Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread Markus Schulze
Hallo,

Terry Bouricius wrote (22 Dec 2008):

> In a crowded field, a weak CW may be a
> little-considered candidate that every
> voter ranks next to last.

Markus Schulze wrote (23 Dec 2008):

> As the Borda score of a CW is always
> above the average Borda score, it is
> not possible that the CW is a
> "little-considered candidate that
> every voter ranks next to last".

Juho Laatu wrote (23 Dec 2008):

> Except that there could be only two
> candidates. But maybe the CW wouldn't
> be "little-considered" then.

Even when there are only two candidates,
the Borda score of the CW is always
above average.

Markus Schulze



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[EM] "CDTT criterion" compliance desirable?

2008-12-23 Thread Chris Benham
Marcus,
In one of your recent papers and on the Schulze method Wikipedia
page you list  "Woodall's  CDTT criterion" as one of the criteria 
satisfied by the Schulze (Winning Votes) method.

What, in your opinion, is supposed to be the positive point of compliance
with that criterion? In other words, how would Schulze(WV) be worse
if it satisfied all the criteria presently on your list of satisfied criteria 
except that one?

Chris Benham

PS: For those who might not know, the "CDTT criterion" presumably
says that the winner must come from the CDTT set, explained below
by Kevin Venzke.

http://nodesiege.tripod.com/elections/#methcdtt


The CDTT is a set of candidates defined by Woodall to include every 
candidate A such that, for any other candidate B, if B has a majority-strength 
beatpath to A, then A also has a majority-strength beatpath back to B. 
(See Schulze for a definition of a beatpath.) Another definition (actually, the 
one Woodall chooses to use) of the CDTT is that it is the union of all minimal 
sets such that no candidate in each set has a majority-strength loss to any 
candidate outside this set. (Candidate A has a "majority-strength loss" to 
candidate B if v[b,a] is greater than 50% of the number of cast votes.)

Markus Schulze proposed this set earlier, in 1997. His wording was to take the 
Schwartz set resulting from replacing with pairwise ties, all pairwise wins 
with 
under a majority of the votes on the winning side.


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Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread James Gilmour
Dave Ketchum   > Sent: Tuesday, December 23, 2008 12:23 AM
> Disturbing that you would consider clear wins by a majority to be 
> objectionable.

Dave, I never said that I would find that result objectionable.  What I did say 
was that I thought such a result would be
POLITICALLY unacceptable to the ELECTORS   -  certainly in the UK, and perhaps 
also in the USA as there are SOME similarities in the
political culture.  It goes almost without saying that such a result would be 
politically unacceptable to the two main parties I had
in mind.

Political acceptability is extremely important if you want to achieve practical 
reform of the voting system.  The Electoral Reform
Society has been campaigning for such reform for more that 100 years (since 
1884), but it has still not achieved it main objective
-  to reform the FPTP voting system used to elected MPs to the UK House of 
Commons.  The obstacles to that reform are not to do with
theoretical or technical aspects of the voting systems  -  they are simply 
political.  It was for political reasons that the Hansard
Society's Commission on Electoral Reform came up with its dreadful version of 
MMP in 1976 and for political reasons that the Jenkins
Commission proposed the equally dreadful AV+ in 1998.  Jenkins' AV+ was a 
(slight) move towards PR, but it was deliberately designed
so that the two main parties would be over-represented in relation to their 
shares of the votes and that one or other of two main
parties would have a manufactured majority of the seats so that it could form a 
single-party majority government even though it had
only a minority of the votes.

It is sometimes possible to marginalise the politicians and the political 
parties in a campaign if you can mobilise enough of the
ordinary electors to express a view, but our experience in the UK is that 
constitutional reform and reform of the voting system are
very rarely issues on which ordinary electors will "take up arms" 
(metaphorically, of course).


> In Election 2 Condorcet awarded the win to M.  Who has any 
> business objecting?
>   52 of 100 prefer M over D
>   53 of 100 prefer M over R
>   Neither R nor D got a majority of the votes.

Leaving aside the debate about the meaning of "majority", it is clear to me 
that M is the Condorcet winner  -  no question.  But, as
explained above, it is MY view that such an outcome would not be acceptable to 
our electors.  I base my view of UK electors' likely
reaction on nearly five decades of campaigning for practical reform of the 
voting systems we use in our public elections.


