Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Juho Laatu
This was a good overall description of party list proportional 
representation. I wrote few (actually quite many) minor comments below.

On 4.7.2011, at 2.06, James Gilmour wrote:

 First we have to recognise that there is no one voting system called party 
 list proportional representation.  There are probably
 as many variants of party-list PR as there are countries and jurisdictions 
 using such a system for their public elections.
 However, these party-list PR voting systems fall into two broad categories: 
 closed-list party-list PR and open-list party-list
 PR.
 
 In both closed and open versions of party-list systems the order of the 
 candidates in each party's list is determined by the
 relevant political party.

Why do all say this? It is possible that in all used systems parties determine 
the order. But it could be of no importance from the election result point of 
view. It could be just e.g. a random or alphabetical order, possibly determined 
by the election officials. In closed lists the order is essential but not 
necessarily in open lists.

  Different countries have different rules about how that is to be done and 
 different parties have
 different procedures within those rules for ordering the lists.  Some parties 
 exercise very strong centralised control; other
 parties are much more democratic and give every member a vote.
 
 In closed-list systems the voters can vote only for a party.  Seats are 
 allocated to parties by an arithmetic formula, usually
 d'Hondt (favours parties with more votes) or Sainte-Laguë (favours parties 
 with fewer votes).

I think Sainte-Laguë could be said to be neutral with respect to party size. It 
is at least less biased than D'Hondt. (D'Hondt is also not grossly biased. It 
clearly favours large parties in the allocation of the remaining fractional 
seats. Full seats will be allocated accurately.)

  Candidates take the seats allocated
 to their respective parties strictly in the order in which they are named on 
 their parties' lists.
 
 In open-list systems the voters can also mark a vote for a candidate but 
 usually only for one candidate.  Votes for a candidate
 are counted as votes for that candidate's party and seats are allocated to 
 the parties by an arithmetic formula, usually d'Hondt or
 Sainte-Laguë as in closed-list party-list systems.  When candidates are 
 allocated to the seats won by each party, the votes for each
 candidate within the relevant party are taken into account (in different ways 
 in the various implementations).  Sometimes the
 candidates' votes can change the order in which they are allocated to the 
 party's seats.
 
 The main objection to party-list voting systems is that they are centred on 
 the registered political parties and not on the voters.

I think they are very much centered on the voters, just like most other voting 
systems. They just assume that the political field is organized and can be 
divided into parties or other maybe more election specific lists of candidates. 
(In addition many but not all list based methods allow also parties to 
determine to order in which candidates are elected.)

 (Of course, such systems cannot be used in non-partisan elections.)  The 
 prime objective of all party-list voting systems is to
 deliver PR of the registered political parties.

... and other (non-registered) groupings of candidates and candidates running 
alone.

  Party-list voting systems entrench the political power of the political 
 parties
 (especially the central party machine) at the expense of the voters.

Maybe in the form of the party determined order in the closed lists. Otherwise 
maybe not more than in any other party based political system. I however note 
that methods that provide proportionality also within parties may reduce the 
power of the central party machine since then the opinions of the voters 
become more visible. Party lists don't exclude such proportionality although 
they usually do not provide any party internal proportionality. One more thing 
is that methods where candidates run as independent citizens and join together 
as parties or other groupings only after the election put at least 
psychologically more weight on the party independent role of the 
representatives. Also voters' ability to vote across party border lines (as 
e.g. in STV) may have some similar psychological effects.

  This is most certainly true of closed-list party-list voting
 systems where the voters have no say in which candidates are elected.  
 Open-list systems do allow the voters some say in which of
 the parties' candidates should be elected

Not some say but possibly also all say. In the beginning of the mail you 
said that there are two categories, closed-list party-list PR and open-list 
party-list PR. It s a matter of taste in which of those categories one puts 
those methods where voters have some say on which candidates will be elected 
(could depend on e.g. if voters vote for parties/lists or 

Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Juho Laatu
On 4.7.2011, at 4.08, Kathy Dopp wrote:

 Thanks for the responses.  In response to the party leaders having too
 much control, I believe it is possible to make party-lists on the
 fly from voters' own rank choice ballots in a way that the most voters
 would naturally support -- which would put the control into voters'
 hands and treat all voters fairly and the same (unlike IRV and STV).
 As soon as I have time, I'll write it up.

Yes. One could use primaries to determine the order of candidates in the closed 
lists. One could enhance open lists by using STV (or e.g. some Condorcet based 
proportional method) to build a hybrid method that provides proportionality 
also within parties. One could also use tree like lists to implement more 
accurate proportionality within parties. There are many tricks to reduce the 
possible problems of fixed order in the closed lists and to improve party 
INTERNAL proportionality in both open and closed lists.

 
 I appreciate the comments and agree with the problem of too much
 control given to party leaders -- but think that it is solvable, and
 that the Condorcet method can be used to resolve any ties with this
 method.   It seems a little more complex than I like, but perhaps it
 can be simply described and counted? Not sure yet.

One reason why Condorcet based proportional methods have not gained popularity 
is that they are even computationally complex (in addition to being quite 
difficult to understand to regular politicians) (when compared to basic single 
winner Condorcet methods that are simpler but do not provide proportionality).

Juho


 
 On Sun, Jul 3, 2011 at 2:06 PM,  padraigdelg...@yahoo.co.uk wrote:
 Hi Kathy,
 
 I can't speak for the person who said it on this list but the primary reason 
 for most people is that it gives control to party elites - those who select 
 the party candidates and decide order on which they come on said list.
 
 Personally I think there are many ways to overcome that problem, and it can 
 be a good method.
 
 
 What, for instance?
 
 
 Kathy Dopp
 http://electionmathematics.org
 Town of Colonie, NY 12304
 One of the best ways to keep any conversation civil is to support the
 discussion with true facts.
 
 Fundamentals of Verifiable Elections
 http://kathydopp.com/wordpress/?p=174
 
 View some of my research on my SSRN Author page:
 http://ssrn.com/author=1451051
 
 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] Condorcet divisor method proportional representation

2011-07-04 Thread Juho Laatu
On 3.7.2011, at 20.34, Kristofer Munsterhjelm wrote:

 Kathy Dopp wrote:
 On Sun, Jul 3, 2011 at 2:33 AM, Kristofer Munsterhjelm
 km_el...@lavabit.com wrote:
 Kathy Dopp wrote:
 I do not like this system and believe it is improper to call it
 Condorcet. It seems to have all the same flaws as IRV - hiding the
 lower choice votes of voters, except if the voter voted for some of
 the less popular candidates.  Thus, I can see there may be lots of
 cases when it eliminates the Condorcet winner.
 Do you mean that it fails to elect the Condorcet winner in some singlewinner
 elections, or in multiwinner ones? If it's the latter, then there's a
 perfectly good reason for that.
 
 Let me pull an old example again:
 
 45: Left  Center  Right
 45: Right  Center  Left
 10: Center  Right  Left
 
 If there's one seat, Center is the CW; but if you want to elect two, it
 seems most fair to elect Left and Right. If Center is elected, the wing
 corresponding to the other winning candidate will have greater power.
 I disagree. In your example, clearly 55 prefer right to left, but only
 45 prefer left to right.  And center is the clear winner overall.
 Thus, if only two will be elected, it should be center and right.
 
 That's incompatible with the Droop proportionality criterion. The DPC says 
 that if there are k seats, and a fraction greater than 1/(k+1) of the 
 electorate all prefer a certain set of candidates to all others, then someone 
 in that set should be elected.
 
 (Actually, the more general sense is that if more than p/(k+1) of the 
 electorate all prefer a set of q candidates to all others, then min(p, q) of 
 these candidates should win.)
 
 You could also consider a single-candidate variant of the majority criterion: 
 If, in a single-winner case, more than 50% vote a certain candidate top, he 
 should win. If, in a two-winner case, more than 33% vote a certain candidate 
 top, he should win. If in an n-winner case, more than 1/(n+1) vote a certain 
 candidate top, he should win. Such a criterion would mean that Left and Right 
 have to be elected, because each is supported by more than 33%.

Here's one more example that I have used to point out the difference between 
proportionality oriented and majority oriented elections. Party A has 55% 
support and two candidates, party B has 45% support and only one candidate.

