monotonic too.

I think there are good and bad points.

Juho


 
 Cheers,
 
 Kathy
 
 Election-Methods mailing list - see
 http://electorama.com/em for list info


  


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-06 Thread Dave Ketchum

On Mon, 05 Jan 2009 00:19:29 -0500 Abd ul-Rahman Lomax wrote:

At 10:28 PM 1/4/2009, Dave Ketchum wrote:


On Sun, 04 Jan 2009 16:16:14 -0500 Abd ul-Rahman Lomax wrote:



Perhaps. Perhaps not. That can be a *lot* of preparation, and people 
are busy, many don't already, find time for voting. Bullet voting is 
simple, it can be relatively easy to know who your favorite is.



Agreed that bullet voting is often appropriate.

Only occasional elections provide reason for some voters to do more 
ranking.



And only certain voters. It's relatively uncommon that there are more 
than two frontrunners, and most voters know who they are. Under those 
circumstances, the only strong reason not to bullet vote is if you 
prefer someone other than a frontrunner, and care to express it. The 
argument for Plurality would be that the system shouldn't be encouraging 
useless candidates to run at all! That is, since vote-for-one usually 
works, and the only reason it doesn't work (usually, and even this is 
fairly unusual) is that some silly voters will throw away their vote on 
a candidate who can't win, why should we respect the unexpressed wishes 
of those voters? After all, they had their chance! We don't run 
elections as a popularity contest, i.e., so minor party candidates can 
brag about how many votes they got


Your argument for Plurality is empty:
 Letting useless candidates run in Condorcet means less runoffs than 
for Plurality, for voters can vote for both a frontrunner (helping it win), 
and those the voters desire to have counted even if not expected to win.
 Useless candidates can run in Plurality.  Condorcet lets them get 
voted for without, necessarily, disturbing the frontrunner - also, their 
getting counted helps in the rare occasions when they deserve to win.


*My* point here is that there are some reasons to prefer plurality, we 
often neglect them completely. Whatever system we try to implement, it's 
not likely to be stable if it is more work than it's worth. If all the 
system does is to, nearly always, confirm Plurality results -- and this 
is the case with IRV in nonpartisan elections -- it is a *huge* waste.


Condorcet certainly costs more for the system than Plurality.  Costs 
bullet-voters nothing - provides a service to whichever voters like to do 
more than bullet vote.
 Actually can be a service to candidates.  Clinton and Obama had to 
try to kill their competitor's campaign for the Democrat nomination they 
could not share.  A similar race in Condorcet would let them both get 
nominated and have a more civilized fight as to which should be ranked 
higher than the other on the ballot.


Even if runoffs are possible/expected, it is wise to vote carefully in 
the primary to minimize possibility of bad choices getting to the runoff.


And when it isn't easy to know, having trouble deciding between two, 
Open Voting (Approval) allows a simple option: vote for both!



What is important is that Condorcet, unlike Approval, permits voting 
for both Good and Soso, while indicating that Good is preferred.



Right. However, with American Preferential Voting (Bucklin), you *can* 
indicate your preferences. My point is only that equal ranking, if 
allowed, can be, actually, more expressive.


Bucklin deserves more thought as a competitor to Condorcet.


Looking over the ballots from Burlington, as I just did, I'm struck by 
how many voters do seem to imagine that their votes will be counted! 
Overvotes are more common than I'd expect if they were mere slips. It is 
very easy for me to imagine that voters think that if they vote for more 
than one candidate in one of the ranks, why, the votes will be counted, 
they are merely saying that, for first preference, they prefer either 
the Progressive or the Democrat, or some other combination. The fact is 
that if such votes were counted, they'd make sense, even in IRV. 
(Allowing equal ranking turns IRV into a much better system than without 
it.)


How do you count equal ranking in IRV?  If I vote XA=BY, A and B become 
visible to the counters at the same time - what does this do to deciding 
what candidate is next to mark lost?


Those concerned about Later-No-Harm can simply avoid equal ranking!

If any Condorcet method is used, it should allow equal ranking, 
because this *allows* more sincere voting, in fact.



AGREED that equal ranking should be permitted.



Permitting it with Plurality turns Plurality into a far better system, 
with no cost. Bucklin is very much like Open Voting (i.e., plurality 
with equal ranking allowed, i.e., Approval) except that it is possible 
for the voter to rank so that votes are counted in rounds. The original 
Bucklin only allowed multiple votes in the third rank, but I don't see 
any reason to *prohibit it* -- i.e., discard ballots that equal rank -- 
in the first two ranks.


Approval, Plurality and IRV are distractions from need to pick a live 
destination.  I see need to compare, more 

Re: [EM] Does IRV elect majority winners?

2009-01-06 Thread Abd ul-Rahman Lomax

At 05:58 AM 1/6/2009, James Gilmour wrote:

  --- On Tue, 6/1/09, James Gilmour jgilm...@globalnet.co.uk wrote:
  If the vote for any one candidate equals or exceeds
  the votes of all the other candidates combined, that candidate shall
  be declared elected.

  Here you will see there is no reference to a
  quota, nor is there any reference to a
  majority of any kind.

Juho Laatu   Sent: Tuesday, January 06, 2009 10:31 AM
 Good definition. One could use also term
 majority in the definition but maybe better not.

Juho, most certainly NOT.  The whole point of that wording in the 
ERS IRV (Alternative Vote) rules is that it completely avoids the
word majority which can be given a variety of different 
meanings.   As we can see from some of the posts to this lists even today,
there are those who completely reject any idea of the winner having 
a majority in any IRV election.


I haven't noticed that. I certainly don't believe that, and if James 
has been reading carefully, he'd know that. If the winner of an IRV 
election has received, either in the first round, or after transfers, 
a vote from a majority of ballots cast, the winner is a majority 
winner. Most IRV elections do produce majority winners, unless there 
are very large numbers of candidates.



The ERS wording also makes it clear that the comparison to be made 
is of the numbers of votes for the candidates at the CURRENT
stage of the count.  This is the correct approach because this is an 
STV election in which the preferences marked on the ballot
papers are contingency choices.  So if at stage 2 or some later 
stage, some who voted at stage 1 now opt out and do not indicate any
further preferences, they are, in accordance with their expressed 
wish, left out of the decision-making process about the remaining

candidates.


A lack of a vote is not an expressed wish. If the voter truncates 
with some mark that indicates that, if the voter has explicitly 
indicated that they may be excluded from the majority, this, then, is 
an explicit abstention and, indeed, it would be legitimate to exclude 
such an exhausted ballot. It could be done.


Otherwise a ballot with a vote is not an expressed wish to be left 
out, or abstention, we do violence to the language to claim it is.



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-05 Thread Juho Laatu
One comment on concerns related to IRV's
decision between the last two candidates
on if that decision is a majority decision.

Many ballots may have exhausted before the
last round. As a result one may claim that
the last round decision was not a majority
decision.

The point is that in all elections that
have numerous candidates there is a risk
that voters will not properly indicate
their preferences on those candidates that
turn out to be the strongest competitors.

Typically methods have some agreed way of
handling those unrated/unranked candidates
(or alternatively they require full ratings
/rankings). The typical rule is to consider
those candidates to be at the shared last
position.

Also in IRV one could say that those votes
that were eliminated before the last round
did take position. They said that those two
candidates are both at shared last position.
This may have happened because the voters
really felt so, or since the voters thought
(erroneously) that these candidates had no
chances to win.

How should we see other methods like Range
and Condorcet in this light? If there is a
default handling of candidates that were
not rated/ranked should we say that there
is something wrong with the winner if there
are many votes that did not take position
on the competition between the winner and
its strongest competitors?

It is possible that the voters would have
liked to take position but for some reason
did not know which candidates would be the
strongest in this election. This situation
is the same for all methods. A second round
could improve things. But it may be that
it is enough if the method offers the
voters the option to indicate their opinion.
This should be fair enough, at least if the
number of the candidates is reasonable (not
e.g. 100) or the leading candidates are
well known so that all voters can evaluate
those key candidates if they want to do so.

Juho






  


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-05 Thread James Gilmour
 At 07:04 PM 1/2/2009, James Gilmour wrote:
 So let's try again, with little bit of additional information that
 was (more or less) implied first time.
 
 At a meeting we need to elect one office-bearer (single-office,
 single-winner).  There are four candidates and we decide to use the
 exhaustive ballot (bottom elimination, one at a time) with the 
 requirement that to win, a candidate must obtain a majority of the
 votes.  East person is allowed to vote for only one candidate in 
 each round of the exhaustive ballot and the votes for each
 candidate are to be indicated by show of hands.
  
 First round votes:  A 40;   B  25;  C 20;  D 15.
 No candidate has a majority, so we eliminate D.
  
 Second round votes: A 47;  B 25;  C 20.
 It seems that some of those present who voted for D in the first
 round did not want to vote in the second round  -  but that is
 their privilege.
 
 QUESTION: did candidate A win at the second round with 'a majority
 of the votes'?


Answer   Sent: Saturday, January 03, 2009 6:32 PM
 Yes, A won the second round with a majority of votes.

So we have made some progress.


Now let us suppose the meeting decides to hold this election by STV instead of 
by Exhaustive Ballot (STV = IRV in this single-winner
case).  Each person has only one vote and is required to show his or her 
contingency (STV!!) preferences for as many or as few
candidates as he or she wishes by writing the candidates' names in successive 
order down a small sheet of plain paper (top = 1 =
first preference).

When all the ballot papers have been collected up and the votes counted, we 
find:

First stage: first preferences: A 40;  B 25;  C 20;  D 15.
No candidate has a majority, so we eliminate D and transfer the votes that are 
transferable on D's 15 ballot papers.

Second stage: transfer of D's votes: A 7;  B 0;  C 0;  non-transferable 8. All 
15 ballot papers accounted for.
Votes totals: A 47;  B 25;  C 20.

QUESTION: did candidate A win at the second stage with 'a majority of the 
votes'?

IF the answer to this question about the STV election is different from the 
answer above to the question about the Exhaustive
Ballot, why is it different?

James






No virus found in this outgoing message.
Checked by AVG - http://www.avg.com 
Version: 8.0.176 / Virus Database: 270.10.2/1874 - Release Date: 04/01/2009 
16:32



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-05 Thread James Gilmour
Juho Laatu   Sent: Monday, January 05, 2009 10:46 PM
 One comment on concerns related to IRV's
 decision between the last two candidates
 on if that decision is a majority decision.
 