> As to my  "no first preferences" example, surest way to cause 
> such is to be unable to respond to them.

I'm not sure what this statement is really mean to say..

I understand that a Condorcet winner could, indeed, have no first preferences 
at all.  But in political terms, such a possibility is
not just unacceptable, it's a complete non-starter.

James

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Re: [EM] "CDTT criterion" compliance desirable?

2008-12-23 Thread Markus Schulze
Dear Chris Benham,

you wrote (23 Dec 2008):

> In one of your recent papers and on the Schulze
> method Wikipedia page you list "Woodall's CDTT
> criterion" as one of the criteria satisfied by
> the Schulze (Winning Votes) method.
>
> What, in your opinion, is supposed to be the
> positive point of compliance with that criterion?
> In other words, how would Schulze(WV) be worse
> if it satisfied all the criteria presently on
> your list of satisfied criteria except that one?

Woodall's CDTT criterion can be rephrased as
follows:

   When (1) the partial individual rankings can be
   completed in such a manner that candidate A is
   a Schwartz candidate and candidate B is not a
   Schwartz candidate and (2) the partial individual
   rankings cannot be completed in such a manner
   that candidate B is a Schwartz candidate and
   candidate A is not a Schwartz candidate, then
   candidate B must not be elected.

This guarantees that not needlessly a candidate is
elected who would not have been a Schwartz candidate
when not some voters had cast only a partial ranking
because of strategic considerations or other reasons.

When Woodall's CDTT criterion is violated, then this
means that casting partial individual rankings could
needlessly lead to the election of a candidate B who
is not a Schwartz candidate; "needlessly" because
Woodall's CDTT criterion is compatible with the
Smith criterion, independence of clones, monotonicity,
reversal symmetry, Pareto, resolvability, etc..



I had already proposed this criterion in 1997.
See e.g.:

http://lists.electorama.com/pipermail/election-methods-electorama.com/1997-October/001569.html

In that mail, this criterion is formulated as
follows:

> "X >> Y" means, that a majority of the voters
> prefers X to Y.
>
> "There is a majority beat-path from X to Y,"
> means, that X >> Y or there is a set of candidates
> C[1], ..., C[n] with X >> C[1] >> ... >> C[n] >> Y.
>
> A method meets the "Generalized Majority Criterion"
> (GMC) if and only if: If there is a majority
> beat-path from A to B, but no majority beat-path
> from B to A, then B must not be elected.

The motivation for this criterion was that I wanted
to find a truncation resistance criterion

(a) that is compatible with the Smith criterion and
with independence of clones and that is otherwise
as strong as possible and

(b) that is defined on the cast preferences and
not on the sincere preferences.

Markus Schulze



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Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread Dave Ketchum

On Tue, 23 Dec 2008 13:02:09 - James Gilmour wrote:

Dave Ketchum   > Sent: Tuesday, December 23, 2008 12:23 AM

Disturbing that you would consider clear wins by a majority to be 
objectionable.



Ok, I did not say it clearly.

Obvious need is to package arguments such that they are salable.

Take the one about a Condorcet winner with no first preferences.  Ugly 
thought, but how do you get there?  Perhaps with three incompatible 
positions that share equally all the first preferences, while a neutral 
candidate gets all the second preferences.


Assume it will never happen, so do not provide for such?  As I suggested 
before, somehow, if you assume such fate will, somehow, prove you wrong.


Provide a fence, forbidding getting too close to such?  Where do you put 
the fence without doing more harm than good?


Leave it legal, while assuring electors they should not worry about it ever 
occurring?  I see this as proper - it is unlikely, yet not a true disaster 
if it does manage to occur.


The primary battle between Clinton and Obama here presents a strong 
argument for getting rid of Plurality elections - better for them both to 
go to the general election fighting against their shared foe, McCain. 
Actually, the Electoral College complicates this discussion for 
presidential elections but it does apply to others.


DWK


Dave, I never said that I would find that result objectionable.  What I did say 
was that I thought such a result would be
POLITICALLY unacceptable to the ELECTORS   -  certainly in the UK, and perhaps 
also in the USA as there are SOME similarities in the
political culture.  It goes almost without saying that such a result would be 
politically unacceptable to the two main parties I had
in mind.