55: A1A2B
45: BA1A2

A1 is the clear Condorcet winner in single winner elections.

Any proportional multi winner election that elects two representatives would 
elect A1 and B.

If we elect two most popular candidates, then we elect A1 and A2.

If we allow voters to elect any pair of candidates (using a single winner 
Condorcet method), then the candidate sets are {A1, A2}, {A1, B} and {A2, B}. 
Out of these three alternatives {A1, A2} would be a Condorcet winner (since the 
55 A party supporters have a majority and can therefore always decide).

As Kristofer Munsterhjelm points out, proportional methods may and should 
sometimes not elect the (single winner) Condorcet winner. The Condorcet 
criterion can be applied in groups (extended) so that the best group of n 
candidates is does not always contain all candidates of best group of size m, 
where mn (in the single winner Condorcet case m=1). In more general terms my 
point is also that dIfferent elections may have different needs and targets and 
rules.

- We could also have single winner methods that do not always elect the 
Condorcet winner. We could for example have a method that would elect A1 with 
55% probability and B with 45% probability, and that would this way provide 
statistical proportionality in time.

- A Republican government in the U.S.A. could elect only republican candidates 
as ambassadors and judges, maybe in the Condorcet preference order. The voters 
could be Republicans only, or alternatively both Republicans and Democrats, but 
the point is that majority would rule in both cases, until next time when the 
majority could be the other party.

- Also if you elect employees from a group of candidates there is maybe no need 
to be proportional. Just pick the best ones.

((I also note that in principle Condorcet methods need not define a full 
preference order of the candidates. Picking one winner is all that single 
winner methods need to do.))

Juho





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


Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Kathy Dopp
On Sun, Jul 3, 2011 at 1:34 PM, Kristofer Munsterhjelm
km_el...@lavabit.com wrote:

 Let me pull an old example again:

 45: Left  Center  Right
 45: Right  Center  Left
 10: Center  Right  Left

 If there's one seat, Center is the CW; but if you want to elect two, it
 seems most fair to elect Left and Right. If Center is elected, the wing
 corresponding to the other winning candidate will have greater power.

 I disagree. In your example, clearly 55 prefer right to left, but only
 45 prefer left to right.  And center is the clear winner overall.
 Thus, if only two will be elected, it should be center and right.

 That's incompatible with the Droop proportionality criterion. The DPC says
 that if there are k seats, and a fraction greater than 1/(k+1) of the
 electorate all prefer a certain set of candidates to all others, then
 someone in that set should be elected.

In your example:
55: prefer Center to (Left or Right)
55: prefer Right to Left
45: prefer Left to Right

and you say that the Droop criteria says that Right and Left must be elected!

But by the rule you cite, then all three candidates must be elected,
and thus the Droop quota requires electing k+1 candidates, which
contradicts the statement of its own rule.

Thus, QED, the Droop criteria doesn't elect k seats, and so must be
abandoned, unless you are insisting on burying the 2nd choice
candidates of all voters - like STV and IRV do to some voters, while
considering the 2nd choice candidates of others.  Thus, it seems
logical, that only an IRV proponent, who insists on not looking at the
2nd choice votes of some voters would insist on using the Droop quota.
 I dare say, that to apply the Droop quota  in many instances requires
the unfair treatment of voters' votes (looking at only some voters 2nd
and later choices, but not others) in most cases, or it would tend to
elect more or less than the required number of seats otherwise. Hence,
the Droop quota, not in this example, but in many others with the same
number of voters and candidates, would require the unfair treatment of
voters' rank choice votes or if not, it would elect the wrong number
of seats.




 (Actually, the more general sense is that if more than p/(k+1) of the
 electorate all prefer a set of q candidates to all others, then min(p, q) of
 these candidates should win.)

Throwing p in the expression, seems to make little sense. You mean if
only p= 6/(k+1) = 2 voters prefers a set of 3 candidates to all
others, in the case of k=2, then min(2,3) = 2 of these candidates
should win!  That's a funny rule.

A more common sense rule IMO would be for k seats, elect the k
candidates who are preferred above the rest of the candidates by more
voters.

-- 

Kathy Dopp
http://electionmathematics.org
Town of Colonie, NY 12304
One of the best ways to keep any conversation civil is to support the
discussion with true facts.

Fundamentals of Verifiable Elections
http://kathydopp.com/wordpress/?p=174

View some of my research on my SSRN Author page:
http://ssrn.com/author=1451051

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


Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Kathy Dopp
 From: Juho Laatu juho4...@yahoo.co.uk
 To: EM election-methods@lists.electorama.com
 Subject: Re: [EM] What's wrong with the party list system?

 On 4.7.2011, at 4.08, Kathy Dopp wrote:

 Thanks for the responses.  In response to the party leaders having too
 much control, I believe it is possible to make party-lists on the
 fly from voters' own rank choice ballots in a way that the most voters
 would naturally support -- which would put the control into voters'
 hands and treat all voters fairly and the same (unlike IRV and STV).
 As soon as I have time, I'll write it up.

 Yes. One could use primaries to determine the order of candidates in the 
 closed lists. One could enhance open lists by using STV (or e.g. some 
 Condorcet based proportional method) to build a hybrid method that provides 
 proportionality also within parties. One could also use tree like lists to 
 implement more accurate proportionality within parties. There are many tricks 
 to reduce the possible problems of fixed order in the closed lists and to 
 improve party INTERNAL proportionality in both open and closed lists.


I was *not* referring to using primaries or STV.  I am proposing using
a combination of Condorcet and voters' own rank choice ballots, i.e.
all the unique permutations of rank choice ballots cast by voters to
determine an on-the-fly list ordering of candidates to elect
winners.   However, although it is precinct-summable, it would require
(n-1)! sums per precinct to count, and be at least tediously
time-consuming to manually calculate. I haven't given thought yet to
how to manually audit the results. That seems complex too.  So, even
though this method is simpler than IRV/STV methods to manually count,
and at least does not require centralized counting only after all
ballots are cast, and treats all voters votes equally, it may be too
complex - regardless of how fair and individualized.  I will write it
up when I have time. Perhaps it is an all-new PR electoral method
proposal, or perhaps not, or will be equivalent to some other.


 I appreciate the comments and agree with the problem of too much
 control given to party leaders -- but think that it is solvable, and
 that the Condorcet method can be used to resolve any ties with this
 method.   It seems a little more complex than I like, but perhaps it
 can be simply described and counted? Not sure yet.

 One reason why Condorcet based proportional methods have not gained 
 popularity is that they are even computationally complex (in addition to 
 being quite difficult to understand to regular politicians) (when compared to 
 basic single winner Condorcet methods that are simpler but do not provide 
 proportionality).

This method I am thinking of is, I believe, fairly easy for computers
to count (once I go through all the cases that may crop up to see what
rule(s) fits best), and probably fairly easy, but tedious and
time-consuming, for people to count manually. Condorcet comes in as
the secondary condition, not the first, in this method.  Even after I
work through it,  folks on this list may think of other special cases
that may crop up and need some resolution.  It may not be the best
choice in terms of complexity of counting.

I like the open party list system, and agree that as long as anyone
could form an on-the-fly party by running and putting his/her own
list together, it does not necessarily give parties any more of an
upper hand than already exists today.  I suppose the name could be
abbreviated to be simply the list method.  However, I do like the
idea of allowing voters to simply rank any of the candidates from any
list and put together the lists on-the-fly from their rank choices -
but may not be worth the extra effort in counting difficulty, since
the lion's share of voters would not have time or ability to
investigate the individual positions of a large number of candidates.
Most voters use political party as an identifier for quick
decision-making.


Kathy Dopp
http://electionmathematics.org
Town of Colonie, NY 12304
One of the best ways to keep any conversation civil is to support the
discussion with true facts.

Fundamentals of Verifiable Elections
http://kathydopp.com/wordpress/?p=174

View some of my research on my SSRN Author page:
http://ssrn.com/author=1451051

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


Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Kristofer Munsterhjelm

Kathy Dopp wrote:

On Sun, Jul 3, 2011 at 1:34 PM, Kristofer Munsterhjelm
km_el...@lavabit.com wrote:


Let me pull an old example again:

45: Left  Center  Right
45: Right  Center  Left
10: Center  Right  Left

If there's one seat, Center is the CW; but if you want to elect two, it
seems most fair to elect Left and Right. If Center is elected, the wing
corresponding to the other winning candidate will have greater power.

