On May 27, 2010, at 1:29 AM, Dave Ketchum wrote:

On May 27, 2010, at 12:12 AM, Abd ul-Rahman Lomax wrote:
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,

between two candidates, there is always a "simple majority" (not much dispute to meaning here, plurality=majority) unless they tie. the whole point is that in determining the popular champion (we don't make candidates arm wrestle or take written exams that we score and award the office to the winner) we say that Candidate A is a better choice than Candidate B if more of us prefer Candidate A to B than those that prefer the reverse. so if it were the case that only A and B were in the running, then A is elected and B is not elected. that's an axiom. everybody (except the Range folks) agrees with that. everyone's vote has equal weight (which is not the case with Range), there is no strategy to consider (if it's just A and B), no one has to worry about how *much* they prefer one candidate over the other.

now it *might* be that (in a multi-candidate race) a third candidate (C) is preferred to either A or B, so the majority referred to above might no longer mean that Candidate "A is elected" (because C should be), but the other half of the conclusion remains:


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1. If a majority of voters agree that Candidate A is a better choice than Candidate B, then Candidate B is not elected.

that's "majority rule" and that rule often gets violated with FPTP, even with delayed TTR, and even with IRV. they *all* fail (sometimes) in a multi-candidate race.

introducing Candidate C might change the election if voters think that C is better than A or B, but the premise that a majority of voters agree that A is better than B is not reversed with C is in the picture or not (IIA).

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2. If a majority of voters agree that Candidate A is a better choice than Candidate B, then independent of the presence of Candidate C, Candidate B is not elected (over Candidate A).

that's IIA (spoiler or "spolier-lite") and FPTP, TTR, and IRV sometimes fail that principle too. of course this is not a problem in a two-candidate race.

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3. Voters should not be called upon to vote strategically. Voters should not have to worry that voting sincerely for their favorite candidate might cause the election of their least favorite candidate.

i dunno what to call this, but it's something like LNH applied to one's broader political interest. again, in a multi-candidate race, FPTP, TTR, IRV have been shown to fail this. the IRV proponents in Burlington have not been able recognize this, but it is in fact the case for the "GOP Prog-haters" that found out that voting for their favorite candidate (GOP) actually *caused* the election of their least favorite (Prog).

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4. Voters should not be called upon to vote strategically. Voters should not have to worry that voting sincerely for their favorite candidate might cause that candidate to lose.

this is non-monotonicity. i, personally, don't have a problem with non-monotonicity that happens to a non-Condorcet winner (because i don't think the non-CW should be winning anyway), but this anomaly was also demonstrated in the Burlington IRV in 2009. it's not a problem with FPTP.

these first four principles all have to do with avoiding nasty anomalies. the following two are more about "election policy", but are also important.

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5. Election policy that reduces convenience for voters also reduces voter turnout. Two-round runoff is decidedly less convenient than settling the election on a single Election Day and fewer voters are expected to return to the polls and vote in the runoff. Electing a candidate with reduced voter turnout cannot be considered to be as democratic or as indicative of the will of the people as electing a candidate with the "full" (or maximum) turnout on Election Day.

TTR fails this decidedly, IRV fulfills this decidedly.

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6. Precinct summability: It should not be necessary to transmit a copy of each and every ballot to a central tabulation facility because of the necessary logistics and the risk of vote tampering in such transmission. The vote counting should be done in a de- centralized manner (at the precinct level) with subtotals both transmitted upward to the central authority (for a statewide or nationwide election) *and* announced to the media and other interested parties at a local level for these subtotals to be independently totaled.

IRV fails this decidedly (if there are any more than 3 candidates and "Write In" must count as one of them), FPTP fulfills this decidedly.

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now ask yourself the question whether or not Condorcet satisfies these criteria (assuming a CW exists).


...

  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.

With what I said of "2nd rank", every voter is exactly as much a "Joe voter" as any other.
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.

Seems neater to have 3 candidates each getting 1/3 of the top rank - and thus none winning on the first count.


David didn't exactly express this well.

my only point was that we don't need (to illustrate the point) hypothetical Toms, Dicks, Harrys, and Joes. in Burlington in 2009, the Condorcet Winner, that was not the IRV winner, blew away the Plurality Winner and the IRV Winner (who were the two candidates in the IRV final round) when 1st *and* 2nd-choice votes were counted. he really was quite popular but came in 3rd, as far as 1st-choice votes were concerned.

--

r b-j                  [email protected]

"Imagination is more important than knowledge."




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