Political acceptability is extremely important if you want to achieve practical 
reform of the voting system.  The Electoral Reform
Society has been campaigning for such reform for more that 100 years (since 
1884), but it has still not achieved it main objective
-  to reform the FPTP voting system used to elected MPs to the UK House of 
Commons.  The obstacles to that reform are not to do with
theoretical or technical aspects of the voting systems  -  they are simply 
political.  It was for political reasons that the Hansard
Society's Commission on Electoral Reform came up with its dreadful version of 
MMP in 1976 and for political reasons that the Jenkins
Commission proposed the equally dreadful AV+ in 1998.  Jenkins' AV+ was a 
(slight) move towards PR, but it was deliberately designed
so that the two main parties would be over-represented in relation to their 
shares of the votes and that one or other of two main
parties would have a manufactured majority of the seats so that it could form a 
single-party majority government even though it had
only a minority of the votes.

It is sometimes possible to marginalise the politicians and the political 
parties in a campaign if you can mobilise enough of the
ordinary electors to express a view, but our experience in the UK is that 
constitutional reform and reform of the voting system are
very rarely issues on which ordinary electors will "take up arms" 
(metaphorically, of course).



In Election 2 Condorcet awarded the win to M.  Who has any 
business objecting?

 52 of 100 prefer M over D
 53 of 100 prefer M over R
 Neither R nor D got a majority of the votes.



Leaving aside the debate about the meaning of "majority", it is clear to me 
that M is the Condorcet winner  -  no question.  But, as
explained above, it is MY view that such an outcome would not be acceptable to 
our electors.  I base my view of UK electors' likely
reaction on nearly five decades of campaigning for practical reform of the 
voting systems we use in our public elections.



As to my  "no first preferences" example, surest way to cause 
such is to be unable to respond to them.



I'm not sure what this statement is really mean to say..

I understand that a Condorcet winner could, indeed, have no first preferences 
at all.  But in political terms, such a possibility is
not just unacceptable, it's a complete non-starter.

James

--
 da...@clarityconnect.compeople.clarityconnect.com/webpages3/davek
 Dave Ketchum   108 Halstead Ave, Owego, NY  13827-1708   607-687-5026
   Do to no one what you would not want done to you.
 If you want peace, work for justice.




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Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread James Gilmour
Dave Ketchum  > Sent: Tuesday, December 23, 2008 9:54 PM
> Ok, I did not say it clearly.
> 
> Obvious need is to package arguments such that they are salable.
> 
> Take the one about a Condorcet winner with no first preferences.  Ugly 
> thought, but how do you get there?  Perhaps with three incompatible 
> positions that share equally all the first preferences, while a neutral 
> candidate gets all the second preferences.
> 
> Assume it will never happen, so do not provide for such?  As I suggested 
> before, somehow, if you assume such fate will, somehow, prove you wrong.
> 
> Provide a fence, forbidding getting too close to such?  Where do you put 
> the fence without doing more harm than good?
> 
> Leave it legal, while assuring electors they should not worry about it ever 
> occurring?  I see this as proper - it is unlikely, yet not a true disaster 
> if it does manage to occur.

Interesting points, but I don't think any of them address the problem I 
identified.  It is no answer at all to say "Obvious need is
to package arguments such that they are saleable.".  The ordinary electors will 
just not buy it when a weak Condorcet winner is a
real likely outcome.

I do not think you have to be anywhere near the zero first-preferences 
Condorcet winner scenario to be in the sphere of "politically
unacceptable".  I am quite certain that the 5% FP CW would also be politically 
unacceptable, and that there would political chaos in
the government in consequence.  The forces opposed to real reform of the voting 
system (big party politicians, big money, media
moguls, to name a few) would ensure that there was chaos, and the electors 
would have an intuitive reaction against a weak Condorcet
winner so they would go along with the demands to go back to "the good old 
ways".