I disagree. In your example, clearly 55 prefer right to left, but only
45 prefer left to right.  And center is the clear winner overall.
Thus, if only two will be elected, it should be center and right.

That's incompatible with the Droop proportionality criterion. The DPC says
that if there are k seats, and a fraction greater than 1/(k+1) of the
electorate all prefer a certain set of candidates to all others, then
someone in that set should be elected.


In your example:
55: prefer Center to (Left or Right)
55: prefer Right to Left
45: prefer Left to Right

and you say that the Droop criteria says that Right and Left must be elected!

But by the rule you cite, then all three candidates must be elected,
and thus the Droop quota requires electing k+1 candidates, which
contradicts the statement of its own rule.


That's not what it says. The DPC says that:

if there are k seats, and a fraction greater than 1/(k+1) of the 
electorate all prefer a certain set of candidates


*to all others*,

then someone in that set should be elected.

In other words, if more than a 1/(k+1) fraction voted A, B, and C, above 
all the other candidates, but not necessarily in the same order, then 
one of A, B, and C should win. Center is not preferred *to all others* 
by more than a Droop quota - only the 10 Center voters prefer Center to 
all others.


If you want to be exhaustive, the count for all sets are:

100 voters prefer the set {Left, Center, Right} to all others
 45 voters prefer the set {Left, Center} to all others
  0 voters prefer the set {Left, Right} to all others
 55 voters prefer the set {Right, Center} to all others
 45 voters prefer the set {Left} to all others
 45 voters prefer the set {Right} to all others
 10 voters prefer the set {Center} to all others.

A Droop quota is 1/(k+1), in this case, 100/3 = 33 + 1/3. That means 
that the DPC says:

Elect at least one from {Left, Center}  (since 45  33.3)
Elect at least one from {Right, Center} (since 55  33.3)
Elect at least one from {Left}  (since 45  33.3)
Elect at least one from {Right} (since 45  33.3)

and the only way to make that work is to elect Left and Right.

The Droop proportionality criterion is thus a generalization of the 
mutual majority criterion, which says that if a majority prefers a 
certain set of candidates to everybody else, then someone from that set 
should win.
(If the candidates in that set had agreed to run only one of the 
candidates, that candidate would, after all, have won by a straight 
majority.)



(Actually, the more general sense is that if more than p/(k+1) of the
electorate all prefer a set of q candidates to all others, then min(p, q) of
these candidates should win.)


Throwing p in the expression, seems to make little sense. You mean if
only p= 6/(k+1) = 2 voters prefers a set of 3 candidates to all
others, in the case of k=2, then min(2,3) = 2 of these candidates
should win!  That's a funny rule.


I forgot to say fraction. If a fraction of more than p/(k+1) of the 
electorate all prefer a set of q candidates to everybody else, then 
min(p, q) should win. In the example above, with two winners, this works 
out as:


 if more than 100 * 1/3 = 33 + 1/3 voters prefer a set to everybody 
else, at least one candidate from that set should win,
 if more than 100 * 2/3 = 66 + 2/3 voters prefer a set to everybody 
else, at least two candidates from that set should win, unless the set 
has only one candidate in it (in which case it's impossible).


For three winners:
 if more than 100 * 1/4 = 25 voters prefer a set to everybody else, at 
least one should be elected from that set,
 if more than 100 * 2/4 = 50 voters..., at least two candidates should 
be elected from that set (if possible),

 if more than 100 * 3/4 = 75 voters..., at least three candidates,

and so on.


A more common sense rule IMO would be for k seats, elect the k
candidates who are preferred above the rest of the candidates by more
voters.


If you mean the k individual candidates, then consider an election of 
the form:


51: A1  A2  A3  A4  B1  B2  B3  B4
49: B1  B2  B3  B4  A1  A2  A3  A4

four seats.

The first candidate preferred by more voters is A1. The second is A2. 
The third is A3, and the fourth is A4. So the assembly turns out to have 
only A-candidates, even though only slightly more than half of the 
electorate ranked the A-candidates above the B-candidates. That's not 
very proportional.


If you mean k candidates taken as a whole, then that's what the 
Condorcet-like 

Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Kristofer Munsterhjelm

Kathy Dopp wrote:

Thanks for the responses.  In response to the party leaders having too
much control, I believe it is possible to make party-lists on the
fly from voters' own rank choice ballots in a way that the most voters
would naturally support -- which would put the control into voters'
hands and treat all voters fairly and the same (unlike IRV and STV).
As soon as I have time, I'll write it up.


You could make a party list system that would arrange the list after the 
election, yes. This would have a ballot where you first pick a party and 
then order the party's candidates.


However, either the election method used within each party to determine 
the list orders would be majoritarian (in which case the system isn't 
proportional beyond the party level), or it would be PR (in which case 
you could just as easily remove the party constraint and just use the PR 
method directly).


I suppose a party list with Condorcet for each party method would both 
be summable and inter-party proportional[1]. If the largest party fields 
n candidates and there are k parties, then you would have an upper bound 
of k * n^2 numbers, which is polynomial in the summability sense. You 
would in essence do k mini-elections, one for each party.


[1] that is, proportional between parties, if not inside each.


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


Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Kathy Dopp
Thanks Kristofer.  I ignored the all* in all others.

I must say then, I simply do not like the Droop quota as a criteria
because it elects less popular candidates favored by fewer voters
overall and eliminates the Condorcet winners some times. The Droop
quota seems to go hand in hand with IRV and STV methods.

 The Droop proportionality criterion is thus a generalization of the mutual
 majority criterion, which says that if a majority prefers a certain set of
 candidates to everybody else, then someone from that set should win.

Yes.  Even in the case that a greater majority prefers a different set
of candidates over the ones elected by Droop.

Interesting.

Kathy

On Mon, Jul 4, 2011 at 9:22 AM, Kristofer Munsterhjelm
km_el...@lavabit.com wrote:
 Kathy Dopp wrote:

 On Sun, Jul 3, 2011 at 1:34 PM, Kristofer Munsterhjelm
 km_el...@lavabit.com wrote:

 Let me pull an old example again:

 45: Left  Center  Right
 45: Right  Center  Left
 10: Center  Right  Left

 If there's one seat, Center is the CW; but if you want to elect two, it
 seems most fair to elect Left and Right. If Center is elected, the wing
 corresponding to the other winning candidate will have greater power.

 I disagree. In your example, clearly 55 prefer right to left, but only
 45 prefer left to right.  And center is the clear winner overall.
 Thus, if only two will be elected, it should be center and right.

 That's incompatible with the Droop proportionality criterion. The DPC
 says
 that if there are k seats, and a fraction greater than 1/(k+1) of the
 electorate all prefer a certain set of candidates to all others, then
 someone in that set should be elected.

 In your example:
 55: prefer Center to (Left or Right)
 55: prefer Right to Left
 45: prefer Left to Right

 and you say that the Droop criteria says that Right and Left must be
 elected!

 But by the rule you cite, then all three candidates must be elected,
 and thus the Droop quota requires electing k+1 candidates, which
 contradicts the statement of its own rule.

 That's not what it says. The DPC says that:

 if there are k seats, and a fraction greater than 1/(k+1) of the electorate
 all prefer a certain set of candidates

 *to all others*,

 then someone in that set should be elected.

 In other words, if more than a 1/(k+1) fraction voted A, B, and C, above all
 the other candidates, but not necessarily in the same order, then one of A,
 B, and C should win. Center is not preferred *to all others* by more than a
 Droop quota - only the 10 Center voters prefer Center to all others.

 If you want to be exhaustive, the count for all sets are:

 100 voters prefer the set {Left, Center, Right} to all others
  45 voters prefer the set {Left, Center} to all others
  0 voters prefer the set {Left, Right} to all others
  55 voters prefer the set {Right, Center} to all others
  45 voters prefer the set {Left} to all others
  45 voters prefer the set {Right} to all others
  10 voters prefer the set {Center} to all others.

