At 07:14 AM 12/31/2008, Markus Schulze wrote:
Hallo,

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

That's a "majority preference." The term is not used that way in parliamentary or political usage.

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

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

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

Well, almost exactly. What is meant by the statement is a tautology. However you get to the last stage (eliminations? lottery? coin tosses?), if you only look at the votes showing for the two remaining candidates, it will either be a tie or there will be one of them with more votes. Thus, technically, the winner has a "majority of votes in the last round," but this is so far from how people use the phrase "majority of the votes" -- referring to the whole election -- that it is highly misleading. That's been my point. It's deceptive, particularly in the context of replacing top two runoff -- which has a true majority requirement -- a majority of the legal ballots must contain a vote for the winner, or there is no winner at that stage -- with IRV. "The winner will still be required to get a majority of the votes," will then be interpreted by a reasonable reader as meaning that the *same* requirement will be continued, only by allowing vote substitutions it becomes possible to find a majority -- the same kind of majority -- without resorting to a runoff.

Problem is, it is possible, sure, but by no means is it guaranteed -- and, in fact, it seems, when IRV, in nonpartisan elections, where there is not a majority in first preference, IRV -- three rank RCV in any case -- never finds one, most of the time. Bucklin is more likely to do this, I suspect, but not a *lot* more likely.

FairVote wanted to promote IRV in the U.S. to pave the way for proportional representation using STV. They knew that the complexity of the method would be an obstacle. Aha! Single winner STV is "like" runoff voting.

And so they were off. Sell IRV on the basis of being cheaper and more convenient, and whatever other arguments could be made up. Sell it as "modern" -- which is pure nonsense. It was used in the U.S. As far as I know, it may have been used before in San Francisco, in 1916 some kind of preferential voting apparently was; I have not yet found what kind, it could have been Bucklin.

Given that the context was top two runoff as the existing method, and because the goal of top two runoff is to find a majority winner (in the primary), they needed to be able to make the same claim for IRV. So they made it. Never mind that it was utterly deceptive.

It's possible to argue that IRV is a better method than top two runoff, but that is a quite different issue. In the discussions of the "Ware method" that I'm seeing, back in the second decade of the twentieth century, the term "majority" was used with reasonable accuracy. However, even there, there is some ambiguity. The last round winner for the Ware method, where a "majority" was not found, is the one with the "most votes." Not called a majority. Yet in earlier rounds, they *are* searching for a "majority."

This *could* be interpreted as "majority" -- true majority! -- being used as the standard, canvassing continues until a majority is found or there are only two candidates left, in which case the one with the most votes wins. That's the language....

Note that this was lost in recent implementations. San Francisco stops canvassing when there is a *round* majority, even if a true majority has not been found. There was one election there where the winner didn't have a majority, but *probably* if they had continued to count, the winner would have had one. *But they didn't care!* The winner had a majority of the votes in the round, that was considered enough.

If course, if IRV were used as a primary stage, canvassing would be continued to the end, if a majority hasn't been found. But I don't see any reason to use IRV for a runoff system primary; Bucklin counts all the votes, IRV does not.

By the way, one article I'm reading claims that "the Bucklin system" was first proposed by Condorcet in 1793, and that "it is said it was used for a time in Geneva, Switzerland."

http://books.google.com/books?id=LJaetzppfp0C&pg=PA3&vq=%22preferential+voting%22&dq=bulletins+for+the+constitutional+convention+1917&source=gbs_search_s&cad=0#PPA309,M1

p. 309.

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

They don't say that because their arguments are mostly not designed to appeal to those who have some understanding of voting systems. They are designed to appeal to those with little knowledge, and for this audience, "Condorcet" generally means nothing.

"Majority" means something to these people. Unfortunately, what it means to them and what it means to the FairVote cover story are different. (The "cover story" is what is said when someone who knows what "majority" means and who knows that IRV doesn't find a "majority," necessarily, questions the usage. "Oh, this refers to the majority of votes in the last round. After all, the voters have declined to participate in this 'runoff' so only those who did count. Just like runoff voting! See?"

"But... "

"Oh, maybe more voters voted in the IRV election, voting for the winner, than would have voted for the winner in the runoff election. See, this is more fair."

"But that's not what you said: You said that 'the winner will still be required to get a majority of the votes."

"Silly you! Do you expect us to give you all the details? We meant, of course, the majority of the votes among those who voted for the Republican or the Democrat. That's all that matters, anyway, right? Majority of the 'votes' means 'majority of the important votes,' perfectly normal usage. And, besides, Robert's Rules of Order considers that abstentions don't count in the basis for majority, and those who didn't vote for a Republican or Democrat have effectively abstained, right?"

This is what we get when those who have some knowledge use it to deceive. The ends justify the means. And anyone who disagrees with us is obviously a stooge of the status quo. Go away, don't interfere with our noble cause, all you are is wreckers, anyway, what have you done for voting reform?

I can say what I have *not* done. I have not wrecked and caused the abandonment of the best voting reform in the United States, the closest we have to an advanced voting system, primitive as it is: top two runoff.

In nonpartisan elections, it is becoming clear, it is *better* than IRV; in that context, IRV apparently elects the plurality winner, almost always. Top two runoff results in a "comeback election" in about one out of three runoffs, apparently. That's not happening with the RCV elections in the U.S. (the nonpartisan ones: the easy and relatively predictable vote transfers in partisan elections do result in some comebacks -- but still, often, majority failure.)

Further, the possibility of write-in votes in runoff elections -- which are allowed in some places in the U.S.! -- means that, given sufficient preference strength, Condorcet correction becomes possible. All the supporters of the Condorcet winner have to do is realize that it could happen and write that candidate in. Yes, tricky. That's why it takes "sufficient preference strength."

Preference strength explains a great deal about voting systems that we have missed when we only looked at rankings. Not finding a Condorcet winner doesn't mean much if that winner is one through weak preferences, and the alternative is strongly preferred by those who prefer him or her. The Condorcet supporters will presumably accept the other candidate.

Using advanced methods with the primary and runoff, instead of trying to replace the runoff system with a single ballot method, will give a truly advanced overall system, better than *any* single ballot method.

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