At 10:19 AM 6/28/2013, Chris Benham wrote:
Jameson,

"...But I don't think it's realistic..."

I don't think any of the "multiple majorities" scenarios are very realistic. Irrespective of how they are resolved, all voters who regard one or more of the viable candidates as unacceptable will have a strong incentive to top-rate all the candidates they regard as acceptable, out of fear that an unacceptable candidate gets a majority before their vote can help all the acceptable ones.

This is probably the opposite of what would happen. The pressure is *heavily* toward majority failure, not multiple majorities. Essentially, the comment assumes that a voter will think that another candidate will get a majority in the first round before one of those acceptable to them. This would indicate that those acceptable are not frontrunners. While we have proposed to *allow* voters to vote for more than one in the first round, that is mostly to avoid tossing ballots for overvoting and to cover the rare situation that a voter actuallyh does not know which of two candidates they prefer. Given Bucklin amalgamation, it is *extremely unlikely* that voters with a significant preference between A and B will vote for both in the first round. The pressure to sincerely distinguish a favorite is high.

That largely vanishes after the first round completes without a majority. Remember, it's rare that there are three viable candidates. So, here, the voter only approves of one of them. Not two. If there is a multiple majority in the first round, it's unlikely to be outside of this set.

What is being said is that the voter strongly disapproves of one viable candidate, so strongly that the voter wants to nail down, absolutely do the utmost to prevent the election of this one, so the voter approves of the other two, in the first round. I'd be amazed if 0.1% of voters actually voted that way, in a real election, outside of this rare situation: the voter only knows the strong dislike for one candidate, and is ignorant of all others, so votes antiplurality. In that case, it would be a fair representation of the voter's preferences. The problem is?

I still say that your suggestion only increases that incentive (even though maybe more psychologically than likely to cause extra actual post-election regret).

We cannot prevent voters from making up irrational reasons to do this or that.

Forget about using the mechanism for resolving the (probably very rare) multiple-majorities scenario to try to gain some whiff of "later-no-harm".

I came to the conclusion that the problem with MAV is that it loses the Range winner, so it damages SU, and that could reasonably commonly occur. Multiple majorities *did* occur in real Bucklin elections, though only in second or third rank. I don't recall all the specifics. Voting for more than one was locked out in original Bucklin. If the problem described *did* occur, that would be a reason for demoting first rank votes that were overvoted, they would get pushed, for Bucklin amalgamation, into second rank. (Which would be much better than considering them spoiled. Or even to third rank, if it were decided to make the top two ranks vote-for-one. But I don't like this. I'd tolerate the first rank limitation, but would still leave a meaning for overvoted first rank, for ballot position assignment, it would be split, i.e., a half-vote each if it was two.)

BTW, the "Majority Choice Approval" Bucklin-like method using ratings (or grading) ballots, simply elected the candidate whose majority tally was the biggest. I also prefer that to your suggestion. It and yours are simpler to count than the Mike Ossipoff idea I support.

That is basically Bucklin-ER. It has the virtue of simplicity. Ranked Approval voting, preponderance of the votes at the majority-found rank, or as a plurality result if all ranks have been collapsed.

EMAV is the same except that the ranks are interpreted as ratings and the multiple-majority or plurality standard is based on a range sum.

That automatically deprecates lower-ranked votes, without eliminating them.
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