 A Droop quota is 1/(k+1), in this case, 100/3 = 33 + 1/3. That means that
 the DPC says:
        Elect at least one from {Left, Center}  (since 45  33.3)
        Elect at least one from {Right, Center} (since 55  33.3)
        Elect at least one from {Left}          (since 45  33.3)
        Elect at least one from {Right}         (since 45  33.3)

 and the only way to make that work is to elect Left and Right.

 The Droop proportionality criterion is thus a generalization of the mutual
 majority criterion, which says that if a majority prefers a certain set of
 candidates to everybody else, then someone from that set should win.
 (If the candidates in that set had agreed to run only one of the candidates,
 that candidate would, after all, have won by a straight majority.)

 (Actually, the more general sense is that if more than p/(k+1) of the
 electorate all prefer a set of q candidates to all others, then min(p, q)
 of
 these candidates should win.)

 Throwing p in the expression, seems to make little sense. You mean if
 only p= 6/(k+1) = 2 voters prefers a set of 3 candidates to all
 others, in the case of k=2, then min(2,3) = 2 of these candidates
 should win!  That's a funny rule.

 I forgot to say fraction. If a fraction of more than p/(k+1) of the
 electorate all prefer a set of q candidates to everybody else, then min(p,
 q) should win. In the example above, with two winners, this works out as:

  if more than 100 * 1/3 = 33 + 1/3 voters prefer a set to everybody else, at
 least one candidate from that set should win,
  if more than 100 * 2/3 = 66 + 2/3 voters prefer a set to everybody else, at
 least two candidates from that set should win, unless the set has only one
 candidate in it (in which case it's impossible).

 For three winners:
  if more than 100 * 1/4 = 25 voters prefer a set to everybody else, at least
 one should be elected from that set,
  if more than 100 * 2/4 = 50 voters..., at least two candidates should be
 elected from that set (if 

Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Kathy Dopp
On Mon, Jul 4, 2011 at 9:30 AM, Kristofer Munsterhjelm
km_el...@lavabit.com wrote:


 You could make a party list system that would arrange the list after the
 election, yes. This would have a ballot where you first pick a party and
 then order the party's candidates.

Yes, the open party list system already exists in nations and Juho has
discussed it nicely on this list.  I think most open party list
systems today allow voters to vote for the party and simply one
candidate from that party.


 However, either the election method used within each party to determine the
 list orders would be majoritarian (in which case the system isn't
 proportional beyond the party level),

Plurality is how it is done I believe.  To have PR within the party
would require some sort of party primary system I suppose to determine
which candidates are on each list in the general election for each
party.

 or it would be PR (in which case you
 could just as easily remove the party constraint and just use the PR method
 directly).

Then you don't have a party list system - Do you mean use STV again?


 I suppose a party list with Condorcet for each party method would both be
 summable and inter-party proportional[1]. If the largest party fields n
 candidates and there are k parties, then you would have an upper bound of k
 * n^2 numbers, which is polynomial in the summability sense. You would in
 essence do k mini-elections, one for each party.

 [1] that is, proportional between parties, if not inside each.


That is an interesting idea that would require a different ballot type
than in existing party list systems whereby one could rank all the
candidates within a particular party one votes for.  In that case, we
might want to return to the days where people cast a party ballot -
but that brings up privacy concerns for some people -- but no more
than registering for a political party and voting in a political party
primary IMO.

The nice feature of existing party list methods is that it allows the
election of a large number of candidates to a large national body of
legislators without requiring voters to rank individually a huge
number of candidates. This makes the job for voters and election
administrators much easier than asking voters to rank from among a
huge number of candidates.  (which makes me less inclined to even work
on the on-the-fly party list system I have in mind - which would be
probably only administratively and voter practical for electing
smaller, more local bodies of representatives.)


-- 

Kathy Dopp
http://electionmathematics.org
Town of Colonie, NY 12304
One of the best ways to keep any conversation civil is to support the
discussion with true facts.

Fundamentals of Verifiable Elections
http://kathydopp.com/wordpress/?p=174

View some of my research on my SSRN Author page:
http://ssrn.com/author=1451051

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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Jameson Quinn



 The nice feature of existing party list methods is that it allows the
 election of a large number of candidates to a large national body of
 legislators without requiring voters to rank individually a huge
 number of candidates.


Yes, this is the main reason for people who favor party list systems. Note
that this same advantage can be given, without giving any centralized power
to party structures, by using Asset or Asset/STV blends.  These can include
ballots of any complexity - from vote-for-one to full ratings ballots - and
many different proportional vote assignment/transfer rules. They can even do
things similar to mixed member systems, in which all votes are local but
vote transfers can be regional/national. And parties can voluntarily
recreate the effects of either open or closed lists within such systems. The
only downside to asset-like PR systems is that they require the candidates
to be somewhat more sophisticated.

Thus, in general, I prefer such systems to party lists. Also, with my house
in Guatemala, I've seen close-up how extremely dysfunctional closed party
list systems can get.

JQ

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Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Juho Laatu
On 4.7.2011, at 16.33, Kathy Dopp wrote:

 I must say then, I simply do not like the Droop quota as a criteria
 because it elects less popular candidates favored by fewer voters
 overall and eliminates the Condorcet winners some times.

If you want the most popular single candidates to be elected (e.g. Condorcet 
winner), and you do not require 100% best proportionality, then maybe you like 
methods that are based on proportional ordering. Also your interest in 
organizing the party lists in some preference order points out in this 
direction.

Proportional order based methods thus do not provide the best possible 
proportionality but they are close. Typical proportional order methods follow 
philosophy where you fist pick the winner if there is only one representative. 
That would be the Condorcet winner. The next candidate is the one that makes a 
two seat representative body most proportional, but with the condition that the 
first candidate will not be changed. And so on for the rest of the seats.

Proportional ordering methods are also algorithmically simpler than methods 
that seek best possible proportionality. (Methods that seek ideal 
proportionality do not respect the condition/limitation of creating an ordering 
that increases the number of representatives one by one.)

If you want to put emphasis on always electing the most popular ones of the 
candidates, but keep good proportionality at the same time, and not allow 
majority to take all the seats, then maybe proportional ordering methods are 
close to what you want. They may also not always elect the next most popular 
candidate, if e.g. some wing has already had its fair share of candidates, but 
maybe they offer a good approximation of what you want.

Juho





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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread James Gilmour
Kathy Dopp   Sent: Monday, July 04, 2011 2:53 PM
  However, either the election method used within each party to 
  determine the list orders would be majoritarian (in which case the 
  system isn't proportional beyond the party level),
 
 Plurality is how it is done I believe.  To have PR within the 
 party would require some sort of party primary system I 
 suppose to determine which candidates are on each list in the 
 general election for each party.

This suggestion misses the point.  For any voting system to give full effect to 
proportional representation of the voters, the
selection of the candidates to take the seats won by a party must be decided by 
those who vote in the actual public election  -  not
decided by any kind of party primary.  After all, the party primary (before the 
public election) has already decided who should be
on the party's list and has ordered that list.

 The nice feature of existing party list methods is that it 
 allows the election of a large number of candidates to a 
 large national body of legislators without requiring voters 
 to rank individually a huge number of candidates. This makes 
 the job for voters and election administrators much easier 
 than asking voters to rank from among a huge number of 
 candidates.

But it is precisely this nice feature of most open-list party-list systems 
that causes the failure of such systems to produce
proportionality WITHIN parties.

If you are going to do this properly, to produce a within-party PR result, the 
voters for each party would have to mark preferences
against the candidates in their chosen party's list (not necessarily all 
candidates, depending on the system you choose).  And then
you would need to use STV-PR (or something like it as you don't like STV) to 
determine which candidates should take the seats
allocated to each party.  No such system could be precinct-summable, but that 
is not a priority for everyone.

And as has already been said, if you are prepared to go the bother of counting 
what is in effect a separate PR election WITHIN each
party, why not go all the way and apply your chosen PR system to all candidates 
across all parties?  That would give the voters real
choice and would also avoid completely the problem of entrenching the political 
power of the parties' machines.