I said in an earlier post that I thought a strong third-placed Condorcet winner 
could be politically acceptable, and thus the voting
system could be saleable if that was always the only likely outcome.   So I 
have been asked before where I thought the tipping point
might be, between acceptable and unacceptable.  I don't know the answer to that 
question because no work has been done on that  -
certainly not in the UK where Condorcet is not on the voting reform agenda at 
all.  In some ways the answer is irrelevant because
the Condorcet voting system will never get off the ground so long as a 5% FP 
Condorcet winner is a realistic scenario, as it is when
the current (pre-reform) political system is so dominated by two big political 
parties.


> The primary battle between Clinton and Obama here presents a strong 
> argument for getting rid of Plurality elections - better for them both to 
> go to the general election fighting against their shared foe, McCain. 

This represents a VERY idealistic view of politics  -  at least, it would be so 
far as the UK is concerned.  NO major party is going
into any single-office single-winner election with more than one party 
candidate, no matter what the voting system.  Having more
than one candidate causes problems for the party and it certainly causes 
problems for the voters.  And there is another important
intuitive reaction on the part of the electors  -  they don't like parties that 
appear to be divided.  They like the party to sort
all that internally and to present one candidate with a common front in the 
public election for the office.  But maybe my views are
somewhat coloured by my lack of enthusiasm for public primary elections.


> Actually, the Electoral College complicates this discussion for 
> presidential elections but it does apply to others.

Yes, the Electoral College is a "complication" in any discussion about choosing 
a voting system for the possible direct election of
the US President.  As a practical reformer, that's one I would leave severely 
alone until every city mayor and every state governor
and every other single-office holder in the USA was elected by an appropriate 
voting system instead of FPTP.  But then I don't have
a vote in any of those elections!

James
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[EM] MELLS (min expected lack of log satisfaction)

2008-12-23 Thread fsimmons
I would like to give an introduction to MELLS (min expected lack of log
satisfaction) that explains what kind of "satisfaction" is referred to in its 
name.

The ballots are cardinal ratings on a range of zero to one hundred percent.

The method assigns each ballot to a candidate in such a way as to minimize a
certain quantity that we choose to call the "expected lack of log satisfaction,"
and then elects the candidate to whom a randomly drawn ballot was assigned.  

For ease of discourse, let's say that the ballot "votes for" the candidate to
whom it is assigned.

The "satisfaction" we have in mind has two factors: the first factor is the
percentage of ballots that voted for the winning candidate.  The second factor
is the geometric mean of the ratings of that candidate on the ballots that voted
for it.

In other words, this kind of satisfaction is jointly proportional to the number
of ballots that ended up voting for the winner and the geometric mean of the
winner's ratings on those ballots.

When we take the log, we get log satisfaction.  The max possible value of this
quantity is zero, which is attained when one hundred percent of the ballots rate
the winner at one hundred percent.

So if we want to deal with positive values, we change the sign to get lack of
log satisfaction.

Then minimizing expected lack of log satisfaction is equivalent to maximizing
expected log satisfaction, but yields a positive optimal value instead of a
negative one.

You might well ask, "Why even bother with logs?"

Of course, expected satisfaction would be positive, but maximizing expected
satisfaction doesn't yield the same nice results as maximizing expected log
satisfaction.

Furthermore, the lack of expected log satisfaction is related rather directly to
what is commonly called the entropy of a probability distribution:  If you add
(to the expected lack of log satisfaction) the log of the geometric mean of all
of the ratings that the ballots give to the candidates that they "voted for,"
then you get what is commonly known as the entropy of the lottery (as a
probability distribution)..

What do I mean by "nice results?"

I mean the family of examples implicit in the following set up:

 (ratings in brackets, with w+x+y+z=100%):

v:  A1>C1[v/(v+w)]>D[v]
w: A2>C1[w/(v+w)]>D[w]
x: B1>C2[x/(x+y)]>D[x]
y: B2>C2[y/(x+y)]>D[y]

In this example there are three lotteries tied for Minimal Expected Lack of Log
Satisfaction.  They are

(1) The Random Ballot Lottery  with respective probabilities v, w, x, y for A1,
A2, B1, B2.

(2) The consensus D "lottery."

(3) The other compromise lottery that elects C1 or C2 with respective
probabilities of (v+w) and (x+y).

The common value of the MELLS for these lotteries is

   - (vlogv+wlogw+xlogx+ylogy),

which is just the entropy of the Random Ballot Lottery.