 Many ballots may have exhausted before the
 last round. As a result one may claim that
 the last round decision was not a majority
 decision.

Juho's post (rest cut) points to two quite separate issues: 
1. How is the 'winner decision' made in an IRV election?
2. What claims can be made for that winner?

In the discussion so far, these two separate issues have been muddled together, 
as they usually are in descriptions of IRV and
discussions about IRV.

It may come as a surprise to some (or all) that the Electoral Reform Society 
(founded 1884) had no rules for IRV (STV single winner)
elections until 1978, when under the supervision of Robert Newland (ERS 
Chairman and mathematician) and Major Frank Britton (ERS
Director of Elections), I codified a set of such rules for the Society.

The standard STV-PR rules all refer to the calculation of a quota, but do make 
provision for the election of one or more winners
without a quota if that becomes necessary.  But it really makes no sense at all 
to apply that approach to a single-winner STV
election, so in the 1978 IRV rules we made no reference to a quota.  Instead, 
the winner, at any stage, was to be determined by this
simple rule:

If the vote for any one candidate equals or exceeds the votes of all the other 
candidates combined, that candidate shall be
declared elected.  

The rules also make it clear that each voter has only one vote and the votes 
are transferred on a contingency basis in accordance
with the successive preferences marked on the relevant ballot papers  -  this 
being an STV election.

Here you will see there is no reference to a quota, nor is there any 
reference to a majority of any kind.  Neither is relevant
to the determination of the winner of an IRV election.  You will find the same 
form of words today in the detailed rules for IRV
(called Alternative Vote) on the ERS website: 
  http://www.electoral-reform.org.uk/article.php?id=116
I commend the wording of those ERS rules to anyone who needs rules for an IRV 
election.


Quite separately from how the winner is defined in the detailed voting system 
rules, there is a question about what claims may be
made for the winner of an IRV election in terms of votes and voters.  And THIS 
is where the issue of majority comes in.

It is quite clear (and now agreed) that the winner (A) of the Exhaustive Ballot 
example had a majority of the votes at the second
round and so was the rightful winner of that Exhaustive Ballot.  But it would 
quite wrong to say that candidate A had the support of
the majority of those who had taken part in that election, because there were 
two rounds in that one election and some who voted in
the first round opted not to vote in the second round.

So here we have an important difference between a majority of the votes and 
a majority of the voters.  But neither is (or should
be) of any relevance to the detailed voting system rules for an IRV election.

James

No virus found in this outgoing message.
Checked by AVG - http://www.avg.com 
Version: 8.0.176 / Virus Database: 270.10.2/1874 - Release Date: 04/01/2009 
16:32



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-05 Thread Kathy Dopp
 From: Juho Laatu juho4...@yahoo.co.uk

 How should we see other methods like Range
 and Condorcet in this light?

That is not a valid comparison because, unlike IRV/STV, both Range and
Condorcet methods consider *all* rankings or ratings that *all* voters
make on their ballots.

IRV/STV cannot claim majority winners, not only because ballots are
exhausted and not considered in the final counting round, but also
because not all voters' choices are even fairly and equally considered
during the counting process - thus resulting in winners who are
disliked by a majority of voters and overlooking candidates who are
preferred by a majority of voters casting votes in the contest.

Abd ul is right that Top two runoff is a lot better system, and TTR is
most likely less costly, definitely is easier to count and more
auditable, is fairer, and both elections are monotonic too.

Cheers,

Kathy

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-04 Thread Abd ul-Rahman Lomax

At 02:29 PM 1/3/2009, Terry Bouricius wrote:

Paul,

I am extremely versed in state legislative parliamentary procedure, as I
served ten years as a state legislator. Nearly every state uses Mason's
Manual instead of RRONR.


That's right. RRONR was based on the practice of the U.S. House of 
Representatives. There are plenty of differences in detail. Every 
deliberative body, as a general rule, may set its own rules governing 
its deliberations. It's actually a loophole one could drive a truck 
through, but, it seems, it is not *much* abused.


(The nuclear option in the Senate involved the presiding officer -- 
possibly Dick Cheney -- ruling that a simple majority was adequate to 
cut off debate on consenting to a judicial appointment; since this 
was contrary to the rules, on the face, presumably there would be an 
appeal of the ruling to the body itself; if I'm correct, it takes a 
majority to overturn the ruling of the chair, but just a simple 
majority, not the 60% required for normal cloture. Needless to say, 
many Senators were concerned about precedent; cloture rules are a 
protection against ill-considered decisions. It's bad enough that, 
not too many years ago, cloture was reduced from 2/3 to 3/5.)



  The basis for calculating majorities is specific
to the situation, or constitutional provision. There are a few cases where
the basis is the entire membership (such as over-riding a veto, etc.) but
for most votes it is a majority of those present and voting -- assuming a
quorum is present.


That's right. Deliberative bodies do not normally use any voting 
system other than simple majority rule, and, if I'm correct, absolute 
majorities are reserved for special situations. It would not be 
desirable for a veto override to be made by a minority of members, 
which can happen if only a quorum is necessary. This is probably an 
example of where the body is restrained by its charter, i.e., the 
state constitution, which, I'd imagine, requires that absolute supermajority.



There are a few rare examples of national popular elections in which the
basis is the entire eligible population, such as some referenda in Italy,
where opponents often urge their adherents not to vote as a way of
blocking the passage of some measure (since all of the abstainers who
don't care to participate one way or the other are effectively counted as
no votes).


This is desirable when a measure takes away essential rights. 
Otherwise it's a device for maintaining status quo, because of the 
difficulty of gaining an absolute majority. However, if such a 
measure is actually and seriously worthwhile, it shouldn't be that 
difficult to gain an absolute majority; it is effectively a 
supermajority requirement, declining in percentage as the turnout 
increases, to a minimum of an absolute majority.



However the norm in governmental elections is to discount all abstainers
from the basis, regardless of the manner of their abstention.


An abstention, however, means someone who doesn't vote on a 
question. This is the only place in this post from Bouricius where he 
appears to be inserting a spin.


Regardless of the manner of their abstention is a loophole one 
could, again, drive a truck through, and, indeed, that's what 
Bouricius is attempting to do. There are two questions, here, and he 
will, if history is a guide, attempt to confuse them, because then 
the argument he will make for the first one, which is stronger, he 
can hope will rub off on the second. Debate tactic.


(1) If there is a preferential ballot, used by such a body, for an 
election or for any multiple-choice question, and a winner is 
determined by the rules, and members have abstained from making some 
pairwise comparisons, is this an abstention if they have voted in 
other pairwise races? It is clearly an abstention if they have voted 
in none. But, if they have voted for someone, one candidate at least, 
participating in the process, the usage of the term abstention 
becomes highly problematic. It is like an abstention, in some ways, 
but it is an abstention that generally represents equal-ranking 
bottom, i.e., a pure No on the election of all those not ranked; 
because the voter is utterly opposed -- one may assume by default -- 
to all those candidates, ranking them would imply approval of any one 
of them ranked, and could create a majority, and therefore the voter 
will be responsible for electing someone whom the voter might 
consider to be a monstrous choice. And this is how Robert's Rules 
will treat it, and Robert's Rules does consider the question. It is 
not an abstention, it's a vote, and it counts in the basis for 
majority. And I also think this is just plain common sense. Does 
Mason's Manual even consider the question?


(2) If the ballot does not allow full ranking, and a voter has used 
the available ranks, is the vote then an abstention against all other 
pairs? Given that Bouricius has already stated that he doesn't 
consider methods 

Re: [EM] Does IRV elect majority winners?

2009-01-04 Thread Abd ul-Rahman Lomax

At 07:48 AM 1/3/2009, Kristofer Munsterhjelm wrote:

By considering the runoff process in this manner, we find that 
runoffs aren't magic - they only ensure that a sincere Condorcet 
loser won't be elected, and if there's a sincere CW and the CW is in 
the runoff, that said CW will win.


This is a common assumption, and it only holds under three 
(unrealistic) assumptions:


(1) The same voters vote in the runoff.
(2) They fully ranked in the primary.
(3) They didn't change their minds.

Preference strength affects all three of this, in a particular 
direction. Usually, yes, the Condorcet winner will win; however, I 
could also say that the Range winner will usually win. Usually, they 
are the same candidate!


So what happens when they differ? That depends on how strategic 
voting has affected the votes. Generally, though, if the Range votes, 
overall, represent realistic averaging of the voter positions, the 
Range winner will prevail in the runoff against the first-round 
Condorcet winner.


Of course, that first-round winner is no longer the Condorcet winner. 
The runoff is a separate election.


The system is Condorcet compliant, overall, because a true -- stable 
-- Condorcet winner will prevail. However, that doesn't at all mean 
that a Condorcet winner from the primary ballot (let's assume it's a 
Range ballot, so both Range and pairwise analysis may be done) will 
necessarily win.


A single runoff isn't magic, though, but it's like the old saying, 
two heads are better than one. The difference between two people 
working on a problem and just one can be drastic. Two rounds starts 
to approach, makes a large step toward, deliberative process, which 
is *intelligent*. It is not merely aggregation any more.


It starts to approach what a sound and accurately representative 
parliamentary system would do, except that we probably get better 
results if we simply create that system and allow it to select single 
winners, i.e., officers.


 If you had a pessimal primary method that picked the two last 
place candidates in a Condorcet method after the Condorcet loser 
had been removed, and the ballots were sincere, the runoff would 
still pick a bad candidate (unless number of candidates = 3). If a 
runoff provides majority support, then that bad candidate would 
be supported by a majority.


I don't agree that runoffs, in themselves, necessarily provide 
majority support, except technically. In substance, no, because of 
the restrictions. If there is no restriction, such as write-in votes 
being allowed, it's a different story. *But nobody seems to have 
noticed that we do have write-ins allowed in some runoffs, and that 
right is being chipped away by those in power.*


Still, there's one important thing to remember when dealing with 
(two-candidate) runoffs: the second round will be sincere, since 
there are just two candidates and the simple whoever gets the most 
votes wins is strategyproof for two candidates. This means that the 
strategy employed will be focused on the first round (the primary) 
to pass the strategists' preferred candidates for the second round. 
Also, even if they succeed in making the system pass one candidate 
to the next round, they'll fail if the other candidate is preferred 
to him (sincerely).


That's right. Two-round systems, arguably, make the best choice among 
the top two. In nonpartisan elections, turns out, about one out of 
three times, IRV gets it wrong, i.e., decides differently than the 
electorate would decide directly.





Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-04 Thread Abd ul-Rahman Lomax

At 07:44 PM 1/3/2009, Dave Ketchum wrote:
BTW, I would not do runoffs with Condorcet, even with cycles - 
promise of no runoffs can encourage more careful preparation for the 
primary vote where Condorcet allows complete ranking.


Perhaps. Perhaps not. That can be a *lot* of preparation, and people 
are busy, many don't already, find time for voting. Bullet voting is 
simple, it can be relatively easy to know who your favorite is.


And when it isn't easy to know, having trouble deciding between two, 
Open Voting (Approval) allows a simple option: vote for both!


If any Condorcet method is used, it should allow equal ranking, 
because this *allows* more sincere voting, in fact.


However, majority vote and avoidance of all runoffs are two 
incompatible goals. So the question is, how important is it that a 
majority of those voting support the winner?


I'd say it is a bare minimum! We have a defective democracy when we 
elect with other than a majority, either of voters directly, or 
through chosen representatives. Where representation is involved, we 
have a defective democracy even with a majority!



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-04 Thread Abd ul-Rahman Lomax

At 10:28 PM 1/4/2009, Dave Ketchum wrote:

On Sun, 04 Jan 2009 16:16:14 -0500 Abd ul-Rahman Lomax wrote:


Perhaps. Perhaps not. That can be a *lot* of preparation, and 
people are busy, many don't already, find time for voting. Bullet 
voting is simple, it can be relatively easy to know who your favorite is.


Agreed that bullet voting is often appropriate.

Only occasional elections provide reason for some voters to do more ranking.


And only certain voters. It's relatively uncommon that there are more 
than two frontrunners, and most voters know who they are. Under those 
circumstances, the only strong reason not to bullet vote is if you 
prefer someone other than a frontrunner, and care to express it. The 
argument for Plurality would be that the system shouldn't be 
encouraging useless candidates to run at all! That is, since 
vote-for-one usually works, and the only reason it doesn't work 
(usually, and even this is fairly unusual) is that some silly voters 
will throw away their vote on a candidate who can't win, why should 
we respect the unexpressed wishes of those voters? After all, they 
had their chance! We don't run elections as a popularity contest, 
i.e., so minor party candidates can brag about how many votes they got


*My* point here is that there are some reasons to prefer plurality, 
we often neglect them completely. Whatever system we try to 
implement, it's not likely to be stable if it is more work than it's 
worth. If all the system does is to, nearly always, confirm Plurality 
results -- and this is the case with IRV in nonpartisan elections -- 
it is a *huge* waste.


Even if runoffs are possible/expected, it is wise to vote carefully 
in the primary to minimize possibility of bad choices getting to the runoff.
And when it isn't easy to know, having trouble deciding between 
two, Open Voting (Approval) allows a simple option: vote for both!


What is important is that Condorcet, unlike Approval, permits voting 
for both Good and Soso, while indicating that Good is preferred.


Right. However, with American Preferential Voting (Bucklin), you 
*can* indicate your preferences. My point is only that equal ranking, 
if allowed, can be, actually, more expressive.


Looking over the ballots from Burlington, as I just did, I'm struck 
by how many voters do seem to imagine that their votes will be 
counted! Overvotes are more common than I'd expect if they were mere 
slips. It is very easy for me to imagine that voters think that if 
they vote for more than one candidate in one of the ranks, why, the 
votes will be counted, they are merely saying that, for first 
preference, they prefer either the Progressive or the Democrat, or 
some other combination. The fact is that if such votes were counted, 
they'd make sense, even in IRV. (Allowing equal ranking turns IRV 
into a much better system than without it.)


Those concerned about Later-No-Harm can simply avoid equal ranking!

If any Condorcet method is used, it should allow equal ranking, 
because this *allows* more sincere voting, in fact.


AGREED that equal ranking should be permitted.


Permitting it with Plurality turns Plurality into a far better 
system, with no cost. Bucklin is very much like Open Voting (i.e., 
plurality with equal ranking allowed, i.e., Approval) except that it 
is possible for the voter to rank so that votes are counted in 
rounds. The original Bucklin only allowed multiple votes in the third 
rank, but I don't see any reason to *prohibit it* -- i.e., discard 
ballots that equal rank -- in the first two ranks.


It makes one less reason to discard and not count a vote

In the Burlington election, there were 77 blank ballots, if we can 
believe the images. I suspect that, in fact, some of these weren't 
blank, but that they had no vote in the first rank. Another technical 
reason to discard a ballot. A voter thinks, I really don't like any 
of these guys much, so I'll just leave the first preference blank -- 
not realizing that, probably, by the rules, the ballot won't be 
counted at all. IRV is *complicated.*


On a Bucklin ballot, I'd argue, abstaining from the first rank 
shouldn't cause later ranked votes not to be counted. (And I'd argue 
that there is no reason in IRV to not count ballots with a vote in 
second rank, but none if first. The intended meaning is reasonably clear.)


However, majority vote and avoidance of all runoffs are two 
incompatible goals. So the question is, how important is it that a 
majority of those voting support the winner?


The CW has been compared with EACH other candidate, and found better 
liked in every case.  However this does not guarantee a majority, 
since voters are not each required to rank all candidates.


That's right. And, in fact, it could only be a small minority who so 
voted, i.e., that the winner was better liked. Majority 
requirements *require* that the electorate actually consider and 
accept or reject a winner.



When there is a cycle its 3 or 

Re: [EM] Does IRV elect majority winners?

2009-01-03 Thread Kristofer Munsterhjelm

Paul Kislanko wrote:

I don't believe RRs or practical implementations thereof define percentages
this way.

For instance, the US Senate rules call for 60 votes, not 60% of the Senators
who vote, in their rules. Likewise by leaving the state, for a time Texas
Democrats delayed the (ridiculous) re-districting plan the Republicans
eventually got passed anyway by just reducing the numerator for a fixed
denominator.

Legislatures who follow RRoO pretty much define majority by majority of
eligible voters. If we want to depend upon majority-criteria we need to
pick whether we mean majority of voters or majority of eligible voters. If
we chose the latter definition then NO method can make such a claim, unless
it has a specific method for dealing with non-voters.

If we chose the majority of voters approach, then Bucklin is an efficient
way to find all majorities that support any alternative. IRV is problematic,
because the method changes the definition of voters in each round. I'm not
sure IRV is unconstitutional, but it is repugnant.


In another respect, Condorcet is an efficient way to find majorities 
that support an alternative. If we (for the sake of simplicity) assume 
voters are sincere and runoffs have similar turnout as primaries, then 
if X pairwise beats Y, X would beat Y in a runoff. If X's a sincere CW, 
it win a runoff, no matter who it ran against.


There are confounding factors: voters may employ strategy, and Abd's 
point that only the voters that care show up for the runoff may be true. 
However, these factors will exist for Bucklin (and IRV and any other 
method) as well.


By considering the runoff process in this manner, we find that runoffs 
aren't magic - they only ensure that a sincere Condorcet loser won't be 
elected, and if there's a sincere CW and the CW is in the runoff, that 
said CW will win. If you had a pessimal primary method that picked the 
two last place candidates in a Condorcet method after the Condorcet 
loser had been removed, and the ballots were sincere, the runoff would 
still pick a bad candidate (unless number of candidates = 3). If a 
runoff provides majority support, then that bad candidate would be 
supported by a majority.


Still, there's one important thing to remember when dealing with 
(two-candidate) runoffs: the second round will be sincere, since there 
are just two candidates and the simple whoever gets the most votes 
wins is strategyproof for two candidates. This means that the strategy 
employed will be focused on the first round (the primary) to pass the 
strategists' preferred candidates for the second round. Also, even if 
they succeed in making the system pass one candidate to the next round, 
they'll fail if the other candidate is preferred to him (sincerely).


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-03 Thread Abd ul-Rahman Lomax

At 10:02 PM 1/2/2009, Paul Kislanko wrote:

In real elections the problem is that the Powers That Be chose to not
allow me to vote at all, despite the fact I'm a registered voter. So
whatever method you propose or support I consider irrelevant, until you sort
out the problems on the collection side.


How about:

Count All the Votes!

(Approval, or can be applied to Bucklin, for example, but also works 
for voting security and accuracy.)



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-03 Thread Abd ul-Rahman Lomax

At 05:40 PM 1/2/2009, Jonathan Lundell wrote:

On Jan 2, 2009, at 2:26 PM, Abd ul-Rahman Lomax wrote:


Elections aren't merely picking some ideal best winner in a bad
situation, they are seeking, if a majority is sought, one who will
be accepted, *at least*, by most voters.


That may well be a desideratum, but it's not the case in real
elections. I've certainly contributed (or tried to contribute) to
majorities by voting for a less-unacceptable candidate. It's rational,
but it doesn't constitute acceptance except in some weak sense,
perhaps acquiescence.


You made the choice to accept. Compromises are part of any 
single-winner democratic process. It's possible to reduce compromise 
to a minimum with Asset Voting (and with certain rules, the 
compromise only applies to representation in deliberation); 
otherwise, it will always be there.


There are no public elections, i.e., submitted to the general 
electorate, where majority acceptance is required. It is simply 
approached by some methods, not in general use. In particular, TTR is 
most often not used for partisan elections; probably the excuse for 
this is that the party primary systems, or party nominations systems, 
creates a kind of two-round system (where the primary rounds are distinct).


I don't see contributing to a majority as, in itself, a legitimate 
goal, unless you really are accepting that candidate as a reasonable 
compromise. Otherwise, it's a faux majority, caused by severe 
compromise as a strategy. Election by plurality would at least be honest.


There is only one system which would fully satisfy the desire to vote 
with complete sincerity, and that would be Asset. I think it a waste 
to use Asset for only individual single-winner elections (if you are 
going to create this body of public voters, why not put it to more 
uses), but it would be simple enough and would, in fact, produce 
results where the result was accepted *by a majority of the voters or 
by someone the voters freely chose to represent them, publicly, in 
that process.* And, of course, anyone could become a public voter. So 
the only compromise involved, even in the extreme case -- don't trust 
anyone except yourself -- is with practicality, and that becomes an 
individual choice.



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-03 Thread Terry Bouricius
Paul,

I am extremely versed in state legislative parliamentary procedure, as I 
served ten years as a state legislator. Nearly every state uses Mason's 
Manual instead of RRONR.  The basis for calculating majorities is specific 
to the situation, or constitutional provision. There are a few cases where 
the basis is the entire membership (such as over-riding a veto, etc.) but 
for most votes it is a majority of those present and voting -- assuming a 
quorum is present.

