First I proposed CD, then I said that it might be too demanding, and
_tentatively_
suggested a replacement. It wasn't a good one.
Here I suggest another replacement for CD:
Tentative replacement for CD:
Supporting definitions:
"The A voters" are the voters to whom A is favorite.
"The B voters" are the voters to whom B is favorite.
"The others" are the candidates other than A and B.
A voter votes sincerely iff s/he doesn't falsify a preference or
fail to vote a preference that the voting system in use would have
allowed hir to vote in addition to those preferences that s/he actually
did vote.
Premise:
The A voters and the B voters are, together, a majority.
They all prefer A and B to the others.
Voting is sincere, except that the B voters refuse to vote A over anyone.
A would win under sincere voting (in other words, had the B voters voted
sincerely
as did everyone else).
Requirement:
Either A wins, or A and B win (tie), or neither A nor B wins.
[end of tentative CD definition]
I know that I don't like what happens in the ABE. Maybe this replacement, today,
is the way to describe ABE with a criterion.
Mike Ossipoff
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