James Gilmour



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Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Kristofer Munsterhjelm

Kathy Dopp wrote:

Thanks Kristofer.  I ignored the all* in all others.

I must say then, I simply do not like the Droop quota as a criteria
because it elects less popular candidates favored by fewer voters
overall and eliminates the Condorcet winners some times. The Droop
quota seems to go hand in hand with IRV and STV methods.


Then the question you should ask is where you want to balance 
proportionality and majoritarianism. When dealing with multiwinner 
elections, there are two objectives that work against each other. On the 
one hand, you'd want proportionality, so that variation in the 
electorate is reflected by variation in the assembly or council. That 
is, you'd like it to have members that some people like a lot. On the 
other, you'd want quality across the board, i.e. candidates that every 
voter can like to some extent.


This, as my simulations show, gives a tradeoff scale (on the Pareto 
frontier). At one end, the only thing that matters is that 
proportionality is accurately reproduced (consider an assembly that's 
elected by lot, and that it's large enough to be representative). At the 
other, the only thing that matters is what the electorate as a whole 
thinks of the council (which would give a majority party, even a 51% 
one, every single seat; or even a well-liked minority party every single 
seat, Range style).


The Droop criterion pulls in the direction of proportionality. Like the 
mutual majority criterion says that a majority can control the single 
outcome in a singlewinner method, the Droop proportionality criterion 
says that, if you consider each seat to have a majority, each 
majority (Droop fraction) should be able to control the winner of that 
seat. In doing so, it can go against the wishes of a larger group: it 
satisfies a proportion of the electorate to a greater extent at the cost 
of satisfying the whole electorate less on average.


(As someone who thinks proportional representation is important, I think 
 the people may actually get a better result, on the whole, by PR. 
However, that kind of additional benefit arises from the dynamics, such 
as minor parties or independents checking major parties. That is quite 
hard to model, so when I mentioned satisfying the whole electorate 
above, I was referring to according to the preferences the voters gave 
in the election.)



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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Juho Laatu
On 4.7.2011, at 16.53, Kathy Dopp wrote:

 That is an interesting idea that would require a different ballot type
 than in existing party list systems whereby one could rank all the
 candidates within a particular party one votes for.

I just note that if we combine party lists and candidate ranking within those 
lists, then we can have actually quite simple ballots.

In a flat STV election with many candidates voters may need to rank high number 
of candidates in order to be sure that their vote will be counted fully for 
their own party and it will not exhaust in the calculation process before that 
is done. In a list election with STV (or some other ranked method) within the 
parties it is enough to rank just one candidate to be sure that the vote will 
go fully to one's own party. That makes voting simple for those who are in a 
hurry or who don't want to study the background and opinions of all the 
candidates (to be able to rank them).

For the same reason one could live with quite simple ballots without losing 
much and still be able to provide much better party internal proportionality 
than with one single vote (that is the traditional approach in list elections). 
One could e.g have a white ballot paper with three boxes. Voters would mark the 
numbers of their three favourite candidates in those three boxes. From ballot 
complexity and ballot filling effort point of view that would be about as 
simple as it gets (assuming that writing the numbers of the candidates in the 
ballot is not considered to be much more complex than ticking some ordered 
boxes next to the candidates, or giving and ordering number to each candidate). 
And this would work reasonably well also with very high number of candidates 
and elected representatives.

(Of course the idea of having proportionally ordered candidate lists in a 
closer list election would make voting in the actual election even simpler. But 
then one would need to have a primary to find the ordering for each party.)

Juho





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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread James Gilmour
Juho Laatu   Sent: Monday, July 04, 2011 4:30 PM
 (Of course the idea of having proportionally ordered 
 candidate lists in a closer list election would make voting 
 in the actual election even simpler. But then one would need 
 to have a primary to find the ordering for each party.)

But that would not give proportional representation of the voters, i.e. those 
who voted in the public election.  Any ordering of a
party's list by a primary election can, at best, reflect only the views of 
those entitled to vote in that primary.  That is a
private, internal matter for each party. For real proportional representation 
of the VOTERS, the voters must be free to express
their opinions among the parties and among the candidates within the parties.  
That can be done only in the actual public election,
i.e. all at one time, when all the voters know which parties are contesting the 
election and can see all the candidates of all the
parties.

James


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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread James Gilmour
Jameson Quinn  Sent: Monday, July 04, 2011 5:03 PM
 As I said in my last message, asset-like systems can let you 
 have your cake and eat it, if you trust your favorite 
 candidate to agree with you in ranking other candidates. This 
 is fundamentally different from trusting your party, because 
 your favorite candidate in asset-like systems could, in 
 principle, be arbitrarily close to you - even BE you, if 
 you're willing to give up vote anonymity, and if the system 
 allows this extreme. Most systems will put some limits on 
 this, but still, they are far closer to this extreme than any 
 party list system. Also, there is no need to stay within the 
 arbitrary bounds of any party; a candidate can have 
 affinities based on ideology, so candidates at the fringes of 
 their party (including the centrist fringes) have full freedom.

I am a campaigner for practical reform of voting systems and I do not think an 
asset system or asset-like system will be acceptable
for partisan public elections  -  certainly not here in the UK.  And I see 
nothing in US or Canadian politics to make me think such
a system might be any more acceptable there.  


 I disagree about the no such system statement. I myself 
 have worked out an unpublished system which is not perfectly 
 droop-PR, but is a ~99% approximation thereof; and which is 
 complicated, but still 2n² summable. It's not worth sharing 
 the details here, but, having gone through the exercise, I 
 believe that it should be possible to do better than I did.

If you have done this I would encourage you to write it up for publication in 
the (somewhat informal) technical journal Voting
matters.  In the UK we do not sum or count the ballot papers from any public 
elections in the precincts, but it would be very
interesting to see how this could be done in a practical way for STV-PR or a 
system that would deliver comparable PR results.

James



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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Jameson Quinn
2011/7/4 James Gilmour jgilm...@globalnet.co.uk

 Jameson Quinn  Sent: Monday, July 04, 2011 5:03 PM
  As I said in my last message, asset-like systems can let you
  have your cake and eat it, if you trust your favorite
  candidate to agree with you in ranking other candidates. This
  is fundamentally different from trusting your party, because
  your favorite candidate in asset-like systems could, in
  principle, be arbitrarily close to you - even BE you, if
  you're willing to give up vote anonymity, and if the system
  allows this extreme. Most systems will put some limits on
  this, but still, they are far closer to this extreme than any
  party list system. Also, there is no need to stay within the
  arbitrary bounds of any party; a candidate can have
  affinities based on ideology, so candidates at the fringes of
  their party (including the centrist fringes) have full freedom.

 I am a campaigner for practical reform of voting systems and I do not think
 an asset system or asset-like system will be acceptable
 for partisan public elections  -  certainly not here in the UK.  And I see
 nothing in US or Canadian politics to make me think such
 a system might be any more acceptable there.


I disagree, if the asset-like transfers were pre-announced and optional to
the voter. That is, no smoke-filled room after the election; everything is
there on the ballot. This still leaves a broad array of possible ballot
formats/complexities and transfer/assignment rules.

JQ




  I disagree about the no such system statement. I myself
  have worked out an unpublished system which is not perfectly
  droop-PR, but is a ~99% approximation thereof; and which is
  complicated, but still 2n² summable. It's not worth sharing
  the details here, but, having gone through the exercise, I
  believe that it should be possible to do better than I did.

 If you have done this I would encourage you to write it up for publication
 in the (somewhat informal) technical journal Voting
 matters.  In the UK we do not sum or count the ballot papers from any
 public elections in the precincts, but it would be very
 interesting to see how this could be done in a practical way for STV-PR or
 a system that would deliver comparable PR results.


I thank you for your suggestion, and I'll consider it. Just to give you an
idea, my system is bucklin-like (rated ballot considered as a
falling-threshold series of approval ballots); and the summable matrices for
my system, for each approval threshold, are the candidateXcandidate
correlations (co-occurences) and the candidateX(number of ballots with each
number of approvals) matrix. With reasonable assumptions about the
homogeneity of the higher-order candidate correlations, this system gives a
proportional result.