There are a few rare examples of national popular elections in which the 
basis is the entire eligible population, such as some referenda in Italy, 
where opponents often urge their adherents not to vote as a way of 
blocking the passage of some measure (since all of the abstainers who 
don't care to participate one way or the other are effectively counted as 
no votes).

However the norm in governmental elections is to discount all abstainers 
from the basis, regardless of the manner of their abstention.

Terry

- Original Message - 
From: Paul Kislanko kisla...@airmail.net
To: 'Terry Bouricius' ter...@burlingtontelecom.net; 
jgilm...@globalnet.co.uk; election-methods@lists.electorama.com; 'Abd 
ul-Rahman Lomax' a...@lomaxdesign.com
Sent: Friday, January 02, 2009 4:11 PM
Subject: RE: [EM] Does IRV elect majority winners?


I don't believe RRs or practical implementations thereof define 
percentages
this way.

For instance, the US Senate rules call for 60 votes, not 60% of the 
Senators
who vote, in their rules. Likewise by leaving the state, for a time Texas
Democrats delayed the (ridiculous) re-districting plan the Republicans
eventually got passed anyway by just reducing the numerator for a fixed
denominator.

Legislatures who follow RRoO pretty much define majority by majority of
eligible voters. If we want to depend upon majority-criteria we need to
pick whether we mean majority of voters or majority of eligible voters. If
we chose the latter definition then NO method can make such a claim, 
unless
it has a specific method for dealing with non-voters.

If we chose the majority of voters approach, then Bucklin is an 
efficient
way to find all majorities that support any alternative. IRV is 
problematic,
because the method changes the definition of voters in each round. I'm 
not
sure IRV is unconstitutional, but it is repugnant.

-Original Message-
From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Terry
Bouricius
Sent: Friday, January 02, 2009 2:54 PM
To: jgilm...@globalnet.co.uk; election-methods@lists.electorama.com; Abd
ul-Rahman Lomax
Subject: Re: [EM] Does IRV elect majority winners?

Abd,

I think you miss-understood James Gilmour's question. He was asking about
an exhaustive ballot election without any ranked-choice ballots. In his
scenario 100 voters vote in the first round and 92 vote in the second
round. Does the final round winner with 47 votes win with a majority?
Robert's Rules and governmental election statutes would describe this
candidate as a majority winner I believe.

Terry Bouricius


- Original Message - 
From: Abd ul-Rahman Lomax a...@lomaxdesign.com
To: jgilm...@globalnet.co.uk; election-methods@lists.electorama.com
Sent: Friday, January 02, 2009 3:23 PM
Subject: Re: [EM] Does IRV elect majority winners?


At 06:34 AM 1/2/2009, James Gilmour wrote:
Dave Ketchum   Sent: Friday, January 02, 2009 6:07 AM
  Terry and Abd look set to duel forever.
 
  Conduct of elections is a serious topic, but both of them
  offer too many words without usefully covering the topic.

So let's try a small number of numbers.

At a meeting we need to elect one office-bearer (single-office,
single-winner).  There are four candidates and we decide to use the
exhaustive ballot (bottom elimination, one at a time) with the
requirement that to win, a candidate must obtain a majority of the
votes.

First round votes:  A 40;   B  25;  C 20;  D 15.
No candidate has a majority, so we eliminate D.

Second round votes: A 47;  B 25;  C 20.
It seems that some of those present who voted for D in the first
round did not want to vote in the second round  -  but that is
their privilege.

QUESTION: did candidate A win at the second round with 'a majority
of the votes'?

James Gilmour

How many people voted in the election? Looks to me like 100. Could be
more, actually; Robert's Rules considers all non-blank ballots that
might possibly intend a vote, including overvotes. But let's stick with
100.

How many people voted for A? We don't know, actually! IRV doesn't
count all the votes. However, what the method has found is 47. We
know that 47 voters voted for A.

Are the ballots with a single vote for D on them votes? Surely
those voters think they voted. Their ballots were recognized as legal.

The FairVote propaganda sometimes talks about majority without any
qualification at all as to what it refers to; they are depending on
voters imagining they know what

Re: [EM] Does IRV elect majority winners?

2009-01-03 Thread Kathy Dopp
 Date: Sat, 3 Jan 2009 14:29:23 -0500
 From: Terry Bouricius
 However the norm in governmental elections is to discount all abstainers
 from the basis, regardless of the manner of their abstention.

Terry,

You redefine abstainer from the common usage of a person who does
not vote in an election contest, to the unfortunate person who didn't
happen to vote for one of the two candidates left standing in the
final IRV/STV counting round.

Again, this may be a clever way to mislead the public by using a very
unusual definition of what a majority winner is by first defining
majority as 50% plus one of a group of voters who does not abstain
from voting and then redefining the concept of abstainer to a person
who does not vote for one of the particular candidates who are left in
the final IRV/STV counting round.

It seems that IRV/STV proponents have no limit for the convolutions
they'll use to justify their own unique definitions of commonly
understood concepts like majority in order to mislead the public
into supporting IRV/STV.

Cheers,

Kathy

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Markus Schulze
Dear James Gilmour,

you wrote (2 Jan 2009):

 So let's try a small number of numbers.

 At a meeting we need to elect one office-bearer
 (single-office, single-winner).  There are four
 candidates and we decide to use the exhaustive
 ballot (bottom elimination, one at a time) with
 the requirement that to win, a candidate must
 obtain a majority of the votes.

 First round votes:  A 40;   B  25;  C 20;  D 15.
 No candidate has a majority, so we eliminate D.

 Second round votes: A 47;  B 25;  C 20.
 It seems that some of those present who voted
 for D in the first round did not want to vote in
 the second round  -  but that is their privilege.

 QUESTION: did candidate A win at the second round
 with 'a majority of the votes'?

Whatever the statement the winner always wins a
majority of the votes means, this statement must
be defined in such a manner that you only need to
know the winner for every possible situation (but
you don't need to know the used algorithm to
calculate the winner) to verify/falsify the
validity of this statement. Otherwise, this
statement is only a tautology.

Markus Schulze



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread James Gilmour
  James Gilmour  wrote (2 Jan 2009):
  So let's try a small number of numbers.
 
  At a meeting we need to elect one office-bearer (single-office, 
  single-winner).  There are four candidates and we decide to use the 
  exhaustive ballot (bottom elimination, one at a time) with
  the requirement that to win, a candidate must
  obtain a majority of the votes.
 
  First round votes:  A 40;   B  25;  C 20;  D 15.
  No candidate has a majority, so we eliminate D.
 
  Second round votes: A 47;  B 25;  C 20.
  It seems that some of those present who voted
  for D in the first round did not want to vote in
  the second round  -  but that is their privilege.
 
  QUESTION: did candidate A win at the second round
  with 'a majority of the votes'?

Markus Schulze  Sent: Friday, January 02, 2009 2:51 PM 
 Whatever the statement the winner always wins a
 majority of the votes means, this statement must
 be defined in such a manner that you only need to
 know the winner for every possible situation (but
 you don't need to know the used algorithm to
 calculate the winner) to verify/falsify the
 validity of this statement. Otherwise, this
 statement is only a tautology.

Markus, I don't know where the statement  the winner always wins a majority of 
the votes came from, but it is not mine, and in my
opinion, it does not take the discussion any further forward..

What I wrote, very specifically, was with the requirement that to win, a 
candidate must obtain a majority of the votes.
Statements of this kind, and in these words (or words almost identical to 
these), are used when elections are held at meetings and
are conducted either by show of hands or by informal paper ballot  This form of 
words distinguishes such elections from those where
a single-round plurality result would be accepted, when the corresponding 
statement from the Returning Officer would be something
like and the winner will be the candidate with the most votes.

This thread is about the meaning of the expression a majority of the votes.   
I presented the simple scenario above to see what
views there might be about the meaning of a majority of the votes in that 
specific situation.

James

No virus found in this outgoing message.
Checked by AVG - http://www.avg.com 
Version: 8.0.176 / Virus Database: 270.10.2/1871 - Release Date: 01/01/2009 
17:01



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Markus Schulze
Dear James Gilmour,

you wrote (2 Jan 2009):

 So let's try a small number of numbers.

 At a meeting we need to elect one office-bearer
 (single-office, single-winner).  There are four
 candidates and we decide to use the exhaustive
 ballot (bottom elimination, one at a time) with
 the requirement that to win, a candidate must
 obtain a majority of the votes.

 First round votes:  A 40;   B  25;  C 20;  D 15.
 No candidate has a majority, so we eliminate D.

 Second round votes: A 47;  B 25;  C 20.
 It seems that some of those present who voted
 for D in the first round did not want to vote in
 the second round  -  but that is their privilege.

 QUESTION: did candidate A win at the second round
 with 'a majority of the votes'?

I wrote (2 Jan 2009):

 Whatever the statement the winner always wins a
 majority of the votes means, this statement must
 be defined in such a manner that you only need to
 know the winner for every possible situation (but
 you don't need to know the used algorithm to
 calculate the winner) to verify/falsify the
 validity of this statement. Otherwise, this
 statement is only a tautology.

You wrote (2 Jan 2009):

 Markus, I don't know where the statement the
 winner always wins a majority of the votes came
 from, but it is not mine, and in my opinion, it
 does not take the discussion any further forward..

 What I wrote, very specifically, was with the
 requirement that to win, a candidate must obtain
 a majority of the votes. Statements of this kind,
 and in these words (or words almost identical
 to these), are used when elections are held at
 meetings and are conducted either by show of
 hands or by informal paper ballot  This form of
 words distinguishes such elections from those
 where a single-round plurality result would be
 accepted, when the corresponding statement from
 the Returning Officer would be something like
 and the winner will be the candidate with the
 most votes.

 This thread is about the meaning of the
 expression a majority of the votes.
 I presented the simple scenario above to see
 what views there might be about the meaning of
 a majority of the votes in that specific
 situation.

This thread is rather about the meaning of the
expression to win a majority of the votes.

Markus Schulze



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Terry Bouricius
Dave makes a good point, that I may have emulated Abd in verbosity in
making my point. Here it is in a nutshell:

Since the two-round runoff election system widely used in the U.S. that
involves counting votes in two rounds is said to always elect a majority
winner, meaning a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff, then by the identical logic, an IRV winner is also a majority
winner who ALSO has a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff. Both methods define a majority by excluding from the basis for
calculating the majority threshold all of the voters who may have voted
for a candidate in the first round but abstain (do not indicate any
preference) in the final round. In sum...If two round runoffs result in
majority winners so does IRV.

