Re: [Election-Methods] Bullet Voting in the wider media

2007-10-12 Thread Abd ul-Rahman Lomax
At 11:37 AM 10/12/2007, Chris Benham wrote:
We know that Condorcet methods are vulnerable to Burial and 
Compromise, and that Range is vulnerable to Burial and what has been 
called Compromise-compression
(incentive to falsely vote one or more candidates equal-top 
alongside the voter's true strict favourite).

As to Condorcet methods, the essential problem is an attempt to 
compress what should properly be a deliberative decision -- as it is 
in parliamentary systems, for officers -- into a single ballot 
process. It's inherent. In a real deliberative process, preferences 
shift *as part of the process*, and under standard rules, it is 
impossible for a decision to be made short of a majority preference 
for it over the status quo.

About Range, though, there are indeed strategies for optimizing the 
election outcome; however, it is problematic to call these 
insincere and to use the term vulnerable as if harm is done by using them.

Essentially, Range takes the votes as writ. The writing on this point 
often assumes that the voters have a weak preference, but vote a 
strong preference insincerely. However, there is no standard for 
this, and it seems to me that it is a direct contradiction, assumed 
as an initial condition. If so, then the conclusions are going to be 
invalid. From my point of view, for voting strategically in this 
way to confer an advantage, the voter must have a sufficiently strong 
preference.

Preference strength can depend on context. If I am living normally, I 
may strongly prefer a cup of coffee to a glass of water. But if I am 
seriously thirsty, and voting for coffee is likely to leave me with 
nothing, suddenly my preference for water becomes strong, approaching 
that of my preference for coffee. That is, I may still prefer coffee, 
but, now, what I am expressing, if this is a Range Vote, is that, 
please, give me coffee or water, whatever.

There is no standard for preference strength. Yet attempts to analyze 
Range strategy positing weak preference strength fail to model the 
effect of weak preference on how the voter will perceive the benefit 
of strategic exaggeration.

What I'm suggesting is that there is *no* incentive for the voter to 
*truly* exaggerate. Rather, the voter modifies preferences according 
to context; the typical application would be that it's a two-party 
system, only two candidates have a reasonable chance of winning, so 
the voter max and min rates them, then adds other preferences 
*sincerely* to them. What the voter has done is to peg the internal 
absolute utilities to an external scale, the Range of the method. 
This is a simple and reasonable *and sincere* transform, in the 
ordinary meaning of the word.

What this means, by the way, is that the transform between 
preferences and Range ratings is not linear. But the method is 
monotonic, if I'm using that term correctly. With infinite resolution 
(we can see why Warren Smith would like to see that), an increase in 
preference strength between candidates would always increase their 
distance in fully-sincere ratings, if such were practical, and all 
that is happened is that the transformation is not linear, it may be 
heavily compressed at the ends, which is why Benham's term -- where 
did he get it? -- is quite accurate. Compromise-Compression Yes, 
with a caveat. Compression implies that there is an uncompressed 
utility scale. That is far from clear!

Rather, the internal utility scale is adaptive, it is not absolute, 
it adjusts to how we see the real possibilities in the world, so that 
our meaningful distinctions (the middle part of the range, particular 
where it shifts from aversion to affinity) are what are apparent to 
us, and the rest of the options are either lumped into Highly 
desirable or Highly rejected, with internal distinctions between 
those being not considered significant.

The final runoff component means that in addition the composite 
method is vulnerable to Pushover.  Voters who are confident that 
their favourite will be one of the finalists
could have incentive to vote to try to promote a turkey as the 
other finalist. Voting sincerely could cause their sincere favourite 
to face a strong candidate and lose in the runoff.

Well, I think more attention needs to be paid to the configurations 
involved. What may seem reasonable strategy can fall apart if it has 
weak preference strength behind it. In other words, there may be some 
strategy that increases the personal expected outcome for a voter or 
bloc of voters, but the increase is not significant and it is simply 
easier for the voters to vote sincerely, assuming that we understand 
what that is!

How many voters would prefer to see a broadly acceptable candidate 
win -- and, for this question, we assume that the candidate is indeed 
acceptable to these voters -- over their personal favorite, again 
assuming that the preference strength is not great between these two 
candidates? I'd say that this depends on context 

Re: [Election-Methods] Bullet Voting in the wider media

2007-10-11 Thread Gervase Lam
 Date: Mon, 8 Oct 2007 18:00:23 -0700
 From: Jonathan Lundell [EMAIL PROTECTED]
 Subject: Re: [Election-Methods] Bullet Voting in the wider media

 On Oct 8, 2007, at 5:45 PM, Gervase Lam wrote:
 
  Date: Sun, 7 Oct 2007 17:34:10 -0700
  From: Jonathan Lundell
  Subject: Re: [Election-Methods] Bullet Voting in the wider media

  We should have another name for it.
 
