At 02:12 PM 5/14/2010, Jameson Quinn wrote:

Thus, for example, if Bucklin is used in a runoff system with good runoff rules,...


One of the biggest advantages of Bucklin is its simplicity. Don't give that up so easily.

Remember how FairVote was able to convince top two runoff jurisdictions to use a seriously complicated system, IRV, to "save money on runoffs." Bucklin can do it honestly.

This is not against two rounds. Two-round systems have real advantages in terms of legitimacy. However, I find "primary-like" two-round systems better than "runoff-like" ones. That is, you want systems where a marginally motivated voter will show up only for the second, decisive round, not where they'll show up only for the first round.

The problem with this is that it locks in the two-round system. But, in the end, *it's up to the jurisdiction.* I just want them to know the options they have, and they include some quite good ones that will be cheap to count, and easy to understand. Further, when I talk about "good runoff rules" I'm not necessarily insisting that the full rules be implemented at once. They can be "almost the best" rules quite quickly and easily.

So the first round should be used to help inform the voting and ballot design in the second round, but there should still be an ample array of choices in the second round (definitely 3-7, I'd say 4-5). Earlier I gave an example of this kind of system: a plurality-based primary which affects ballot placement and public campaign finance, and which eliminates no-hope also-rans, then a decisive round of Bucklin. Bucklin strategy would be easy given that the information from the first round, and simple strategy advice, would be actually on the ballot.

I wouldn't oppose such a system, but I think many would. Bucklin will find a majority, usually, in a primary. The basic decision to be made is whether or not the primary is before the general election or if, alternatively, there is a runoff is after the election. San Francisco had the latter, Cary, NC had the former.

Many people assume that lower turnout means that results are being manipulated by some oligarchy in a town. Not necessarily. What I've come across is reason to think that lower turnout, if it is not caused by differential access to voting, may actually improve results.

If there is a primary held with the general election, and if a majority is found, there is little reason to hold a runoff. The argument for a runoff being held with the general election would be the possibly low turnout in the primary. If such a system were run for a time with a Bucklin primary (I see no reason not to use Bucklin in the primary, and remember that in a primary bullet voting may be quite common), one could find out how well the primary predicts the general election results and whether or not, therefore, it is necessary to continue the extra election. If not, then the primary might be moved to the general election and rules designed to detect the rarer situation where a reversal might take place in a runoff.

We know that when runoffs involve a major discrepancy in overall approval of two candidates, there is high turnout. I believe that generally the reverse is true: if the turnout in a runoff is not high, it is likely to mean that the voters don't care that much which candidate is election. Only those who care vote. Which, from utility theory, suggests that results may be improved as a result.

What's really exciting to me is the realization that Bucklin incentivizes the voting of a kind of Range ballot that represents sincere utility. It may do this better than Range itself, and thus it may be that Bucklin implementation, particularly if they are three-rank at least, will allow the study of Range in a way not yet possible.

Proposals should be developed for Bucklin/Runoff implementations. Suppose there is a four-rank Bucklin ballot that is well-designed and explained. The fourth rank is a disapproved rank -- preferred to the no-vote default -- this rank is not, in a primary, considered a vote that can elect a candidate, the only function would be to collect better data and to discover a Condorcet winner, if one exists and is shown in the votes, and the division of candidates into five classes should be adequate to detect significant preferences for that purpose.

As a suggestion, if the primary does not find a winner, the most approved candidate (all rounds summed as approval votes) goes to a runoff. But also going into a runoff would be the range winner, based on fractional vote analysis of the same ballots, and a Condorcet winner, which would be any candidate who beats the most approved candidate and the range winner (if the candidate isn't one of these). If the approval, range, and condorcet winner are all the same candidate, but there is no majority, it could be argued that the election would simply complete, but I prefer that the electorate get a better look at the situation, so I'd add an approval runner-up considering the fourth rank as if it were an approved rank. This would usually produce, in fact, only two candidates for the runoff, but could produce as many as three.

I would allow write-ins in the runoff.

This would continue to satisfy the Majority Criterion, and Condorcet compliance, while not complete, would be due to explicit rejection by the electorate, which would know who the Condorcet winner was. But it would also get a Range winner into the runoff.

This sounds complicated, but, in fact, the voting would be simple. It's just Bucklin voting, seeking a majority, and it terminates if it finds one. I've argued that it *might* go to a runoff if there are two majorities (or more), but given the strategic incentives, it's unlikely that any multiple majority doesn't represent actual multiple approval, so I'm fine with the simplicity of the candidate with the most votes wins. It should be understood that with a mature implementation, that is not likely to be common with Bucklin.

The runoff complication is just a matter of doing some math with the results that would already be available, except for the Condorcet winner trick. That would require, not a full matrix, but only a partial one. (If there is a Condorcet winner who is not already selected, this candidate must beat both who have already been selected.

As results are obtained from real elections (with this fully system or a partial implementation), the canvassing process could be tweaked. If it starts out being more inclusive in the runoff, that can be backed off when much data is accumulated, if this data shows that it's not necessary.

There are conditions in a primary where the leader falls short of a majority that nevertheless predict well that the leader would get a solid majority in an immediate runoff. If these can be detected, the expense of a runoff can be avoided.

On the other hand, if a mandatory two-round system is to be used, as Mr. Quinn is suggesting, the primary should be before the general election.
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