Terry Bouricius

- Original Message - 
From: Dave Ketchum da...@clarityconnect.com
To: Terry Bouricius ter...@burlingtontelecom.net
Cc: election-methods@lists.electorama.com; Abd ul-Rahman Lomax
a...@lomaxdesign.com
Sent: Friday, January 02, 2009 1:06 AM
Subject: Re: [EM] Does IRV elect majority winners?


Terry and Abd look set to duel forever.

Conduct of elections is a serious topic, but both of them offer too many
words without usefully covering the topic.

They offer RRONR as ammunition in a war it was never intended for:  Over
100 years ago General Robert had to chair a meeting.  As an army general
he
should be able to handle such a task?  After doing it he decided there
better be batter directions put together for the future.  The resulting
rules continue to be used by many.

RRONR has a few pages about elections.  Unlike some of their directions
for
new meeting chairs, these are not designed for blind obedience.  Their
major direction is that whoever does serious elections had better decide
carefully and formally agree as to how they will do such.

Meaning of 'majority' is their big dispute.

IRV documentation claims its found winner has a majority (with no attached
statement of what this means) and Terry defends this usage.

Abd claims this is deception, if not worse:

Majority means more than half and, without qualification, means of the
whole thing measured.
  Blanks are excludable - presumably their voters chose not to
participate in deciding whatever is voted on.
  Exhausted ballots are not excludable - those voters certainly
participated, though for other candidates.  But IRV, claiming a majority,
has to be excluding these since IRV only has a majority between the last
two candidates considered.

Therefore Abd complains since:
  Deciders can be sold IRV based on the Fairvote claim of majority.
  Anyone looking close will disagree due to failure of IRV to produce
a
true majority.

On Tue, 30 Dec 2008 18:59:09 -0500 Terry Bouricius wrote:
   I take offense at Abd repeatedly suggesting I am a liar or am engaging
in
   deception. We have a legitimate difference of opinion about the
   appropriate use of the term majority and interpretation of RRONR.
  
...
  
   - Original Message -
   From: Abd ul-Rahman Lomax a...@lomaxdesign.com
   To: Terry Bouricius ter...@burlingtontelecom.net;
   kathy.d...@gmail.com; election-methods@lists.electorama.com
   Sent: Monday, December 29, 2008 11:55 PM
   Subject: Re: [EM] Why I think IRV isn't a serious alternative 2
  
  
   At 08:50 PM 12/29/2008, Terry Bouricius wrote:
  
  Kathy Dopp wrote:
  
  snip
  since abstentions or blanks are from those who have not voted.
  snip
  
  I believe my interpretation of Robert's Rules of Order is correct. In
  order for a ballot being reviewed by a teller to be blank, and thus
  excluded from the majority threshold calculation, as directed by
Robert's
  Rule of order, the voter must certainly have submitted a ballot paper.
  
  
   Bouricius, you are totally off, stretching, trying desperately to
   find ways to interpret the words there to mean what you want them to
mean.
  
...
  
   And now the kicker: we have explained -- and I could cite word for
   word, and have in many places -- the explicit language of Robert's
   Rules of Order on this. Bouricius has just said the exact opposite of
   the truth. What he is proposing as the meaning of abstention, and
   the basis for majority, is totally contrary to the plain language of
   RRONR, not to mention the usual interpretation.
  
   Usual interpretation by whom? By FairVote activists and those duped by
   them?
  
   I'm saddened, to tell you the truth. This is the absolute worst
   argument I've ever seen from Bouricius, it's word manipulation to try
   to take a text and make it say the exact opposite of what it plainly
says.
  
   I'd thought that he was above that, but, apparently not.
  
   The public will *not* be fooled when the issues are made plain and
clear.
-- 
da...@clarityconnect.com

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Paul Kislanko
Not to muddy an already muddied water, but if I define majority to be
50%+1 of ELIGIBLE VOTERS no method can claim to select a majority winner
unless there's a large turnout in every round (for systems that include more
than one round of VOTING.) 

-Original Message-
From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Terry
Bouricius
Sent: Friday, January 02, 2009 12:23 PM
To: Dave Ketchum; election-methods@lists.electorama.com
Subject: Re: [EM] Does IRV elect majority winners?

Dave makes a good point, that I may have emulated Abd in verbosity in
making my point. Here it is in a nutshell:

Since the two-round runoff election system widely used in the U.S. that
involves counting votes in two rounds is said to always elect a majority
winner, meaning a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff, then by the identical logic, an IRV winner is also a majority
winner who ALSO has a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff. Both methods define a majority by excluding from the basis for
calculating the majority threshold all of the voters who may have voted
for a candidate in the first round but abstain (do not indicate any
preference) in the final round. In sum...If two round runoffs result in
majority winners so does IRV.

Terry Bouricius

- Original Message - 
From: Dave Ketchum da...@clarityconnect.com
To: Terry Bouricius ter...@burlingtontelecom.net
Cc: election-methods@lists.electorama.com; Abd ul-Rahman Lomax
a...@lomaxdesign.com
Sent: Friday, January 02, 2009 1:06 AM
Subject: Re: [EM] Does IRV elect majority winners?


Terry and Abd look set to duel forever.

Conduct of elections is a serious topic, but both of them offer too many
words without usefully covering the topic.

They offer RRONR as ammunition in a war it was never intended for:  Over
100 years ago General Robert had to chair a meeting.  As an army general
he
should be able to handle such a task?  After doing it he decided there
better be batter directions put together for the future.  The resulting
rules continue to be used by many.

RRONR has a few pages about elections.  Unlike some of their directions
for
new meeting chairs, these are not designed for blind obedience.  Their
major direction is that whoever does serious elections had better decide
carefully and formally agree as to how they will do such.

Meaning of 'majority' is their big dispute.

IRV documentation claims its found winner has a majority (with no attached
statement of what this means) and Terry defends this usage.

Abd claims this is deception, if not worse:

Majority means more than half and, without qualification, means of the
whole thing measured.
  Blanks are excludable - presumably their voters chose not to
participate in deciding whatever is voted on.
  Exhausted ballots are not excludable - those voters certainly
participated, though for other candidates.  But IRV, claiming a majority,
has to be excluding these since IRV only has a majority between the last
two candidates considered.

Therefore Abd complains since:
  Deciders can be sold IRV based on the Fairvote claim of majority.
  Anyone looking close will disagree due to failure of IRV to produce
a
true majority.

On Tue, 30 Dec 2008 18:59:09 -0500 Terry Bouricius wrote:
   I take offense at Abd repeatedly suggesting I am a liar or am engaging
in
   deception. We have a legitimate difference of opinion about the
   appropriate use of the term majority and interpretation of RRONR.
  
...
  
   - Original Message -
   From: Abd ul-Rahman Lomax a...@lomaxdesign.com
   To: Terry Bouricius ter...@burlingtontelecom.net;
   kathy.d...@gmail.com; election-methods@lists.electorama.com
   Sent: Monday, December 29, 2008 11:55 PM
   Subject: Re: [EM] Why I think IRV isn't a serious alternative 2
  
  
   At 08:50 PM 12/29/2008, Terry Bouricius wrote:
  
  Kathy Dopp wrote:
  
  snip
  since abstentions or blanks are from those who have not voted.
  snip
  
  I believe my interpretation of Robert's Rules of Order is correct. In
  order for a ballot being reviewed by a teller to be blank, and thus
  excluded from the majority threshold calculation, as directed by
Robert's
  Rule of order, the voter must certainly have submitted a ballot paper.
  
  
   Bouricius, you are totally off, stretching, trying desperately to
   find ways to interpret the words there to mean what you want them to
mean.
  
...
  
   And now the kicker: we have explained -- and I could cite word for
   word, and have in many places -- the explicit language of Robert's
   Rules of Order on this. Bouricius has just said the exact opposite of
   the truth. What he is proposing as the meaning of abstention, and
   the basis for majority, is totally contrary to the plain

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Paul Kislanko
I think the cited text provides an important distinction we need to use on
EM. 

In theory, we want to discuss election methods based upon how they collect
and count ballots, which is analytic in some sense. As soon as you
introduce real candidates and party politics (i.e. strategies) we get a
real mess that is not so easily analyzed.

This is relevant to the how do you define majority? question because if
the denominator doesn't include all of the non-voters who dis-approve of
EVERY alternative it's not a majority of stakeholders and in some sense
you need to count the non-voters, especially if the method discards ballots
in its counting rounds.

So, just from a logical perspective a claim to always select a
majority-approved winner must define majority in terms of Eligible
Voters.  Or at least define majority in terms of voters in the first
round. So, an IRV winner with 47 votes out of 100 originally cast is NOT a
majority-winner.

Bucklin is a method that identifies the rank for which a Majority agrees the
alternative should be ranked at least that highly. No information is
discarded in the counting process, and no ballots are ignored just because
the ballots' #1 isn't a plurality winner.

If we make the reasonable assumption that majority be defined in terms of
the number of eligible voters who cast any (ranked-) ballot at all, we'd
prefer counting methods that do not discard any of those ballots.

Just my opinion.

-Original Message-
From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Jonathan
Lundell

In the immortal words of Jim Hightower, If the gods had meant us to  
vote, they would have given us candidates.


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Abd ul-Rahman Lomax

At 06:34 AM 1/2/2009, James Gilmour wrote:

Dave Ketchum   Sent: Friday, January 02, 2009 6:07 AM
 Terry and Abd look set to duel forever.

 Conduct of elections is a serious topic, but both of them
 offer too many words without usefully covering the topic.

So let's try a small number of numbers.

At a meeting we need to elect one office-bearer (single-office, 
single-winner).  There are four candidates and we decide to use the
exhaustive ballot (bottom elimination, one at a time) with the 
requirement that to win, a candidate must obtain a majority of the

votes.

First round votes:  A 40;   B  25;  C 20;  D 15.
No candidate has a majority, so we eliminate D.

Second round votes: A 47;  B 25;  C 20.
It seems that some of those present who voted for D in the first 
round did not want to vote in the second round  -  but that is

their privilege.

QUESTION: did candidate A win at the second round with 'a majority 
of the votes'?