  This the plurality version of Bloc (or Block) Voting:
 
 I meant: another name for insincere voting.

Oops!  Sorry.

Gervase.



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Re: [Election-Methods] Bullet Voting in the wider media

2007-10-09 Thread Chris Benham



Abd ul-Rahman Lomax wrote:


If you don't want to use the term sincere here, that's fine by me;
let's use something else. Let's find some term that describes an
ideal method in which a voter can express his true (dictatorial,
perhaps benevolently so, perhaps not) preferences without worrying
that there's some way of voting otherwise to achieve a better result.
   



Well, there is such a method, actually. First of all, you've got to 
collect the necessary data, and the only ballot that does that is a 
Range ballot. But you can analyze a Range ballot as if it were a 
preference ballot with equal ranking allowed. There are two ways to 
go: with sufficient resolution, it can be a simple Range ballot, 
because a voter can maintain a preference of only one rating step, 
which is really pretty small if it is Range 100. It's still pretty 
small with Range 10! However, if the resolution is low, the device 
would be used of having a preference indicator that does not alter 
the Range vote. I.e., you could vote two candidates as perfect 10s 
but still prefer one.


But, it turns out, you would be unlikely to actually do that, in what 
I propose. Basically, the ballots are analyzed two ways: sum of 
votes, which determines a Range nominee, and pairwise. If the Range 
winner is the Condorcet winner, and if the rules allow a victory by a 
plurality (I don't like that), then the election is over. There is no 
question about plurality if the Range winner is preferred by a majority.


But if the Range winner is beaten by another candidate, pairwise by 
preference, then there is a runoff.




Abd,

What do you propose if the Range winner is pairwise beaten by more than 
one candidate?


Chris Benham


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Re: [Election-Methods] Bullet Voting in the wider media

2007-10-09 Thread Abd ul-Rahman Lomax
At 11:03 AM 10/9/2007, Chris Benham wrote:

Abd,

What do you propose if the Range winner is pairwise beaten by more 
than one candidate?

Chris Benham

An obvious question of great interest to election methods experts. 
Not of much interest practically speaking. If it is sum-of-votes 
range, which I highly recommend, such a situation would be 
extraordinarily rare. But a complete method must address it. There is 
a simple solution, and it does not have to be perfect.

The contest is between the Range winner and any candidate who beats 
the Range winner. If there are more than two, then there are possibilities:

(1) (Preferred) The Condorcet winner among the set, (Range Winner, 
those who beat the Range winner).
(2) If there is a whole condorcet cycle beating the Range winner, 
then the one with the lowest Range score is eliminated and the 
contest is between the Condorcet winner remaining.

(The Range winner is guaranteed to be in the runoff. We can, thus, 
exclude the Range winner from any cycle, if the Range winner is a 
member of a Condorcet cycle.)

This, then, always reduces to two candidates which can be resolved in 
a single runoff.

Much better: use Asset Voting and deliberative process


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Re: [Election-Methods] Bullet Voting in the wider media

2007-10-08 Thread Jonathan Lundell
On Oct 7, 2007, at 8:31 PM, Abd ul-Rahman Lomax wrote:

 At 08:34 PM 10/7/2007, Jonathan Lundell wrote:

 The term insincere is an unfortunate shorthand for something other
 than the usual dictionary meaning. In this form of election, I take
 it to mean voting, for strategic reasons, for other than the voter's
 n favorite candidates, assuming that the voter approves of at least n
 candidates for the office

 Approves of is undefined. The voter bullet votes. That only  
 indicates approval of one candidate.

Indeed. That's why I added (and you snipped) one more sentence.

 The term insincere is an unfortunate shorthand for something other
 than the usual dictionary meaning. In this form of election, I take
 it to mean voting, for strategic reasons, for other than the voter's
 n favorite candidates, assuming that the voter approves of at least n
 candidates for the office. In this case, it's the vote that would be
 cast by a dictator.

I mean dictator in the sense used by Arrow.


 Now, I have not spent much time with multiwinner elections. Yes,  
 this article was about elections where there are n winners, but  
 I'll look at one with two winners and so the voter has 2 votes.  
 there are three candidates:

 Abraham Lincoln
 Genghis Khan
 Adolf Hitler.

 so to speak.

 Now, some elections have a threshold. If you don't get a certain  
 percentage of the vote, you are not elected; there will perhaps be  
 a runoff.

 The voter prefers Genghis Khan to Adolf Hitler, but detests both.

