At 12:24 AM 9/10/2005, Dave Ketchum wrote:
Approval gets mentioned so often that I comment up front:
Approval as the method. Simple, but a loser because I too often come up with something like: I WANT Nader, but I cannot tolerate Bush - so far, so good - But, Nader is not a likely winner so I WANT to show liking Kerry less than Nader but more than Bush. With this common desire I am ready to reject Approval as an acceptable method.

Doesn't it depend on your options? If the option is the status quo or Approval, would you still reject Approval?

Approval has the singular advantage of requiring no ballot changes, only a tweak of the election rules: simply stop discarding overvoted ballots.

As to what you want, i.e., to indicate preference for Nader over Kerry, would you be consoled by the fact that Nader would, under Approval, likewise share in increased votes from those who preferred Kerry but thought Nader acceptable? Approval would be, for third parties, a *drastic* improvement in the situation. Would Condorcet be better? Maybe. Maybe not. Condorcet would indeed allow you to express your preference, but in simple Condorcet there is no indication of approval and no indication of degree of separation of preference. A small preference may have the same vote pattern as a drastic difference, between love and abhorrence. Besides, what is the purpose of elections?

It is not to express your preference, per se, it is to select an officeholder. Preference, approval, ratings, are *means* which may be used in this process. What qualifies an officeholder?

As I have written here and elsewhere, there are two philosophies about this: one is that the candidate with the broadest approval should be elected, the other is that the most popular candidate should be elected. Note that in a polarized multiparty election, the "most popular candidate," a Condorcet winner, might actually be preferred by much less than a majority of voters. It is easiest to see with truncated votes:

30: A
20: B
20: C
20: D
10: E

Under Condorcet rules, A wins, with 30 pairwise victories over all other candidates.

I'm not arguing against Condorcet, just pointing out how different the two philosophies are. Were the same election run Approval, A would also win; Approval voting is more likely to encourage multiple votes; but we really don't know, there is not very much experience on which to base predictions.

Approval to resolve Condorcet cycles. Worth considering, but I question the explaining, the doing, and the counting being worth the pain.

Condorcet is complicated to count. Once you are doing that, Approval cutoffs add very little complication, and greatly increase the ranking information. (It is equivalent in complexity to adding one candidate to the ballot.) A>>B>C>D has a meaning quite a bit different from A>B>C>>D. Elections are not only used to elect officials, but they also indicate the degree of support an official enjoys, which should theoretically encourage a candidate elected with narrow support to tread more lightly than one elected with a true mandate. Approval, even if it does not determine the winner except in the presence of a Condorcet cycle, probably a rare occurrence.


Each voter ranks candidates, from best to worst.  Ranking two candidates
as  equally liked is permitted.  Truncation is permitted - acceptable to
omit the least liked candidates as equally disliked.

Note that if equal ranking is permitted, the method is an Approval method. Approval is a ranked method where only two ranks are allowed: Yes or the implied No. (Some Approval forms explicitly have Yes or No votes for each candidate, but these lose the utter simplicity of basic Approval, and then raise the spectre of what one does with the blanks, a matter which seems to be of considerable controversy.)

I insist on permitting truncation because forcing voters to go beyond their desires gets noise rather than information - when some theorist demands that voters study rejects in more detail, I recommend more effort in sorting out which possible winner is more attractive.

Not permitting truncation would involve considering ballots as spoiled which are not complete, I think I remember reading that this is actually done in some countries. Personally, I find it just as offensive as spoiling ballots because the voter marked too many candidates.... Definitely, truncation should be allowed, and should have a simple and rational meaning.

There are two possible meanings: truncation on a ranked ballot means that the voter ranks the candidate below all ranked candidates, and equally with all other unranked candidates. If it is an Approval method, an unmarked candidate would similarly be considered not approved.

The other meaning possible would be that truncation is an abstention in every pairwise consideration of the unranked candidate. The consequences and implications of this are, however, problematic, and I think voters would not expect this. Presently, not marking a candidate is effectively a vote against that candidate (as long as the voter votes for at least one). Turning that into an abstention would be confusing.


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