JQ

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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread robert bristow-johnson


On Jul 4, 2011, at 12:28 PM, Jameson Quinn wrote:




2011/7/4 James Gilmour jgilm...@globalnet.co.uk
Jameson Quinn  Sent: Monday, July 04, 2011 5:03 PM
 As I said in my last message, asset-like systems can let you
 have your cake and eat it, if you trust your favorite
 candidate to agree with you in ranking other candidates. This
 is fundamentally different from trusting your party, because
 your favorite candidate in asset-like systems could, in
 principle, be arbitrarily close to you - even BE you, if
 you're willing to give up vote anonymity, and if the system
 allows this extreme. Most systems will put some limits on
 this, but still, they are far closer to this extreme than any
 party list system. Also, there is no need to stay within the
 arbitrary bounds of any party; a candidate can have
 affinities based on ideology, so candidates at the fringes of
 their party (including the centrist fringes) have full freedom.

I am a campaigner for practical reform of voting systems and I do  
not think an asset system or asset-like system will be acceptable
for partisan public elections  -  certainly not here in the UK.  And  
I see nothing in US or Canadian politics to make me think such

a system might be any more acceptable there.

I disagree, if the asset-like transfers were pre-announced and  
optional to the voter. That is, no smoke-filled room after the  
election; everything is there on the ballot. This still leaves a  
broad array of possible ballot formats/complexities and transfer/ 
assignment rules.



being that we, in the US, are still struggling with institutions like  
the Electoral College (a term not found in the code that instituted  
it), plurality (a.k.a. simple majority), and the occasional delayed  
runoff, even if i saw asset voting as a reform, i cannot see it  
getting anywhere in the US.  only a handful of jurisdictions have a  
ranked ballot (and these elections are all decided by IRV rules, no  
government yet uses Condorcet for any public election) and,  
unfortunately from my POV, the ranked ballot is declining in use.  we  
can't even get simple reforms enacted in law, how could we get  
something as completely different as asset voting.


i believe that asset voting will never catch on, first because it's at  
least as complex as IRV which is oft rejected because of complexity,  
and second, at least with IRV (as well as in delayed runoffs), the  
voter directly controls their contingency vote, whereas in asset, they  
do not have independent control of it.


--

r b-j  r...@audioimagination.com

Imagination is more important than knowledge.





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[EM] Has this idea been considered?

2011-07-04 Thread Russ Paielli
Hello,

I was somewhat active on this mailing list for a short time several years
ago. How is everyone doing?

I have an idea for a single-winner election method, and it seems like a good
one to me. I'd like to know if it has been considered before and, if so,
what the problems are with it, if any. Here's how it works:

The mechanics of casting a ballot are identical to what we do now (in the US
anyway). Each voter simply votes for one candidate. After the votes are
counted, the last-place candidate transfers his or her votes to the
candidate of his or her choice. Then the next-to-last candidate does the
same thing, and so on, until one candidate has a majority.

The transfer of votes at the close of polling could be automated as follows.
Weeks before the election, each candidate constructs a ranked list of his or
her preferences for the other candidates. The resulting preference matrix
could (should?) be published for the voters to see in advance. The bottom
candidate at each round of transfers would then have his or her votes
automatically transferred to the top remaining candidate in his or her
preference list.

The transfer of votes from the bottom finisher in each round resembles IRV,
but note that this method is summable -- a major advantage over IRV,
eliminating the need to maintain a record of each and every vote cast. I
think it may also have other major strategy-deterring advantages over IRV.
What do you think? Thanks.

Russ P.

-- 
http://RussP.us

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Re: [EM] Has this idea been considered?

2011-07-04 Thread Jameson Quinn
A system based purely on candidates freely transferring their votes until a
majority (or Droop quota) is reached is called Asset voting. I believe that
Asset voting is a good system, though there are certainly those who'd
disagree. It is also possible - and I'd say desirable - to combine aspects
of Asset with other systems productively. One such proposal,
SODAhttp://wiki.electorama.com/wiki/SODA,
is currently my favorite practical reform proposal, something I have real
hopes for. So I'd certainly say you have (reinvented) some good ideas here.

With that said, I can see a couple of problems with this system right off.
First off, bottom-up elimination is probably the worst feature of IRV,
because there is a fairly broad range of situations where it leads
inevitably to eliminating a centrist and electing an extremist, in a way
that can clearly be criticized as spoiled (the centrist would have won
pairwise) and nonmonotonic (votes shifting to the winner can cause them to
lose). Secondly, a voter has no power to ensure that their vote is not
transferred in a way they do not approve of. This second disadvantage
compounds with the first, because a minority bloc will be eliminated early,
and their votes transferred more than once before the final result.

Cheers,
Jameson

2011/7/4 Russ Paielli russ.paie...@gmail.com

 Hello,

 I was somewhat active on this mailing list for a short time several years
 ago. How is everyone doing?

 I have an idea for a single-winner election method, and it seems like a
 good one to me. I'd like to know if it has been considered before and, if
 so, what the problems are with it, if any. Here's how it works:

 The mechanics of casting a ballot are identical to what we do now (in the
 US anyway). Each voter simply votes for one candidate. After the votes are
 counted, the last-place candidate transfers his or her votes to the
 candidate of his or her choice. Then the next-to-last candidate does the
 same thing, and so on, until one candidate has a majority.

 The transfer of votes at the close of polling could be automated as
 follows. Weeks before the election, each candidate constructs a ranked list
 of his or her preferences for the other candidates. The resulting preference
 matrix could (should?) be published for the voters to see in advance. The
 bottom candidate at each round of transfers would then have his or her votes
 automatically transferred to the top remaining candidate in his or her
 preference list.

 The transfer of votes from the bottom finisher in each round resembles IRV,
 but note that this method is summable -- a major advantage over IRV,
 eliminating the need to maintain a record of each and every vote cast. I
 think it may also have other major strategy-deterring advantages over IRV.
 What do you think? Thanks.

 Russ P.

 --
 http://RussP.us


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



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Re: [EM] Has this idea been considered?

2011-07-04 Thread Kristofer Munsterhjelm

Jameson Quinn wrote:

With that said, I can see a couple of problems with this system right 
off. First off, bottom-up elimination is probably the worst feature of 
IRV, because there is a fairly broad range of situations where it leads 
inevitably to eliminating a centrist and electing an extremist, in a way 
that can clearly be criticized as spoiled (the centrist would have won 
pairwise) and nonmonotonic (votes shifting to the winner can cause 
them to lose). Secondly, a voter has no power to ensure that their vote 
is not transferred in a way they do not approve of. This second 
disadvantage compounds with the first, because a minority bloc will be 
eliminated early, and their votes transferred more than once before the 
final result.


I wonder if it would be possible to mitigate the order-of-elimination 
problem by devising a constraint program of some sort. Something like:


A candidate has links to it from other candidates according to the 
voters who voted the other candidate above him. A candidate has links 
away from it to other candidates according to the voters who voted him 
above the other candidates.


Each candidate can hold a Droop quota's worth of voting power. Any 
excess is distributed to the candidates that candidate links to, 
proportional for each candidate to the strength of each link.


Start by giving the candidates power equal to how many people voted them 
in first place. Then: evolve the system until some candidate gets a 
Droop quota through the mutual distribution.


Perhaps this isn't always possible. I'm being a bit quick around the 
edges here. The general idea is to consider equilibria of some 
vote-distribution system so that the order in which the actual transfers 
are done matters less.



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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Juho Laatu
On 4.7.2011, at 18.59, James Gilmour wrote:

 Juho Laatu   Sent: Monday, July 04, 2011 4:30 PM
 (Of course the idea of having proportionally ordered 
 candidate lists in a closer list election would make voting 
 in the actual election even simpler. But then one would need 
 to have a primary to find the ordering for each party.)
 
 But that would not give proportional representation of the voters, i.e. those 
 who voted in the public election.  Any ordering of a
 party's list by a primary election can, at best, reflect only the views of 
 those entitled to vote in that primary.