 Are we saying that a bullet vote for Abraham Lincoln is insincere?  
 Why? The voter has essentially set an approval cutoff between  
 Abraham Lincoln and Adolf Hitler. In this case, that isn't even  
 questionable, it is quite sincere.

Which is exactly what I meant by unfortunate shorthand above. Per  
your premise, our voter as dictator would fill the seats which Mr  
Lincoln and Mr Khan (or is it Mr Genghis?), assuming that both seats  
had to be filled from the candidate list. With STV, there's no  
problem expressing that preference. But with plurality or approval  
voting (or range, I suppose), the voter is forced to truncate his  
preferences to maximize his most-desired result: that Lincoln be  
elected, regardless of what happens to the second seat.

If you don't want to use the term sincere here, that's fine by me;  
let's use something else. Let's find some term that describes an  
ideal method in which a voter can express his true (dictatorial,  
perhaps benevolently so, perhaps not) preferences without worrying  
that there's some way of voting otherwise to achieve a better result.


 What bullet voting means, if deliberate, that the voter has such a  
 strong preference for the favored candidate winning that the voter  
 does not want to support any other candidate against him. While not  
 as drastic as the example I gave above, it merely indicates a  
 strong preference for the single candidate, strong enough that the  
 voter is willing to give up influencing a second seat. What's  
 insincere about that?

 There is a contradiction set up in every discussion I have seen of  
 the topic of strategic voting in Approval (and similar arguments  
 are made with Range):

 1. There is a voter who approves of two candidates
 2. But only votes for one because the voter wants that one to beat  
 the other.

 Ahem. Those are two contradictory conditions! Part of the problem  
 is the use of the term approval. I was just reading Voting  
 Matters and discover that I'm not the first person to suggest that  
 we are talking about voting, not approving. I might vote for  
 someone I rather heavily disapprove of, if I have no better  
 practical option. A Nader supporter might vote for Gore, even if he  
 thinks that Gore is just as much a tool as Bush, for there are  
 other issues, such as Supreme Court appointments, etc.

 My point is that a voter can set an approval cutoff anywhere the  
 voter pleases, and there is nothing insincere about it, in the  
 ordinary sense, nor, in fact, in the technical voting sense. What  
 has happened is that terms and measures developed for ranked  
 methods are being applied to cardinal methods. In a ranked method,  
 insincere has a clear meaning: preference reversal. That's easy  
 to define! But preference reversal never benefits the voter in  
 Approval, nor in Range.

 However, those who are actually advocating a ranked method, such as  
 Instant Runoff Voting, can't stand the idea that Approval is not  
 vulnerable to insincere voting, so they must extend the  
 definition of insincere to include something else. Basically,  
 they posit an approval cutoff of their own, such that the voter  
 approves of two candidates, but only votes for one. And then they  
 call this an insincere vote.

 Now, unless the voter is merely lazy, we have to say that the voter  
 voted for the candidate the voter preferred; that the voter placed  
 his approval cutoff between the two candidate 

Re: [Election-Methods] Bullet Voting in the wider media

2007-10-08 Thread Abd ul-Rahman Lomax
At 07:04 PM 10/8/2007, Jonathan Lundell wrote:
Are we saying that a bullet vote for Abraham Lincoln is insincere?
Why? The voter has essentially set an approval cutoff between
Abraham Lincoln and Adolf Hitler. In this case, that isn't even
questionable, it is quite sincere.

Which is exactly what I meant by unfortunate shorthand above. Per
your premise, our voter as dictator would fill the seats which Mr
Lincoln and Mr Khan (or is it Mr Genghis?), assuming that both seats
had to be filled from the candidate list.

Actually, no. As dictator, he would fill one seat and leave the other 
vacant until he found a better candidate!

This is one of the most offensive practices in actual elections, the 
assumption that the office *must* be filled. Robert's Rules dislikes 
that any action be taken without the support of a majority, voting 
explicitly on the question. What is interesting about Approval is 
that the winner clearly has that, the majority has decided to support 
the winner, there isn't any doubt about that. True, because of 
imperfect knowledge, the majority might actually prefer another 
candidate, but 

Well, I've seen it in action. A group had a majority preference 
(actually probably supermajority) for one thing, the status quo. A 
minority proposed that this be changed This was a group which valued 
group unity (and I'd claim that we should similarly value social 
unity overall), and so an Approval Poll was taken. Which if the 
following options would be acceptable to you? The majority could have 
bullet voted. But they did not. And while the status quo got 
something like a two-thirds vote, there was another option that got a 
*unanimous* vote, less only one. The obvious was then done, a motion 
was made to adopt the new option, and it passed *unanimously*.

