At 09:23 AM 1/8/2010, Stéphane Rouillon wrote:
> Therefore IRV/STV is no better than plurality, but has extra very
> serious flaws, inequities, and vagaries that plurality does not have.

I definitively disagree. Plurality is worst than IRV.
The flaws that IRV does have are real.
But these problems appear very less often than the splitting-vote issue of FPTP.

Stephane, as to abstract theoretical voting systems, naively analyzed, and also as to certain real-world situations -- but not others -- you'd be correct. But notice that Kathy Dopp claimed that IRV is "no better than plurality." That's because, in nonpartisan elections, it appears that IRV closely reproduces the results of plurality. We have tended to think in terms of neat factions, arranged in a spectrum, so that you can predict vote transfer patterns with IRV, but nonpartisan elections don't work that way.

Generally, in nonpartisan elections in the U.S., vote transfers with IRV do not alter the preference order among the remaining candidates. Exceptions may occur when races are very close.

On the other hand, in one-third of nonpartisan top-two runoff elections, which IRV supposedly simulates, the runner-up in the primary goes on to win the runoff, a "comeback election," according to a FairVote study. It simply does not happen with IRV.

If you have top-two runoff as a system in use, and you replace it with IRV, for nonpartisan elections, you might as well replace it with plurality, you will get the same results. That's what is being said.

The recent election in Burlington, Vermont, though, was a partisan election. There, Kiss was trailing Wright in first-preference votes, but Kiss obtained enough vote transfers from Montrose supporters to pass up Wright in the second round of counting. Kiss is Progressive, Wright Republican, and Montrose is a Democrat.

But looking at the actual voting data, which is available, we can see that Montrose was, in fact, the Condorcet winner, and, as it's been pointed out, had a few of the Write supporters voted for Montrose in first place instead of in second, Montrose would have won. In other words, IRV will punish you (as does plurality) for voting your conscience; but with Plurality, it's obvious and everyone would know that voting for a Republican in Burlington would be a wasted vote (where the leading party is Progressive), so they'd have compromised and voted accordingly and Montrose would quite likely have won.

Also, there is good reason to believe that most voters would vote according to the same patterns if the method were Bucklin. The ballot would have been the same, three-rank. With Bucklin, first round results would have been same as IRV, presumably (and assuming that nobody did, with IRV, vote strategically already, we can assume that with the limited experience with IRV, few would have known to do so). Data is from a quite good video Kathy Dopp pointed to, http://www.youtube.com/watch?v=bPCS-zWuel8

candidate       1st     2nd
Montrose        2554    3556
Kiss            2982    1827
Wright          3297    1138
------------------------------
                8843    6521

The ballots show third rank data, but my view is that this isn't meaningful, many voters may actually be thinking that they are voting *against* a candidate by ranking in third place. (There were other minor candidates on the ballot and the data in the video is obviously oversimplified, but it serves as an example.)

As you can see, no candidate gained a majority in first preference. There is serious vote-splitting between Montrose and Kiss, quite likely. With IRV, Montrose is eliminated before the second rank votes for him are counted. That's 3556 votes that weren't counted!

With Bucklin, all the votes are counted up to the ranks necessary to find a majority. The majority is 4422. Adding in the second rank votes, we get

Montrose        6110
Kiss            4809
Wright          4435

It's not even close! Montrose is the first or second choice of roughly three-fourths of the voters. This is Bucklin voting, supremely easy to count, just add up the expressed preferences at each rank. It's Instant Runoff Approval.

It's true that there might not be such heavy usage of second rank with Bucklin (though already 2312 voters "truncated," not expressing a second preference). However, there are two possible ways to use Bucklin.

We can generally assume that the votes in the Burlington election were sincere. They might not stay that way if Burlington Republican voters realize they've been had. Because there are no candidate eliminations in Bucklin, though, supporters of minor candidates can safely vote their conscience in first rank, because their vote will either help their candidate win (unlikely by the conditions) or will cause majority failure or will be moot in any case. There is no need for Favorite Betrayal, as it's called.