So these three lotteries are tied for MELLS winner, which is the way it should
be if the ratings are interpreted as  utilities.  In other words, the voters
would be indifferent among these three lotteries if their ratings were "sincere
utilities."

I hope that clarifies the rationale behind MELLS.

Forest


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Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread Kevin Venzke
Hello,

--- En date de : Dim 21.12.08, Abd ul-Rahman Lomax  a 
écrit :
> > Hello,
> > 
> > --- En date de : Ven 19.12.08, Abd ul-Rahman Lomax
>  a écrit :
> > 
> > > With LNH, the "harm" is that the voter
> sees a
> > > second preference candidate elected rather than
> the first
> > > preference.
> > 
> > Actually, the harm need not take that form. It could
> be that you add an
> > additional preference and cause an even worse
> candidate to win instead of
> > your favorite candidate.
> 
> That's not called LNH, I think. LNH: Adding an
> additional preference cannot cause a higher preference
> candidate to lose.

I didn't contradict that. I contradicted the statement quoted. When a
voter adds a preference and so makes a preferred candidate lose, there
is no guarantee that the new winner was ranked by this voter, according
to the definition of LNHarm.

> With Bucklin, the described behavior can't occur, if
> I'm correct.

That's correct.

> > Yes, but the concern should not be that you personally
> will ruin the
> > result, it's that you and voters of like mind and
> strategy will ruin the
> > result.
> 
> There are two approaches: true utility for various vote
> patterns, which is the "last voter" utility, since
> if your vote doesn't affect the outcome, it has no
> utility (except personal satisfaction, which should, in
> fact, be in the models. There is a satisfaction in voting
> sincerely, all by itself, and this has been neglected in
> models.)
> 
> The other approach is the "what if many think like
> me?" approach. That's not been modeled, to my
> knowledge, but it's what I'm suggesting as an
> *element* in zero-knowledge strategy. It's particularly
> important with Approval! The "mediocre" results in
> some Approval examples proposed come from voters not
> trusting that their own opinions will find agreement from
> other voters, and if almost everyone votes that way, we get
> a mediocre result. This actually requires a preposterously
> ignorant electorate, using a bad strategy.

That's not very relevant to the point I was making. I was saying it
doesn't matter whether a given (negative) change to the outcome can
be achieved by a single voter, or whether it takes a group of like-minded
voters.

> From the beginning, we should have questioned the tendency
> to believe that "strategic voting" was a Bad
> Thing.

All things being equal it is a bad thing, when the alternative is
sincerity. There are situations where it helps, is all.

> > > I'd have to look at it. How does MMPO work? I
> worry
> > > about "nearly," [...]
> > The "opposition" of candidate A to candidate
> B is the number of voters
> > ranking A above B. (There are no pairwise contests as
> such, though the
> > same data is collected as though there were.)
> > 
> > Score each candidate as the greatest opposition they
> receive from another
> > candidate.
> > 
> > Elect the candidate with the lowest score.
> > 
> > This satisfies LNHarm because by adding another
> preference, the only
> > change you can make is that a worse candidate is
> defeated.
> 
> Okay, that's clear. Now, "nearly" a Condorcet
> method?

If truncation and equal ranking are disallowed then it is a Condorcet
method (and equivalent to the other minmax methods). Discrepancies
occur when equal ranking and truncation are allowed, because instead of
candidates only being scored according to contests that they actually
lose, they are scored according to all of them, even the ones they win.

> But this is a peripheral issue for me. Reading about
> MMPO, my conclusion is that, absent far better explanations
> of the method and its implications than what I found
> looking, it's not possible as an alternative. 

But that's irrelevant. I'm not trying to persuade you to advocate MMPO.
I'm pointing out again that you can't effectively criticize LNHarm by
using arguments that are specific to IRV.

> > DSC is harder to explain. Basically the method is
> trying to identify the
> > largest "coalitions" of voters that prefer a
> given set of candidates to
> > the others. The coalitions are ranked and evaluated in
> turn. By adding
> > another preference, you can get lumped in with a
> coalition that you
> > hadn't been. (Namely, the coalition that prefers
> all the candidates that
> > you ranked, in some order, to all the others.) But
> this doesn't help
> > the added candidate win if a different candidate
> supported by this
> > coalition was already winning.
> 
> MMPO is easy to explain, but the *implications* aren't
> easy without quite a bit of study. DSC being harder to
> explain makes the implications even more obscure. Thanks for
> explaining, I appreciate the effort; but I'm
> prioritizing my time. I'll need to drop this particular
> discussion. If, however, a serious proposal is made for
> implementing one of these methods, I'll return. 