James Gilmour


How many people voted in the election? Looks to me like 100. Could be 
more, actually; Robert's Rules considers all non-blank ballots that 
might possibly intend a vote, including overvotes. But let's stick with 100.


How many people voted for A? We don't know, actually! IRV doesn't 
count all the votes. However, what the method has found is 47. We 
know that 47 voters voted for A.


Are the ballots with a single vote for D on them votes? Surely 
those voters think they voted. Their ballots were recognized as legal.


The FairVote propaganda sometimes talks about majority without any 
qualification at all as to what it refers to; they are depending on 
voters imagining they know what it means, they know that this 
imagination will lead them to support IRV. Sometimes, however, we 
see, majority of the votes. Or, in what is even more of a stretch, 
the winner will still be required to win a majority of the votes. A 
requirement implies a standard that can fail. The IRV method can't 
fail to find a last round majority, it's simple math -- if we except ties.


But in Santa Clara, the arguments went further. Majority of the 
ballots was used. Once again, one could weasel out of the claim of 
deception. Why, we just meant, of course, majority of the ballots 
containing a vote for a continuing candidate.


But any reasonable person, not knowing the details of IRV, would 
interpret the words to be a general majority, a majority of all the votes cast.


What was found was a majority of unexhausted ballots found to contain 
a vote for the IRV winner. Not a majority of ballots, which implies 
the general usage.


Further, these arguments are being made in a context where majority 
has a very clear meaning, IRV is replacing, usually, top two runoff. 
The primary *requires* a majority, a true majority, in order to 
complete. When you tell these people that they can obtain a majority 
without needing a runoff, they will very naturally assume that you 
are talking about the *same thing.* The voters go to the polls and 
cast their votes. Setting aside informal ballots, if more than half 
of these voters support the winner, a majority has been found. The 
details of the voting system are actually moot. Did a majority of the 
voters who voted support the winner -- regardless of preference order?


A true majority is considered very desirable. IRV and Bucklin were 
apparently replaced by top two runoff, at least in some places, and 
the probable reason is that a majority was desired, and it was 
realized that these methods don't accomplish that, unless you coerce 
voters, as was tried in Oklahoma. (As is done in Australia.)


However, a more sensible approach would have been to use preferential 
vote in the primary, thus avoiding *some* runoffs! I would argue that 
Bucklin is better, because it doesn't suffer so badly from Center 
Squeeze, and it probably provides sufficient LNH protection that 
voters won't be significantly more reluctant to add additional 
preferences than they are known to be with IRV. We saw very 
significant usage of additional rankings in the municipal elections 
where I've been able to find results.


As I've noted, those who support a frontrunner don't have much 
incentive, with either method, to add ranks. With IRV, we don't know 
from the standard reports, how much truncation is present among those 
who vote for the top two.


Further, it seems to make a huge difference if the elections are 
partisan or nonpartisan. In nonpartisan elections -- which is most of 
the IRV implementations so far in the U.S. -- IRV functions almost 
exactly like plurality, the first round winner goes on -- every 
example so far at least before Nov 2008, which I haven't examined -- 
to win the election. In most elections, a majority is found in the 
first round. Same as Plurality!


So, looking just at the runoffs, roughly nine of them, in no case was 
there a comeback election. In *real* runoffs, it seems to happen 
about a third of the time, that the runner-up goes on to win 

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Abd ul-Rahman Lomax

At 01:09 PM 1/2/2009, Jonathan Lundell wrote:


So sure, IRV elects majority winners in one particular operation
sense of the term. Even if there's a first-round absolute majority,
we're faced with the problem of agenda manipulation. To take another
US presidential election, in 1992 I might have voted

Clinton  Perot  Bush

but only because I didn't have a meaningful NOTA option.

In the immortal words of Jim Hightower, If the gods had meant us to
vote, they would have given us candidates.


Any election where write-in-votes are allowed has a NOTA option. 
Under Robert's Rules, there is no restriction as to what you can 
write in, though identifying yourself on the ballot might be an 
exception. You could literally write in None of the above, and it 
would count as part of the basis for majority, it wouldn't be a 
stupid vote, because if enough people vote that way, or for 
candidates other than the leader, the election fails and there is 
another opportunity for the gods to give us candidates.


(In preferential public elections, where only ballots with a vote for 
a legally allowed candidate count, you would simply use your ranks to 
vote for any candidate where you would not mind being part of the 
majority which elects the sucka.)


Preferential voting with a runoff trigger can be a much better method 
than without it.


With IRV, it seems, about one nonpartisan election in ten, very 
roughly, the method produces a winner who would lose in a direct 
face-off with either the runner-up or an eliminated candidate.






Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Jonathan Lundell

On Jan 2, 2009, at 12:31 PM, Abd ul-Rahman Lomax wrote:


At 01:09 PM 1/2/2009, Jonathan Lundell wrote:


So sure, IRV elects majority winners in one particular operation
sense of the term. Even if there's a first-round absolute majority,
we're faced with the problem of agenda manipulation. To take another
US presidential election, in 1992 I might have voted

   Clinton  Perot  Bush

but only because I didn't have a meaningful NOTA option.

In the immortal words of Jim Hightower, If the gods had meant us to
vote, they would have given us candidates.


Any election where write-in-votes are allowed has a NOTA option.  
Under Robert's Rules, there is no restriction as to what you can  
write in, though identifying yourself on the ballot might be an  
exception. You could literally write in None of the above, and it  
would count as part of the basis for majority, it wouldn't be a  
stupid vote, because if enough people vote that way, or for  
candidates other than the leader, the election fails and there is  
another opportunity for the gods to give us candidates.


(In preferential public elections, where only ballots with a vote  
for a legally allowed candidate count, you would simply use your  
ranks to vote for any candidate where you would not mind being part  
of the majority which elects the sucka.)


In the above example, I like the opportunity to rank candidates that I  
don't like, since I do have relative preferences. But if the winner's  
majority includes very many voters like me, in what sense does he have  
a majority? A majority of ballots in the final stage, yes. Majority  
political support? No.


FWIW, in California there's no way to write in NOTA and have it counted.

NOTA is also hard to count, since it's not quite like just another  
candidate. In my 1948 example, one voter might be voting for anybody  
but Dewey or Thurmond, and another for anybody but Wallace or  
Truman. That is, the above in NOTA differs from ballot to ballot.


NOTA is easier to interpret in a Condorcet method. It's very difficult  
for IRV to handle, I think, especially if counted as just-another- 
candidate, since it's not unlikely that NOTA would be eliminated  
early. Looked at another way, I don't think that the fact that IRV  
fails to find everybody's second choice is ordinarily a very serious  
problem. But it *is* a problem if that choice is NOTA.





Preferential voting with a runoff trigger can be a much better  
method than without it.


With IRV, it seems, about one nonpartisan election in ten, very  
roughly, the method produces a winner who would lose in a direct  
face-off with either the runner-up or an eliminated candidate.


I'd be interested in seeing documentation on this that didn't involve  
reinterpreting plurality or TTR results as an IRV election.



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Terry Bouricius
Abd,

I think you miss-understood James Gilmour's question. He was asking about 
an exhaustive ballot election without any ranked-choice ballots. In his 
scenario 100 voters vote in the first round and 92 vote in the second 
round. Does the final round winner with 47 votes win with a majority? 
Robert's Rules and governmental election statutes would describe this 
candidate as a majority winner I believe.

Terry Bouricius


- Original Message - 
From: Abd ul-Rahman Lomax a...@lomaxdesign.com
To: jgilm...@globalnet.co.uk; election-methods@lists.electorama.com
Sent: Friday, January 02, 2009 3:23 PM
Subject: Re: [EM] Does IRV elect majority winners?


At 06:34 AM 1/2/2009, James Gilmour wrote:
Dave Ketchum   Sent: Friday, January 02, 2009 6:07 AM
  Terry and Abd look set to duel forever.
 
  Conduct of elections is a serious topic, but both of them
  offer too many words without usefully covering the topic.

So let's try a small number of numbers.

At a meeting we need to elect one office-bearer (single-office,
single-winner).  There are four candidates and we decide to use the
exhaustive ballot (bottom elimination, one at a time) with the
requirement that to win, a candidate must obtain a majority of the
votes.

First round votes:  A 40;   B  25;  C 20;  D 15.
No candidate has a majority, so we eliminate D.

Second round votes: A 47;  B 25;  C 20.
It seems that some of those present who voted for D in the first
round did not want to vote in the second round  -  but that is
their privilege.

QUESTION: did candidate A win at the second round with 'a majority
of the votes'?

James Gilmour

How many people voted in the election? Looks to me like 100. Could be
more, actually; Robert's Rules considers all non-blank ballots that
might possibly intend a vote, including overvotes. But let's stick with 
100.

How many people voted for A? We don't know, actually! IRV doesn't
count all the votes. However, what the method has found is 47. We
know that 47 voters voted for A.

Are the ballots with a single vote for D on them votes? Surely
those voters think they voted. Their ballots were recognized as legal.

The FairVote propaganda sometimes talks about majority without any
qualification at all as to what it refers to; they are depending on
voters imagining they know what it means, they know that this
imagination will lead them to support IRV. Sometimes, however, we
see, majority of the votes. Or, in what is even more of a stretch,
the winner will still be required to win a majority of the votes. A
requirement implies a standard that can fail. The IRV method can't
fail to find a last round majority, it's simple math -- if we except 
ties.

But in Santa Clara, the arguments went further. Majority of the
ballots was used. Once again, one could weasel out of the claim of
deception. Why, we just meant, of course, majority of the ballots
containing a vote for a continuing candidate.

But any reasonable person, not knowing the details of IRV, would
interpret the words to be a general majority, a majority of all the votes 
cast.

What was found was a majority of unexhausted ballots found to contain
a vote for the IRV winner. Not a majority of ballots, which implies
the general usage.

Further, these arguments are being made in a context where majority
has a very clear meaning, IRV is replacing, usually, top two runoff.
The primary *requires* a majority, a true majority, in order to
complete. When you tell these people that they can obtain a majority
without needing a runoff, they will very naturally assume that you
are talking about the *same thing.* The voters go to the polls and
cast their votes. Setting aside informal ballots, if more than half
of these voters support the winner, a majority has been found. The
details of the voting system are actually moot. Did a majority of the
voters who voted support the winner -- regardless of preference order?

A true majority is considered very desirable. IRV and Bucklin were
apparently replaced by top two runoff, at least in some places, and
the probable reason is that a majority was desired, and it was
realized that these methods don't accomplish that, unless you coerce
voters, as was tried in Oklahoma. (As is done in Australia.)