What we have in Burlinton is a three party system, with the Republicans being, slightly, the largest. Naturally, they might prefer Plurality, except that they know they won't win, because they'd need more than a third of the voters. I'd expect Burlington to see a lot of runoffs if top-two runoff is used, straight.

But consider top-two runoff with Bucklin used in the primary (and I believe that it would be wise to allow write-ins in the runoff and use Bucklin there too to prevent the spoiler effect).

The voters would have -- would learn that they have -- a choice: add second rank (or third rank) votes if you approve of additional candidates, even though you have some stronger preference, or see a runoff election. The circumstances actually encourage a form of range voting, whether or not you'd add a second or third rank vote depends on *how much* you prefer your favorite over the others. This would amalgamate to show average preference strength against an actual inconvenience. In Bucklin, it's true, if your favorite doesn't win in the first round, your second rank vote can cause your favorite to lose. IRV allows you to think you are avoiding this possibly undesirable outcome, but only because it takes your candidate and eliminates him.

Were the Wright voters in Burlington happy because their vote for Wright was "protected" from "hurting" Wright?

The 2009 Burlington outcome was truly outrageous, and the votes show it. It was a classic center squeeze situation, and the possibility of this is precisely why Robert's Rules of Order criticizes IRV and considers true repeated balloting (without eliminations!) superior. RRO doesn't consider other forms of preferential voting though it notes that they exist. I understand that this is because RRO is a manual of actual practice, not of theoretical recommendations, but there are much, much better voting systems.

Bucklin, to me, has these advantages:

1. It's been widely used in the U.S., about eighty years ago. It was very popular, and much more widely used than the current IRV fad. Why was it dumped? Good question. I wish I knew. Most likely answer: it worked, and some people didn't like that, such as the Minnesota Supreme Court.

2. It's cheap to canvass. Just add up votes, no complicated handling, totals can be summed by precinct easily and transmitted.

3. It preserves the ability to vote for more than one candidate but simultaneously indicate preference, unlike Approval. (Bucklin is really Approval voting with a "virtual runoff" feature, so that approvals are added in as needed.)

4. It satisfies the Majority Criterion, which is politically desirable. It does not satisfy, technically, the Condorcet Criterion, though my sense is that Condorcet failure would be rare and with low preference strength.

Bucklin would have allowed the Republican voters in Burlington to vote for Wright without suffering the consequential loss of their second choice to their lowest preference. Someone should tell them!

I think it's worth looking at how voting strategy might work. Some candidates might encourage their supporters not to add lower ranked votes for their major opponent. But we already see that many of the voters in Burlington did not vote the standard politically predictable patterns. We had some Wright supporters voting second rank for Kiss. Did that mean that they really preferred Kiss to Montrose. Maybe. Or they believed that this would somehow help Wright. Likewise, we had Kiss voters voting second rank for Wright. But in both cases these numbers were fairly small.

I would indeed expect truncation to increase a bit with Bucklin, maybe even a lot. However, not enough, I'm practically certain, to alter the result. Second rank voting would have had to decline by 1689 votes for Montrose not to gain a majority, from his 3556 second-rank votes as shown. He'd still have a plurality. If a majority were required, he'd be in the runoff, certainly (whereas with a vote-for-one primary, he might be eliminated).

If runoffs are held when there is majority failure, voters should know that they should not vote for a candidate, at any rank, unless they prefer the election of that candidate to a runoff being held (with its costs, inconvenience, and risks). Voters should also be able to leave lower ranks blank, deferring the counting of a lower ranked vote until later in the process. (It's a little more protection against "harming your favorite.") They should also be able to vote for more than one candidate at any rank, for reasons I won't explain here, but it is a good strategy if you really don't have a strong preference between two candidates. But, of course, they should never be able to vote more than once for any given candidate, should they mark the same candidate in lower ranks, those additional marks would simply be disregarded, they should not invalidate the ballot. A vote for a candidate will be counted at the highest rank expressed....

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

Reply via email to