At 10:03 PM 5/26/2010, robert bristow-johnson wrote:

On May 26, 2010, at 8:19 PM, Dave Ketchum wrote:
[about IRV]
    Backers make a big deal of "majority" - but it is of the final
stacks, not of all ballots.

what it is, is *a* majority.  for a particular pair that is left
standing after the other candidates are eliminated by the IRV STV
rules (which is the essential problem with IRV).  assuming no ties,
each pair of candidates drawn from the candidate pool has an intrinsic
majority.  the question is: which majority is the salient majority?

Once upon a time, there would have been no question. "Majority" has a few meanings, but it never meant "majority of all those voting for the top two, excluding all other ballots cast in the same election." Robert's Rules calls it, in the counting rules, just "majority," and that allowed IRV enthusiasts to believe that they meant last-round majority, if they didn't read too carefully, and FairVote went on promoting this even after it was pointed out that Robert's Rules, in the instructions for the clerk, mentions that voters should be told that if they don't rank all the candidates, there might be a failure to get a majority, and the election would have to be repeated. It is totally explicit.

In San Francisco, the voter information pamphlet on the RCV question said that the "candidates would still be required to gain a majority of the votes." It didn't say "majority of the votes for the top two, left after eliminations." It said "majority of the votes," and unless someone read the question carefully, they could easily think that "majority of the votes" meant majority of *all* the votes. My guess is that the people on the ballot information committee thought that too. They had simply swallowed FairVote propaganda, which hasn't been really explicit about this majority thing, most of the time.

I've pointed out that this concept of "last round majority" could be used to claim that there is a very simple change to Plurality that allows it to always find a majority. This is far cheaper than IRV and produces the same results, almost all the time, in nonpartisan elections.

It's simply. Just use the STV elimination and count it as if it were IRV. Eliminate the lowest vote-getter in each round, and ballots which only have a vote for that candidate, until a candidate left has a majority of the remaining votes. If you want a more sophisticated version, allow the ballot to approve multiple candidates. Presto! A majority in every election.

Now, if that isn't a majority, why is the IRV majority a majority?

In fact, we can take the process one step further. Wouldn't it be desirable to have unanimity in every election? Very simple to do, eh?


    Suppose Tom, Dick, and Harry share all the top rank votes, and
Joe gets all the 2nd rank.  Then if raced in pairs Joe would get
twice the votes of each of them - but Joe is invisible in IRV.

or, we could change Joe's name to "Andy" and Tom and Dick to "Bob" and
"Kurt", leave Harry out of it, and this hypothetical becomes less
hypothetical.

Cool. Leave Hairy out of it. Much easier.

David didn't exactly express this well. He means that Joe could be the unanimous choice of every voter in second rank, and lose, simply because the first rank votes of Joe were less than those of Tom and Dick. Those first rank votes could be almost equally divided, so we have an IRV winner based on one-third of the vote (suppose the Joe voters truncate), whereas Joe would beat that candidate two to one in a direct face-off. That's horrible performance. To be sure, that's extreme. The situation in Burlington wasn't that bad, just an ordinary IRV failure to respect a majority position, in favor of the Democrat, who would have beaten all the other candidates in pairwise races, and probably would have won under Bucklin, as well. Or Approval or Range, my guess.
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