Again, the point was not to encourage you to advocate DSC.

Kevin Venzke


  

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Re: [EM] Why I think IRV isn't a serious alternative 3

2008-12-23 Thread Kevin Venzke
Hello,

--- En date de : Lun 22.12.08, Abd ul-Rahman Lomax  a 
écrit :
> At 12:56 AM 12/21/2008, Kevin Venzke wrote:
> > --- En date de : Ven 19.12.08, Abd ul-Rahman Lomax
>  a écrit :
> 
> [starts with Venzke, then my response, then his]
> > > > Mean utility is supposed to be naive, and it
> is
> > > optimal, if you are
> > > > "naive" about win odds.
> > >
> > > I know that this (mean voting strategy in
> Approval) has
> > > been proposed, but it's a poor model. A voter
> who is
> > > "naive" about win odds is a voter who
> is so out of
> > > touch with the real world that we must wonder
> about the
> > > depth of the voter's judgment of the
> candidates
> > > themselves!
> > 
> > I can't understand what you're criticizing. It
> is the zero-info strategy.
> > You seem to be attacking this strategy by attacking
> the voters who would
> > have to use it. That doesn't mean that those
> voters wouldn't have to use
> > it.
> 
> Yes, that is *a* zero-knowledge strategy that misses
> something. A voter with no knowledge about other voters is a
> very strange and unusual animal. I'm saying that the
> *strategy* is a stupid one, and that real voters are much
> smarter than that. 

This is missing the point. There is no implication anywhere that a
zero-info strategy is supposed to be usable by real voters.

> Voters have knowledge of each other,
> generally. Positing that they have sufficient knowledge of
> the candidates to have sufficient preference to even vote --
> I don't vote if I don't recognize any of the
> candidates or knowledge of whom to prefer -- but they
> don't have *any* knowledge of the likely response of
> others to those candidates, is positing a practically
> impossible situation. Yet this is the
> "zero-knowledge" assumption. In this sense,
> "zero-knowledge" doesn't exist, it's an
> oxymoron.

That's fine. It makes no difference whether zero-info strategy is ever
usable in practice.

> Most voters, in fact, have a fairly accurate knowledge of
> the rough response of the overall electorate to a set of
> candidates, provided they know the candidates. Those on the
> left know that they are on the left, and that the
> "average voter" is therefore to their right. And
> vice versa. Those near the middle think of themselves as,
> again, in the middle somewhere.

Yes, this is not a zero-info situation.

> The most common Approval Vote will be a bullet vote. How
> much "knowledge" does that take?

Do you have a very concise summary of why you believe the most common
Approval vote will be a bullet vote? Are you making any assumptions
about nomination strategy, what kinds of and how many candidates will
be nominated?

> > > This naive voter has no idea if the voter's
> own
> > > preferences are normal, or completely isolated
> from those of
> > > other voters. This is far, far from a typical
> voter, and
> > > imagining that most voters will follow this naive
> strategy
> > > is ... quite a stretch, don't you think?
> > 
> > I don't know of anyone who said that voters would
> follow this strategy
> > in a public election.
> 
> It's been implied that the scenario is somehow
> realistic. 

Do you want to name names? I don't know who has implied this.

> If there is no possibility that a scenario could
> occur in a real election, then considering it as a criticism
> of the method is ivory-tower thinking.

Are you talking about Saari?

> Mean utility of the candidates strategy has been proposed
> by Approval supporters, but unless the utilities are
> modified by expectations, it's a terrible strategy,
> bullet voting is better, probably.

Why do you think it's a terrible strategy? I think it is a better
strategy than bullet voting, unless you believe lots of clones have
been nominated in order to take advantage of your strategy. But that
would be a pretty bizarre fear since, if anyone ever learned of this
conspiracy, the strategy would disappear.