So my view of the majority criterion is colored by that. I've come to 
think that majority consent to any decision is *crucial*, and this is 
fully in line with Robert's Rules. So if a candidate does not get a 
true majority, the election *fails*. Robert's Rules also dislikes 
top-two elections, which essentially *force* a majority. Rather, it 
wants repeated balloting until the group finally figures out what 
it collectively wants.

  With STV, there's no
problem expressing that preference. But with plurality or approval
voting (or range, I suppose), the voter is forced to truncate his
preferences to maximize his most-desired result: that Lincoln be
elected, regardless of what happens to the second seat.

We have to see approval as the next color in a spectrum of methods. 
This is the hierarchy as I see it:

1A. Vote for one only (equivalent to Yes for one, No to all others.
1B. Vote on each candidate as a Yes/No, as if this were a question, 
Shall this candidate be elected?

Precedent is established in the second case that, if more than one 
candidate gets a majority, the one with the most Yes votes wins. 
(See, say, the Nevada State Constitution on the question of multiple 
conflicting ballot questions.)

 From here, where do we go. There are two options.

2. Allow fractional votes. This, of course, is Range.

Why did I consider 1A and 1B to be variants of the same method? Well, 
they are counted the same, just add up the votes. Further, if we have 
a show of hands vote in a face-to-face meeting, there is no 
prohibition against voting for more than one candidate. I'm *sure* it 
happens, I've never seen a rule against it, and, in fact, there is no 
reason at all to prohibit it. In Robert's Rules, when the clerk is 
instructed to discard overvotes, there is a reason given: because the 
intention of the voter cannot be discerned. That *assumes* that 
overvotes are prohibited. It certainly is not a reason to prohibit 
them! I have, in fact, never seen such a reason that made any sense; 
as the dissent in Brown v. Smallwood (Minnesota) noted, there was no 
violation of one-person, one-vote in Bucklin (which is instant 
runoff approval, i.e., starts out with a single-vote rank, if no 
majority, next rank votes are added in, if no majority, third rank 
votes, which are not restricted to one vote, are added in.) It was 
only possible to discard overvotes with written ballots

I said there were two options: the other option is using ranks, 
preference order. The big problem with preference order is that 
preference strength isn't involved; a huge preference is treated 
identically with an almost nonexistent one. And in real-world 
decision making on a small scale, this is blatantly a poor way to go. 
Does it get better as the scale increases? I don't see why it would! 
This is where most of the election paradoxes and difficulties arise. 
The big problem with Plurality -- and Approval is really a plurality 
method -- was the restriction to a bullet vote.

Bullet voting makes sense if you are a supporter of a frontrunner in 
a two-party system, that is, your favorite is one of the top two, and 
any third candidate isn't viable as a winner. 

Re: [Election-Methods] Bullet Voting in the wider media

2007-10-08 Thread Juho
On Oct 9, 2007, at 4:00 , Jonathan Lundell wrote:

 On Oct 8, 2007, at 5:45 PM, Gervase Lam wrote:

 Date: Sun, 7 Oct 2007 17:34:10 -0700
 From: Jonathan Lundell
 Subject: Re: [Election-Methods] Bullet Voting in the wider media

 On Oct 7, 2007, at 5:01 PM, Abd ul-Rahman Lomax wrote:

 At 11:53 AM 10/7/2007, Brian Olson wrote:

 http://www.boston.com/news/local/articles/2007/10/07/
 ballot_query_to_bullet_or_not_to_bullet

 It may be worth noting (it goes without saying in the US) that the
 article is referring to n-seat plurality elections (vote for no  
 more
 than n and top n win).

 We should have another name for it.

 This the plurality version of Bloc (or Block) Voting:

 I meant: another name for insincere voting.


 http://wiki.electorama.com/wiki/Bloc_vote

 http://en.wikipedia.org/wiki/Bloc_voting

Insincere is good, at least for scientific purposes. Term  
strategic that you picked up is good as well. For me the difference  
is maybe that that sincerity assumes that the voters have been asked  
to vote in some way (maybe in order to guarantee that the method will  
provide the intended result) but they will not. Term strategic  
assumes only consideration of different voting alternatives.

It is also possible that they are asked to consider their strategic  
options and then vote strategically. In this case the two terms can  
differ a bit. One could say that the voters are now sincere but  
strategic.

Juho





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[Election-Methods] Bullet Voting in the wider media

2007-10-07 Thread Brian Olson
In case anyone's interested in what the general public are hearing  
about voting strategy.

http://www.boston.com/news/local/articles/2007/10/07/ 
ballot_query_to_bullet_or_not_to_bullet

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