At 10:00 PM 3/5/2010, Dave Ketchum wrote:
On Mar 5, 2010, at 8:34 PM, robert bristow-johnson wrote:
but i *do* think that Approval *does* suggest the possibility of
bullet voting.  even though we're limited to 6 in my county, the
weird way that the Vermont State Senate is elected is that all state
senators are elected at large in your county.  so then more populous
counties have more state senators than smaller ones (they all get at
least 1).  anyway, we vote for up to six out of a zillion candidates
since each party proffers 6 candidates, we have Progs and Greens,
and there are independents.  the six candidates with the most votes
are elected.  what if there is one, maybe two candidates that you
really think should be elected?  i almost never vote for all 6.
usually just 2.  but it's a strategic vote.  and since i didn't hit
the limit, it's practically no different than Approval voting.  i
cannot see how Warren and company claim that it's less strategic
than Condorcet.

Approval voting is a single-winner system. That you don't cast your six votes in plurality at large, with six winners, is a demonstration of the flaws of plurality at larte (and of STV as well), it is not approval voting, which allows more votes than winners. There is a form of approval voting, proportional approval voting, and other forms, that are approval. You can cast just one vote and, provided you don't waste your vote for a loser (!), your vote will be just as effective as multiple votes, but multiple votes, assuming you vote for them all, allows alternate effectiveness. I.e., it's harder for your vote to be wasted.

Approval's excuse for living is to allow voting for more than one,
without encouraging or demanding doing such.

Right. Approval is not a perfect voting system (though in "repeated ballot" without eliminations, seeking a majority, it may be the best, with Range -- approval with fractional votes allowed -- being useful as a variation that might be a bit better.

As to strategic voting, it should be kept in mind that the modern "invention" of Approval voting by Steve Brams was as a "strategy-free" system. The term strategy there was a technical term. Of course there is strategic involved in Approval Voting, as with about any voting system. I.e., an ideal way to vote, that may not be the same as some supposed knee-jerk "sincere vote."

The term strategic meant that the voter gains an advantage by reversing preference. The term was developed for use with ranked voting. Both Approval and Plurality involve placing candidates into Approved and Disapproved sets, but Plurality only allows one candidate in the Approved set. Approval allows any number or even all but one, or even all. (If a majority is required, it is a reasonable vote under some circumstances, to vote for all candidates on the ballot. Or to vote for Anybody But Joe, by voting for all but Joe. Or to vote for None of the Above, by voting only for a write-in candidate, who, with Robert's Rules of Order, anyway, could be literally None of the Above. The vote counts, as all votes should. It's a vote against all the candidates.

Approval is quite clearly an advance over Plurality, and it allows "sincere voting" in that the vote is either purely sincere in the ordinary meaning, or, if the voter chooses the lesser of two evils for, say, two frontrunners, the vote is not *insincere*. It doesn't mean that the voter does not have a preference, it means that the voter has placed both candidates in the Approved set, and that decision is a strategic one (if the voter actually has a preference). Whether we make that decision depends on our perception of the electorate, the election probabilities.

There is a voting method which requires less such consideration, that would, in almost all circumstances, allow simpler sincere voting, and that's Bucklin, which might as well be called Instant Runoff Approval Voting, or, better, Instant Repeated Ballot Approval Voting. ("Runoff" implies candidate elimination, which is what causes the problems with Single Transferable Vote, as Robert's Rules of Order points out)

If you have a sincere preference between two candidates, your favorite (not a frontrunner) and, say, a frontrunner, there is practically no reason in reality to not rank your favorite above the favored frontrunner, with Bucklin. In most Bucklin elections, all the ranks were collapsed, if I'm correct, so it reduced to pure Approval Voting. Later-No-Harm considerations means that you would not rank other candidates below your favorite if your favorite is a frontrunner (most people!) unless your preference strength was actually low. This is quite safe if a majority is required.

It's been overlooked, but it was also a perfectly acceptable strategy, if you were actually willing to accept another candidate, but had a significant preference for your favorite, to rank the other candidate in third rank, leaving the second rank blank. It's fairly clear that some voters, in real Bucklin elections, did, in fact, do that, as I recall. (Basically, more votes showing up in third rank than showed up in second, whereas truncation would produce -- and did normally produce -- the opposite effect.)

The practical reality of Bucklin was that it was a Range method, in effect, and that could be encouraged by using a Range Ballot for it. Very simple, with Range 4. The Bucklin ranks are ratings of 4, 3, 2, and 0. So add the missing rank of 1. It's a disapproved rank, so it won't be used to determine a winner, but it will be used for Range analysis, which might be useful under the following conditions:

Multiple majorities: whether to accept the vote leader or not might depend on Range results. (The alternative would *not* be the Range winner, it would be a runoff.)

Analysis of leading to possible victory declaration without a majority, based on clear evidence (including Range data) that if a runoff were held, the result would be the plurality leader.

It's also possible that Range data could participate in determining the identity of two or three candidates on a runoff ballot. If it's three, then there should be a preferential ballot there, as well. Maybe even if it is two, if write-in votes are allowed. (Very rare thtat this would make a difference, but, obviously, if write-in candidates ever win, or if they ever create a spoiler effect, *and they do, it's happened*, then preferential ballot is in order. Bucklin is much better than Approval, and if Bucklin allows equal ranking in first rank (as well as the lower ranks), it *is* approval voting if the voter prefers to vote that way.

Basic principle: give the voters power to choose how they want their vote to count. And then count all the votes. Even count votes that aren't used to determine the winner, it's rude to suggest and allow voters to vote and then not count their votes! And valuable information is lost.

Bucklin sets up a control device that casts their vote in a series of approval elections, where voters, according to the strength of their preferences, decide where to compromise. If the ballot is Range 4, that's four rounds that might be used. The last round would be counted, and used for various purposes other than direct determination of a winner in the first round, but in a runoff round, it would, in fact, be counted, perhaps, though it would be rare that it would make a difference. Basically, because a plurality result is going to be accepted, that lowest rating is the last chance for a voter who has not voted for either of the top two to cast a vote in that contest. And, with Bucklin, it's a full vote.

(But Okalahoma Bucklin made these fractional votes, which also makes sense, for Range analysis. Oklahoma was thus one of the few places to implement Range Voting! San Francisco, it seems, also tried this. Fractional votes! One of these days, some enterprising student of voting systems will research newspaper archives and find out what happened! The limited story we know is very strange, and quite different from what we'd have expected from other Bucklin implementations, but what if there ended up being only two candidates on the ballot! -- or only one of any substance!)
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