> > > > "Better than expectation" is mean
> *weighted*
> > > utility. You weight the
> > > > utilities by the expected odds that each
> candidate
> > > will win. (There is
> > > > an assumption in there about these odds
> being
> > > proportional to the odds
> > > > that your vote can break a tie.)
> > >
> > > Sure. That's the correct understanding of
> "mean
> > > utility." It means a reasonable expectation
> of the
> > > outcome. However, what's incorrect is
> assuming that
> > > voters have no idea of the probably votes of
> others.
> > 
> > Ok, but I have never done that. "Better than
> expectation" strategy
> > does not really depend on ignorance of other
> voters' intentions.
> 
> "Better than expectation strategy" is sound.
> "Better than mean of the candidates" isn't.
> But this is inherently a "strategy."

The latter is a special case of the former.

> > > Being human, each voter is a sample human, and
> more likely
> > > to represent the views of other humans than not.
> This is a
> > > far more accurate model of human behavior than
> the
> > > assumptio

Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread Dave Ketchum

On Tue, 23 Dec 2008 23:05:56 - James Gilmour wrote:

Dave Ketchum  > Sent: Tuesday, December 23, 2008 9:54 PM


Ok, I did not say it clearly.

Obvious need is to package arguments such that they are salable.

Take the one about a Condorcet winner with no first preferences.  Ugly 
thought, but how do you get there?  Perhaps with three incompatible 
positions that share equally all the first preferences, while a neutral 
candidate gets all the second preferences.


Assume it will never happen, so do not provide for such?  As I suggested 
before, somehow, if you assume such fate will, somehow, prove you wrong.


Provide a fence, forbidding getting too close to such?  Where do you put 
the fence without doing more harm than good?


Leave it legal, while assuring electors they should not worry about it ever 
occurring?  I see this as proper - it is unlikely, yet not a true disaster 
if it does manage to occur.



Interesting points, but I don't think any of them address the problem I identified.  
It is no answer at all to say "Obvious need is
to package arguments such that they are saleable.".  The ordinary electors will 
just not buy it when a weak Condorcet winner is a
real likely outcome.


Does "real likely" fit the facts?  Some thought:
Assuming 5 serious contenders they will average 3rd rank with CW doing 
better (for 3, 2nd).  Point is that while some voters may rank the CW low, 
to be CW it has to average toward first rank to beat the competition.


Or, look at the other description of CW - to be CW it won all counts 
comparing it with other candidates - for each the CW had to rank above the 
other more often than the other ranked above the CW (cycles describe nt 
having a CW).


I do not think you have to be anywhere near the zero first-preferences Condorcet 
winner scenario to be in the sphere of "politically
unacceptable".  I am quite certain that the 5% FP CW would also be politically 
unacceptable, and that there would political chaos in
the government in consequence.  The forces opposed to real reform of the voting 
system (big party politicians, big money, media
moguls, to name a few) would ensure that there was chaos, and the electors 
would have an intuitive reaction against a weak Condorcet
winner so they would go along with the demands to go back to "the good old 
ways".

I said in an earlier post that I thought a strong third-placed Condorcet winner 
could be politically acceptable, and thus the voting
system could be saleable if that was always the only likely outcome.   So I 
have been asked before where I thought the tipping point
might be, between acceptable and unacceptable.  I don't know the answer to that 
question because no work has been done on that  -
certainly not in the UK where Condorcet is not on the voting reform agenda at 
all.  In some ways the answer is irrelevant because
the Condorcet voting system will never get off the ground so long as a 5% FP 
Condorcet winner is a realistic scenario, as it is when
the current (pre-reform) political system is so dominated by two big political 
parties.

So long as the domination stays, Condorcet does not affect their being 
winners.  It helps electors both vote per the two party competition AND 
vote as they choose for third party candidates.


Only when (and if) the two parties weaken and lose their domination would 
the third party votes do any electing.



The primary battle between Clinton and Obama here presents a strong 
argument for getting rid of Plurality elections - better for them both to 
go to the general election fighting against their shared foe, McCain. 



This represents a VERY idealistic view of politics  -  at least, it would be so 
far as the UK is concerned.  NO major party is going
into any single-office single-winner election with more than one party 
candidate, no matter what the voting system.  Having more
than one candidate causes problems for the party and it certainly causes 
problems for the voters.  And there is another important
intuitive reaction on the part of the electors  -  they don't like parties that 
appear to be divided.  They like the party to sort
all that internally and to present one candidate with a common front in the 
public election for the office.  But maybe my views are
somewhat coloured by my lack of enthusiasm for public primary elections.