Yes, that is not exact proportionality based on the voters of the actual 
election. But this proportionality is quite good still. It  may be ok to 
determine some things also in the primary. There are also options like allowing 
only the party members to vote or allowing everyone to vote. Their results 
offer two different approaches to the philosophy of proportionality. The latter 
case is interesting since it can be used also as a strategy. Allowing non-party 
members to say which candidates are interesting makes the party list more 
interesting / better from the non-regular party voters' point of view, and may 
lead to getting more votes in the actual election.

  That is a
 private, internal matter for each party. For real proportional representation 
 of the VOTERS, the voters must be free to express
 their opinions among the parties and among the candidates within the parties. 
  That can be done only in the actual public election,
 i.e. all at one time, when all the voters know which parties are contesting 
 the election and can see all the candidates of all the
 parties.

I could accept even arrangements where each party has different rules in their 
primary, or arrangements where the votes of different parties will be counted 
in different ways in the actual election. It is true that one would get 
cleanest proportionality if everything would be decided in one go in one big 
election with same rules for all. But if votes can be distributed to the 
parties in some nice and proportional way, they could also have their own 
(democratically chosen) ways to decide who will get seats within that party. Or 
maybe the country would set some minimum requirements for nomination and seat 
allocation within each party. Nomination is anyway usually under the control of 
the parties nowadays, so they can play tricks there (not to nominate certain 
candidates, to nominate candidates so that some of them will have good 
probability of becoming elected).

But I guess I agree with you roughly on which approaches are the cleanest.

Juho


 
 James
 
 
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Re: [EM] Condorcet divisor method proportional representation

2011-07-04 Thread Kathy Dopp
To be clearer:

 In your scenario 55% of people hate 50% of the winners and 45% hate
 (ranked last) 50% of the winners.  If the Center and Right win, only
 45% of the voters hate 50% of the winners and everyone else is happy.

In summation:

In your example, applying the Droop quota criteria, 100% of the voters
hate (rank dead last) 50% of the winners.

Looking at all voters' 2nd choices equally, only 45% of voters hate
(rank dead last) 50% of the winners -- a much more palatable outcome
for more voters.

Clearly a larger proportion of people will be more satisfied with the
results of government in your example, without the use of the Droop
quota criteria.



-- 

Kathy Dopp
http://electionmathematics.org
Town of Colonie, NY 12304
One of the best ways to keep any conversation civil is to support the
discussion with true facts.

Fundamentals of Verifiable Elections
http://kathydopp.com/wordpress/?p=174

View some of my research on my SSRN Author page:
http://ssrn.com/author=1451051

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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Juho Laatu
One possible unwanted feature in Asset like methods is that they make it 
possible for the candidates to trade with the votes. The voters may trust their 
candidate, but they should not trust them too much, since in extreme cases they 
might even sell their valuable vote assets to someone.

One straight forward fix to this problem is that the candidates would declare 
their preferences already before the election. In that case the voters would 
vote for these predeclared preference orders, and the used method could be STV 
or some other ranking based method. This approach could allow also voters to 
provide full rankings themselves, or it could allow short voter given 
preference orders to be completed to longer rankings e.g. so that the 
preference order of their first favourite will be used to continue the given 
preference order.

Since it may be too tedious to study the preference orders of all potential 
candidates one could simplify the structure. That could lead to a tree based 
election where the votes to some candidate will be inherited in a tree so that 
a vote to a candidate would support the smallest branch in the tree that 
contains this candidate. Then to the next smallest branch etc. The tree could 
be ordered also so that not only the leaves but also the branches of the tree 
would contain candidates. Branch candidates would be elected first, leading to 
a preference order among the candidates of that branch.

The basic idea of the tree is that it os easy to understand and politicians 
must declare their true preferences. Trees are not anymore far from basic 
lists. They just give a better structure to the political space.

My point was to show how the problems of Asset could be fixed and that there is 
a continuum of methods between Asset and basic list methods.

Juho



On 4.7.2011, at 17.33, Jameson Quinn wrote:

 
 
 The nice feature of existing party list methods is that it allows the
 election of a large number of candidates to a large national body of
 legislators without requiring voters to rank individually a huge
 number of candidates.
 
 Yes, this is the main reason for people who favor party list systems. Note 
 that this same advantage can be given, without giving any centralized power 
 to party structures, by using Asset or Asset/STV blends.  These can include 
 ballots of any complexity - from vote-for-one to full ratings ballots - and 
 many different proportional vote assignment/transfer rules. They can even do 
 things similar to mixed member systems, in which all votes are local but vote 
 transfers can be regional/national. And parties can voluntarily recreate the 
 effects of either open or closed lists within such systems. The only downside 
 to asset-like PR systems is that they require the candidates to be somewhat 
 more sophisticated. 
 
 Thus, in general, I prefer such systems to party lists. Also, with my house 
 in Guatemala, I've seen close-up how extremely dysfunctional closed party 
 list systems can get.
 
 JQ
 
 
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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread James Gilmour
Kathy Dopp   Sent: Monday, July 04, 2011 10:40 PM
 James,  As someone on this list already pointed out, such a 
 system as you suggest does *nothing* to ensure 
 proportionality *within* the party list because the list of 
 candidates could all have been chosen by either the leaders 
 or the majority of the political party prior to the election 
 and thus represent the same group within the party. 
 Therefore, I said that a party primary allowing all party 
 members to vote in a PR way would be needed *before* the 
 election in order to ensure proportionality. Unless, you are 
 suggesting a rule about how parties can operate requiring 
 that anyone can get on any party's ballot who wants to, or 
 has some number of signatures, without having permission of 
 the political party, I suppose.  Not sure what effects that 
 might have.  Thus, the suggestion for a party primary to 
 ensure proportionality among voting party members in the 
 primary, at least.

Kathy, your comments illustrate the fundamental problems with all party list 
voting systems: 1. you must have registered political
parties;  2. each party must produce a list of candidates ordered in some way;  
3. voters are restricted (to a greater or lesser
degree) in how they can respond to the choices of representative offered to 
them.  All of these impose unnecessary limitations on
the PR of the voters that could be obtained by a less constrained voting 
system.  I would also say that these restrictions are
undesirable, but that view reflects my political culture.  I do, however, 
recognise that these restrictions are accepted by many in
continental Europe who happily use party-list PR voting systems without any 
clamour for change.

Your comments also confuse what are essentially private matters with public 
matters.  The candidates who can stand in the name of a
registered political party must be decided by that party.  Some parties may 
decide that by centralised control; other may do it by
very democratic (PR) elections (primaries) of all party members.  All parties 
are coalitions, some broad, some narrow.  It is in a
party's interest to ensure that its list of candidates will appeal to the 
widest range of its potential supporters among the
electorate.  Thus all significant factions within a party are likely to be 
represented on its list.  If some faction within a party
finds it candidates consistently excluded, that faction will almost certainly 
go off and form a new party.  If some faction within a
party finds its candidates on the list, but always at the bottom (and so with 
little chance of election), that faction may well
split off and form a separate party, when its candidates will automatically be 
at the top of its list.  That does happen, especially
with closed-list party-list systems.  It is open for any group that can meet 
the requirements to be a registered political party to
present a list.  In some jurisdictions, that can include individuals standing 
as independent candidate.  But these are all
private matters (within-party), determined by the respective parties before 
the public election.

At the public election a voter can choose one party from among the various 
parties, and in open-list systems make one choice (or a
restricted choice) from among the candidates of that one party. The counting 
rules provide good proportionality among the parties
(subject to various arbitrary thresholds).  But with the commonly used 
open-list systems, the counting rules do not provide PR
within the parties.  Significant groups of voters who support a particular 
party can be seriously under-represented in terms of the
within-party balance, either through piling up massive votes for some 
particularly popular candidates or through spreading their
votes across too many candidates.  To overcome this defect, the votes must be 
transferable in some way.  And to ensure PR of the
voters, those transfers must be determined by the voters, not by some 
party-list rule in the legislation.

What you then end up with is a series of STV-PR elections within each party 
list (or with something comparable for those who don't
like STV).  The most complex open-list party-list systems go some way towards 
this.  But I have to say again, if you are going to go
to all that bother, why not  go the whole way and fully open up the voters' 
choice by removing all the restrictions of 'voting for a
party' and of 'voting within one party list'?

James





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Re: [EM] What's wrong with the party list system?