However, a more sensible approach would have been to use preferential
vote in the primary, thus avoiding *some* runoffs! I would argue that
Bucklin is better, because it doesn't suffer so badly from Center
Squeeze, and it probably provides sufficient LNH protection that
voters won't be significantly more reluctant to add additional
preferences than they are known to be with IRV. We saw very
significant usage of additional rankings in the municipal elections
where I've been able to find results.

As I've noted, those who support a frontrunner don't have much
incentive, with either method, to add ranks. With IRV, we don't know
from the standard reports, how much truncation is present among those
who vote for the top two.

Further, it seems to make

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Abd ul-Rahman Lomax

At 01:23 PM 1/2/2009, Terry Bouricius wrote:

Dave makes a good point, that I may have emulated Abd in verbosity in
making my point. Here it is in a nutshell:

Since the two-round runoff election system widely used in the U.S. that
involves counting votes in two rounds is said to always elect a majority
winner, meaning a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff, then by the identical logic, an IRV winner is also a majority
winner who ALSO has a majority of votes from those voters who chose to
express a preference between the two candidates who made it into the final
runoff.


In other words, if we don't consider the runoff election to be a 
single election, if we neglect that this election can and does result 
in plurality winners (Long Beach, CA, recently), then a narrow claim, 
possibly misleading, made about this situation can be applied by 
analogy. However, Robert's Rules of Order specifically rejects this, 
and notes that the STV method deprives the voters of the 
opportunity to base their votes in the next election on the results 
of the previous one.


What Bouricius is doing is to create an elaborate analogy; under this 
analogy, the use of the word majority is then, presumably, 
justified. However, the argument about majority is being used in a 
context where the word has a very clear meaning. It means more than 
half of the legal votes cast, i.e., the legal ballots contain a vote 
for the winner, never mind what rank -- as long as it isn't bottom, 
which is usually unexpressed.


Now, if I were selling you something, and I were accused of consumer 
fraud in the sale, and I claimed an analogy like this, it would not 
be accepted as a defense, because the word, in context, had a 
specific and clear meaning, and that meaning was the foundation of 
the desirability of runoff voting. Voters want that rule.


Runoff voting *seeks* a majority, and some forms guarantee it, in the 
second round, by considering all other votes to be illegal. However, 
in the runoff, voters make the specific decision to vote in that 
election or not. In the runoff, an abstention is specific and clear. 
Further, the electorate in a runoff is a different electorate, it is 
not the same voters. The primary merely controlled the nomination process.


Come FairVote with a promise that a majority can be obtained 
without a runoff! And, in fact, one who doesn't realize the 
implications of truncation, nor who realizes how *common* it is, will 
think, why, of course it will do this! A true majority. However, the 
reality is that IRV doesn't do this, in practice. Most elections 
where a majority is not found in the primary, there is no majority 
found with the vote transfers -- in nonpartisan elections.


The analogy is interesting, but it isn't what the voters were told! 
Words were used that would reasonably be expected to lead them in a 
certain direction, and the analogy is the typical deniability 
asserted by spin doctors when they get caught.


I didn't have sex with that woman. (Uh, what I did isn't 
considered, by some people, to be sex.) Did that argument stand? It 
was actually stronger for him than the argument is here, he was under 
considerable pressure, and, as a lawyer himself, may not have had an 
obligation to parse the words more carefully, it would have been the 
obligation of the examining attorney to make sure meanings were 
clear. But I think he was found to have perjured himself.


I'm claiming that, coming from FairVote, the deception was 
*intentional*. That there is an alternate interpretation -- a 
far-fetched one -- doesn't change that. The alternate interpreation 
is not what was communicated by the words, and I know this to be the 
case by the degree of resistance FairVote activists, including Mr. 
Bouricius, exerted against clarification.



 Both methods define a majority by excluding from the basis for
calculating the majority threshold all of the voters who may have voted
for a candidate in the first round but abstain (do not indicate any
preference) in the final round. In sum...If two round runoffs result in
majority winners so does IRV.


This argument, of course, depends on, among other things, the ability 
to fully rank the candidates, which wasn't even present in nearly all 
these implementations. The voters may not have been able to sincerely 
rank candidates *and* vote in that last round.


But the runoff election in TTR is actually a separate election, 
merely with a special nomination rule. That's why the first round is 
called a primary. There are various such primary methods.


We don't compare the votes in the primary with those in the runoff 
because they may be a quite different set of voters. Bouricius knows 
that whenever a motion fails, or an election fails, in deliberative 
process, the vote becomes moot and of no further effect. But, 
desiring to avoid a long series of election 

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Paul Kislanko
I don't believe RRs or practical implementations thereof define percentages
this way.

For instance, the US Senate rules call for 60 votes, not 60% of the Senators
who vote, in their rules. Likewise by leaving the state, for a time Texas
Democrats delayed the (ridiculous) re-districting plan the Republicans
eventually got passed anyway by just reducing the numerator for a fixed
denominator.

Legislatures who follow RRoO pretty much define majority by majority of
eligible voters. If we want to depend upon majority-criteria we need to
pick whether we mean majority of voters or majority of eligible voters. If
we chose the latter definition then NO method can make such a claim, unless
it has a specific method for dealing with non-voters.

If we chose the majority of voters approach, then Bucklin is an efficient
way to find all majorities that support any alternative. IRV is problematic,
because the method changes the definition of voters in each round. I'm not
sure IRV is unconstitutional, but it is repugnant.

-Original Message-
From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Terry
Bouricius
Sent: Friday, January 02, 2009 2:54 PM
To: jgilm...@globalnet.co.uk; election-methods@lists.electorama.com; Abd
ul-Rahman Lomax
Subject: Re: [EM] Does IRV elect majority winners?

Abd,

I think you miss-understood James Gilmour's question. He was asking about 
an exhaustive ballot election without any ranked-choice ballots. In his 
scenario 100 voters vote in the first round and 92 vote in the second 
round. Does the final round winner with 47 votes win with a majority? 
Robert's Rules and governmental election statutes would describe this 
candidate as a majority winner I believe.

Terry Bouricius


- Original Message - 
From: Abd ul-Rahman Lomax a...@lomaxdesign.com
To: jgilm...@globalnet.co.uk; election-methods@lists.electorama.com
Sent: Friday, January 02, 2009 3:23 PM
Subject: Re: [EM] Does IRV elect majority winners?


At 06:34 AM 1/2/2009, James Gilmour wrote:
Dave Ketchum   Sent: Friday, January 02, 2009 6:07 AM
  Terry and Abd look set to duel forever.
 
  Conduct of elections is a serious topic, but both of them
  offer too many words without usefully covering the topic.

So let's try a small number of numbers.

At a meeting we need to elect one office-bearer (single-office,
single-winner).  There are four candidates and we decide to use the
exhaustive ballot (bottom elimination, one at a time) with the
requirement that to win, a candidate must obtain a majority of the
votes.

First round votes:  A 40;   B  25;  C 20;  D 15.
No candidate has a majority, so we eliminate D.

Second round votes: A 47;  B 25;  C 20.
It seems that some of those present who voted for D in the first
round did not want to vote in the second round  -  but that is
their privilege.

QUESTION: did candidate A win at the second round with 'a majority
of the votes'?

James Gilmour

How many people voted in the election? Looks to me like 100. Could be
more, actually; Robert's Rules considers all non-blank ballots that
might possibly intend a vote, including overvotes. But let's stick with 
100.

How many people voted for A? We don't know, actually! IRV doesn't
count all the votes. However, what the method has found is 47. We
know that 47 voters voted for A.

Are the ballots with a single vote for D on them votes? Surely
those voters think they voted. Their ballots were recognized as legal.

The FairVote propaganda sometimes talks about majority without any
qualification at all as to what it refers to; they are depending on
voters imagining they know what it means, they know that this
imagination will lead them to support IRV. Sometimes, however, we
see, majority of the votes. Or, in what is even more of a stretch,
the winner will still be required to win a majority of the votes. A
requirement implies a standard that can fail. The IRV method can't
fail to find a last round majority, it's simple math -- if we except 
ties.

But in Santa Clara, the arguments went further. Majority of the
ballots was used. Once again, one could weasel out of the claim of
deception. Why, we just meant, of course, majority of the ballots
containing a vote for a continuing candidate.

But any reasonable person, not knowing the details of IRV, would
interpret the words to be a general majority, a majority of all the votes 
cast.

What was found was a majority of unexhausted ballots found to contain
a vote for the IRV winner. Not a majority of ballots, which implies
the general usage.

Further, these arguments are being made in a context where majority
has a very clear meaning, IRV is replacing, usually, top two runoff.
The primary *requires* a majority, a true majority, in order to
complete. When you tell these people that they can obtain a majority
without needing a runoff, they will very naturally assume that you
are talking about the *same thing.* The voters go to the polls

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Abd ul-Rahman Lomax

At 02:51 PM 1/2/2009, Paul Kislanko wrote:

I think the cited text provides an important distinction we need to use on
EM.

In theory, we want to discuss election methods based upon how they collect
and count ballots, which is analytic in some sense. As soon as you
introduce real candidates and party politics (i.e. strategies) we get a
real mess that is not so easily analyzed.


Yes. The biggest thing we neglected, going way back, was preference 
strength. In real decision-making, it is crucial, but theorists 
didn't like it, it was messy. It was imagined that preference was 
nice and neat. Though it isn't!



This is relevant to the how do you define majority? question because if
the denominator doesn't include all of the non-voters who dis-approve of
EVERY alternative it's not a majority of stakeholders and in some sense
you need to count the non-voters, especially if the method discards ballots
in its counting rounds.


Sure. It's pretty simple, though: Majority of the votes refers to 
more than half of those who voted. We could analyze an election like 
the mess in California a few years back by referring to a majority 
of votes from those who voted for a Democrat, or a Republican, or such.


A major point is that most people, asked, want to see majority 
winners. Turns out that, where I have looked, U.S. state 
constitutions required a majority of votes to win, then resorted to 
various devices when a majority wasn't found. We see that with the 
electoral college: if no majority is found, the election goes to the 
House. In New Hampshire, the state House could choose between the top 
two, if I'm correct.