So long as the general election would be Plurality, the parties DESPERATELY 
needed to offer only single candidates there.  Thus the Democrats had to 
have a single candidate.


Clinton and Obama invested enormous sums in the needed primary - apparently 
the Democrats were unable to optimize this effort.  If the general election 
was Condorcet the Democrats could have considered a truce in this internal 
battle and invested all that money in making sure McCain lost.


Per your enthusiasm note, we see primaries as a normal way to decide on a 
single candidate for each party in the general election.  How is this 
handled in the UK - you a

Re: [EM] Why I think IRV isn't a serious alternative 2

2008-12-23 Thread Juho Laatu
--- On Wed, 24/12/08, James Gilmour  wrote:

> I do not think you have to be anywhere near the zero
> first-preferences Condorcet winner scenario to be in the
> sphere of "politically
> unacceptable".  I am quite certain that the 5% FP CW
> would also be politically unacceptable, and that there would
> political chaos in
> the government in consequence.  The forces opposed to real
> reform of the voting system (big party politicians, big
> money, media
> moguls, to name a few) would ensure that there was chaos,
> and the electors would have an intuitive reaction against a
> weak Condorcet
> winner so they would go along with the demands to go back
> to "the good old ways".

> ... the Condorcet voting system will never get off the ground
> so long as a 5% FP Condorcet winner is a realistic scenario,
> as it is when
> the current (pre-reform) political system is so dominated
> by two big political parties.

The question is if methods that may
regularly elect a 5% first place support
Condorcet winner can be politically
acceptable.

One reason supporting this approach is
that most single-winner methods are
designed to always elect compromise
winners. (Some methods like random ballot
are an exception since they give all
candidates a proportional probability to
become elected.)

Using single-winner methods to implement
multi-winner elections is a weird
starting point in the first place. This
approach works for two-party systems,
although PR of those two parties will not
be provided.

If one uses a compromise / best winner
seeking single-winner method like
Condorcet for multi-winner elections
(using single-seat districts) it is in
principle possible that all the districts
will elect a 5% FP support candidate. In
the worst case there are the two old major
parties with close to 50% support and then
one or few compromise candidates in the
middle.

The proportionality of this single-winner
single-seat district based Condorcet for
multi-winner elections may thus be quite
biased. The same applies to all similar
misuse of single-winner methods.

What is the fix then? One approach is to
use a single-winner methods that do not
aim at electing the best (compromise)
winner in each case. Random ballot would
be one. We would get quite decent PR this
way. But the random nature of the method
is maybe nor what people want.

Another approach is to use IRV or some
other method that favours the large
parties. No proper proportionality
provided but this approach is close to
the current plurality based approach in
many two-party countries. This approach
may thus be acceptable in wo-party
countries (but probably not elsewhere).

A third approach would be to implement
some PR method. Typically this means use
of multi-winner districts (although not
mandatory since one can do this in
principle also with single-seat or
few-seat districts).

One can interpret this as one argument in
favour of IRV-like methods that will
to some extent maintain the dominance of
the old large parties, or as a warning
against trying to achieve PR by using
single-winner methods for multi-winner
elections.

- - -

Since I mentioned option of having PR
and "few-candidate districts" here is
also one sketch of such a method.

Each district has two seats. Votes for
each party are first counted at national
level and the number of seats will be
allocated to them proportionally.

At the second phase seats are allocated
in the districts. The district that has
strongest support of some single party
gets the first seat. A quota of votes is
deducted from its votes. Next the second
strongest claim will be handled. Claims
that would exceed the two seats per
district limit or the national level
allocation of seats to each party will be
skipped. The process continues until all
seats have been allocated.

One can expect that each two-seat
district got at least one representative
that the voters clearly wanted. The
second seat will in some cases go to some
small party that didn't get as much votes
in this district as some other party did.
This violation of "local proportionality"
is needed to maintain the "national
proportionality" and the "two-seat
district approach".

(Mixed member systems would be another
approach.)

Juho






  


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