2011-07-04 Thread Jameson Quinn

 My point was to show how the problems of Asset could be fixed and that
 there is a continuum of methods between Asset and basic list methods.


Exactly. And the common advantage is that they simplify the task for at
least some voters, without requiring artificial party divisions. Divisions
and ideologies would still exist, but candidates who didn't fit neatly into
predefined categories would not be frozen out.

Asset-like aspects can also simplify the rules by setting up the right
incentives for the candidates and then getting out of the way. After all,
pure asset is a radically-simple system which is perfectly proportional. Not
that I think that's a realistic reform proposal, but it is a good
demonstration of principle.

JQ

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Re: [EM] Has this idea been considered?

2011-07-04 Thread Russ Paielli
Thanks for the feedback, Jameson. After thinking about it a bit, I realized
that the method I proposed probably suffers from strategy problems similar
to IRV. But at least it avoids the summability problem of IRV, which I
consider a major defect.

OK, here's another proposal. Same thing I proposed at the top of this
thread, except that voters can vote for more than one candidate, as in
Approval Voting. How does that stack up?

By the way, I took a look at SODA, and I must tell you that I don't consider
it a practical reform proposal. It's way too complicated to ever be
adopted for major public elections. The method I just proposed is already
pushing the limit for complexity, and it is much simpler than SODA.

Regards,
Russ P.


On Mon, Jul 4, 2011 at 1:10 PM, Jameson Quinn jameson.qu...@gmail.comwrote:

 A system based purely on candidates freely transferring their votes until a
 majority (or Droop quota) is reached is called Asset voting. I believe that
 Asset voting is a good system, though there are certainly those who'd
 disagree. It is also possible - and I'd say desirable - to combine aspects
 of Asset with other systems productively. One such proposal, 
 SODAhttp://wiki.electorama.com/wiki/SODA,
 is currently my favorite practical reform proposal, something I have real
 hopes for. So I'd certainly say you have (reinvented) some good ideas here.

 With that said, I can see a couple of problems with this system right off.
 First off, bottom-up elimination is probably the worst feature of IRV,
 because there is a fairly broad range of situations where it leads
 inevitably to eliminating a centrist and electing an extremist, in a way
 that can clearly be criticized as spoiled (the centrist would have won
 pairwise) and nonmonotonic (votes shifting to the winner can cause them to
 lose). Secondly, a voter has no power to ensure that their vote is not
 transferred in a way they do not approve of. This second disadvantage
 compounds with the first, because a minority bloc will be eliminated early,
 and their votes transferred more than once before the final result.

 Cheers,
 Jameson

 2011/7/4 Russ Paielli russ.paie...@gmail.com

 Hello,

 I was somewhat active on this mailing list for a short time several years
 ago. How is everyone doing?

 I have an idea for a single-winner election method, and it seems like a
 good one to me. I'd like to know if it has been considered before and, if
 so, what the problems are with it, if any. Here's how it works:

 The mechanics of casting a ballot are identical to what we do now (in the
 US anyway). Each voter simply votes for one candidate. After the votes are
 counted, the last-place candidate transfers his or her votes to the
 candidate of his or her choice. Then the next-to-last candidate does the
 same thing, and so on, until one candidate has a majority.

 The transfer of votes at the close of polling could be automated as
 follows. Weeks before the election, each candidate constructs a ranked list
 of his or her preferences for the other candidates. The resulting preference
 matrix could (should?) be published for the voters to see in advance. The
 bottom candidate at each round of transfers would then have his or her votes
 automatically transferred to the top remaining candidate in his or her
 preference list.

 The transfer of votes from the bottom finisher in each round resembles
 IRV, but note that this method is summable -- a major advantage over IRV,
 eliminating the need to maintain a record of each and every vote cast. I
 think it may also have other major strategy-deterring advantages over IRV.
 What do you think? Thanks.

 Russ P.

 --
 http://RussP.us


 
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 info





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Re: [EM] Has this idea been considered?

2011-07-04 Thread Juho Laatu
On 5.7.2011, at 3.09, Russ Paielli wrote:

 Thanks for the feedback, Jameson. After thinking about it a bit, I realized 
 that the method I proposed probably suffers from strategy problems similar to 
 IRV. But at least it avoids the summability problem of IRV, which I consider 
 a major defect.

I agree that if IRV is interesting then also this method is. Some IRV related 
problems remain but you will get summability, clear declarations of candidate 
preferences, very simple voting and ability to handle easily large number of 
candidates. You could say that this method is also an improvement of TTR 
(similar voting, but has ability to pick the winner in one round only, maybe 
smaller spoiler problem).

If people don't like the preference list given by their favourite candidate, 
one could nominate additional fake candidates to offer additional preference 
lists. If the preference list of candidate A is ABC, then thee could be an 
additional (weaker) candidate A1 whose preference order would be A1ACB.

One possible extension would be to allow candidates that are afraid that they 
would be spoilers (that reduce the votes of a stronger favourite candidate too 
much so that he will be eliminated too early) to transfer their votes right 
away. The preference list could have a cutoff. Preference list ABCDE (of 
candidate A) would be interpreted so that votes to A would be added right away 
also to the score of B and C (but not D and E). If A gets transferred votes 
from some other candidates, they will be transferred further (to candidates not 
mentioned above cutoff in the original transfer list) only after A has been 
eliminated. (One could use this trick also in regular IRV.)

If one wants to simplify the inheritance rules even more then we might end up 
using a tree method (I seem to mention it in every mail I send:). In that 
approach there is no risk of having loops in the candidate transfer order. 
Votes would be counted right away for each branch, and the candidate of the 
largest brach of the largest branch of the ... would win.

 
 OK, here's another proposal. Same thing I proposed at the top of this thread, 
 except that voters can vote for more than one candidate, as in Approval 
 Voting. How does that stack up?

You should define that method a bit more in detail. I started wondering if it 
would allow candidate X to win if he asked also 100 of his friends to take part 
in the election and transfer their votes to him.

Juho



 
 By the way, I took a look at SODA, and I must tell you that I don't consider 
 it a practical reform proposal. It's way too complicated to ever be adopted 
 for major public elections. The method I just proposed is already pushing the 
 limit for complexity, and it is much simpler than SODA.
 
 Regards,
 Russ P.
 
 
 On Mon, Jul 4, 2011 at 1:10 PM, Jameson Quinn jameson.qu...@gmail.com wrote:
 A system based purely on candidates freely transferring their votes until a 
 majority (or Droop quota) is reached is called Asset voting. I believe that 
 Asset voting is a good system, though there are certainly those who'd 
 disagree. It is also possible - and I'd say desirable - to combine aspects of 
 Asset with other systems productively. One such proposal, SODA, is currently 
 my favorite practical reform proposal, something I have real hopes for. So 
 I'd certainly say you have (reinvented) some good ideas here.
 
 With that said, I can see a couple of problems with this system right off. 
 First off, bottom-up elimination is probably the worst feature of IRV, 
 because there is a fairly broad range of situations where it leads inevitably 
 to eliminating a centrist and electing an extremist, in a way that can 
 clearly be criticized as spoiled (the centrist would have won pairwise) and 
 nonmonotonic (votes shifting to the winner can cause them to lose). 
 Secondly, a voter has no power to ensure that their vote is not transferred 
 in a way they do not approve of. This second disadvantage compounds with the 
 first, because a minority bloc will be eliminated early, and their votes 
 transferred more than once before the final result.
 
 Cheers, 
 Jameson
 
 2011/7/4 Russ Paielli russ.paie...@gmail.com
 Hello,
 
 I was somewhat active on this mailing list for a short time several years 
 ago. How is everyone doing?
 
 I have an idea for a single-winner election method, and it seems like a good 
 one to me. I'd like to know if it has been considered before and, if so, what 
 the problems are with it, if any. Here's how it works:
 
 The mechanics of casting a ballot are identical to what we do now (in the US 
 anyway). Each voter simply votes for one candidate. After the votes are 
 counted, the last-place candidate transfers his or her votes to the candidate 
 of his or her choice. Then the next-to-last candidate does the same thing, 
 and so on, until one candidate has a majority.
 
 The transfer of votes at the close of polling could be automated as follows. 
 Weeks before