So, people want to see majority winners. Telling them that they will 
get a majority winner from a method means to them that more than half 
of those who voted will have voted, in some way, for the winner. It 
*looks* to a casual observer that IRV will do that. I should have 
known better, but I was actually astonished to see the high 
percentage of majjority failure. It is the bulk of elections that 
didn't find a majority in the first round, with nonpartisan 
elections, and with some partisan ones.


Majority is independent of the voting method, though the data must 
be collected to distinguish between support of a candidate and 
merely, with a full-ranking required system, saying that the 
candidate is better than the absolute worst.


Elections aren't merely picking some ideal best winner in a bad 
situation, they are seeking, if a majority is sought, one who will be 
accepted, *at least*, by most voters.



So, just from a logical perspective a claim to always select a
majority-approved winner must define majority in terms of Eligible
Voters.


That's absolute majority, and it isn't what we've been talking 
about, except that I have, as part of this discussion, noted the 
effect of preference strength on turnout. Those voters who don't care 
about the available choices don't bother showing up (for better or 
for worse). This exerts a range-like effect on the election, shifting 
results toward those who care. In other words, methods which make 
voting trivially easy might actually worsen results, unless it's a 
Range method, because the factors that make ranked methods, and 
especially Plurality, work reasonably well might be taken away.



 Or at least define majority in terms of voters in the first
round. So, an IRV winner with 47 votes out of 100 originally cast is NOT a
majority-winner.


This is the meaning I've been using, and it is the meaning of 
Robert's Rules, except that they would include a few more ballots 
(informal ballots with no recognizable vote by the rules, but still 
considered to be a vote.)


For public elections, yes, it's the first-round vote.


Bucklin is a method that identifies the rank for which a Majority agrees the
alternative should be ranked at least that highly. No information is
discarded in the counting process, and no ballots are ignored just because
the ballots' #1 isn't a plurality winner.


That's right. All votes become equal if it goes to the last round. As 
implemented, it was a plurality method like IRV, but, because all the 
votes are counted, and especially where it's a nonpartisan election, 
there may be votes hidden under the other frontrunner(s), so there 
might actually be a real majority, but it's not reported as moot, 
because the method isn't looking for an overall majority, it's only 
looking for a last round majority.


Hence, in one San Francisco election, where it was touted that the 
winner will still be required to gain a majority, one Supervisorial 
position was won with less than 40% of the vote.


Most elections where there are runoffs don't find a majority, but 
several have, it happens with elections where the first round result 
is close to a majority. In one election, the reported vote was shy of 
a majority, but it would be a practical certainty that if counting 
had continued, the winner would have had a majority.



If we 

Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Abd ul-Rahman Lomax

At 03:53 PM 1/2/2009, Jonathan Lundell wrote:

FWIW, in California there's no way to write in NOTA and have it counted.


Depends on the election and perhaps on local rules. Pick the absolute 
best candidate *including write-ins and, if necessary, write that 
name in. A write-in is None of the above. In some elections, true 
write-in votes are not allowed, but the California constitution 
requires that write-ins be allowed; however minimal registration 
requirements have been considered acceptable. So San Francisco only 
recognizes registered write-ins. They aren't on the ballot, so voting 
for one of them would be voting for none of the above.



NOTA is also hard to count, since it's not quite like just another
candidate. In my 1948 example, one voter might be voting for anybody
but Dewey or Thurmond, and another for anybody but Wallace or
Truman. That is, the above in NOTA differs from ballot to ballot.


Actually, in a sane system, requiring a majority, NOTA causes the 
exact intended effect. None of the Above are elected. If most voters 
vote NOTA, either directly -- were it allowed -- or indirectly, for 
various write-in candidates, then the election fails. And the rules 
presumably prescribe what happens next.



NOTA is easier to interpret in a Condorcet method. It's very difficult
for IRV to handle, I think, especially if counted as just-another- 
candidate, since it's not unlikely that NOTA would be eliminated

early. Looked at another way, I don't think that the fact that IRV
fails to find everybody's second choice is ordinarily a very serious
problem. But it *is* a problem if that choice is NOTA.


It's a problem in both cases. But that's enough for now. NOTA should 
cause election failure, and all that has to occur is that a majority 
be required for a candidate to win. Under standard democratic 
process, talking Robert's Rules as a model, writing NOTA on a ballot 
has exactly the desired effect. It contributes to the basis for 
election, but not to the victory of any candidate.


But don't imagine that we have the rules we do in public elections 
because of pure democratic considerations!



Preferential voting with a runoff trigger can be a much better
method than without it.

With IRV, it seems, about one nonpartisan election in ten, very
roughly, the method produces a winner who would lose in a direct
face-off with either the runner-up or an eliminated candidate.


I'd be interested in seeing documentation on this that didn't involve
reinterpreting plurality or TTR results as an IRV election.


It's the other way. TTR results in runoffs, sometimes. When there are 
many candidates, often. A certain percentage of these runoffs are 
comebacks. It's roughly one-third.


We can assume that first preference votes in IRV are *roughly* how 
people will vote in a runoff primary. Now, in the IRV elections -- 
look at em! there is an article on the implementations in the U.S. on 
Wikipedia -- there are *no* comeback elections in recent history. 
About nine runoffs, as I recall. No comebacks.


Isn't this interesting?

Think about it. It does make sense. We just didn't know how to look at it.




Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Jonathan Lundell

On Jan 2, 2009, at 2:26 PM, Abd ul-Rahman Lomax wrote:

Elections aren't merely picking some ideal best winner in a bad  
situation, they are seeking, if a majority is sought, one who will  
be accepted, *at least*, by most voters.


That may well be a desideratum, but it's not the case in real  
elections. I've certainly contributed (or tried to contribute) to  
majorities by voting for a less-unacceptable candidate. It's rational,  
but it doesn't constitute acceptance except in some weak sense,  
perhaps acquiescence. 


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread James Gilmour
Who would have thought such a simple example and such a direct question could 
provoke so much obfuscation and prevarication.
References to IRV, FairVote and Santa Clara are all completely irrelevant.

So let's try again, with little bit of additional information that was (more or 
less) implied first time.

At a meeting we need to elect one office-bearer (single-office, single-winner). 
 There are four candidates and we decide to use the
exhaustive ballot (bottom elimination, one at a time) with the requirement that 
to win, a candidate must obtain a majority of the
votes.  East person is allowed to vote for only one candidate in each round of 
the exhaustive ballot and the votes for each
candidate are to be indicated by show of hands.

First round votes:  A 40;   B  25;  C 20;  D 15.  
No candidate has a majority, so we eliminate D.

Second round votes: A 47;  B 25;  C 20.
It seems that some of those present who voted for D in the first round did not 
want to vote in the second round  -  but that is
their privilege.

QUESTION: did candidate A win at the second round with 'a majority of the 
votes'?

If you want you can rephrase the definition: Win with a majority of the 
votes;  Obtain a majority of the votes; Win a majority
of the votes.  IF these differences in wording have real differences in 
meaning, it would be helpful to explain the differences and
then to answer the question in relation to each of the different meanings.



Paul said 'Legislatures who follow RRoO pretty much define majority by 
majority of eligible voters. '  I am not going to argue
about RRoO, but that definition is VERY different from the election scenario 
above.  I have never heard such a definition used in a
meeting for an ELECTION.  The language I have heard would be something much 
more like a majority of the votes.  Which takes us
back to my request for answers to the direct question above.

The wording majority of eligible voters would appear to include those 
eligible voters who were not actually present at the
meeting.  That could be a much higher threshold.  I personally have never known 
such a threshold set in an election, but it does (or
did) happen in public elections in Russia where the seat was left vacant and 
the local community unrepresented unless some minimum
proportion (50% ??) of the registered electorate actually voted.  I have, 
however, experienced a similar threshold in a public
referendum in Scotland  -  that was set at 40% of the electorate.

While such thresholds do not feature in election instructions in the UK, 
neither public nor private, something comparable is common
in many organisations' constitutions to regulate voting on resolutions to amend 
the constitution itself.  I have encountered three
forms (given that is only a yes or no vote on each amendment): 1. a 
majority of the members;  2. two-thirds of those
present;  3. two-thirds of those present and voting.  These three thresholds 
are all very different, but in my experience, they
are not applied to ELECTIONS.

James


.


Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2009-01-02 Thread Paul Kislanko
In real elections the problem is that the Powers That Be chose to not
allow me to vote at all, despite the fact I'm a registered voter. So
whatever method you propose or support I consider irrelevant, until you sort
out the problems on the collection side. 

-Original Message-
From: election-methods-boun...@lists.electorama.com
[mailto:election-methods-boun...@lists.electorama.com] On Behalf Of Jonathan
Lundell
Sent: Friday, January 02, 2009 4:41 PM
To: Abd ul-Rahman Lomax
Cc: Paul Kislanko; 'Markus Schulze'; election-meth...@electorama.com
Subject: Re: [EM] Does IRV elect majority winners?

On Jan 2, 2009, at 2:26 PM, Abd ul-Rahman Lomax wrote:

 Elections aren't merely picking some ideal best winner in a bad  
 situation, they are seeking, if a majority is sought, one who will  
 be accepted, *at least*, by most voters.

That may well be a desideratum, but it's not the case in real  
elections. I've certainly contributed (or tried to contribute) to  
majorities by voting for a less-unacceptable candidate. It's rational,  
but it doesn't constitute acceptance except in some weak sense,  
perhaps acquiescence. 

Election-Methods mailing list - see http://electorama.com/em for list info



Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Does IRV elect majority winners?

2008-12-31 Thread Markus Schulze
Hallo,

usually, the term majority winner refers to
a candidate who is strictly preferred to every
other candidate by a majority of the voters.

However, IRV supporters usually use the term
majority winner for a candidate A who can
win a majority (or at least half of the votes)
in a runoff between candidate A and some other
candidates.

Question: Who can win a majority (or at least
half of the votes) in a runoff between himself
and some other candidates? Answer: Everybody
but a Condorcet loser.

So when IRV supporters say that IRV always
elects a majority winner then this is
EXACTLY the same as saying that IRV never
elects a Condorcet loser.

Question: So why don't IRV supporters just
say that IRV never elects a Condorcet loser?
Answer: IRV supporters don't want IRV to
be judged by its properties but by its own
underlying heuristic. We all know that every
election method is the best possible election
method when judged by its own underlying
heuristic. If IRV supporters just said that
IRV never elects a Condorcet loser, then
this argument could also be used by the
supporters of other election methods that
satisfy the Condorcet loser criterion.

Markus Schulze



Election-Methods mailing list - see http://electorama.com/em for list info