Jameson Quinn wrote:
That's weaker than the FBC. The FBC says you shouldn't have to betray
your favorite to get a result you prefer, not that you shouldn't have to
betray your favorite to get your favorite.
To restate it in Kristofer's terms:
Say an election elects X != Y. Now take a ballot which does not rate Y
top or equal-top. There must be some way to replace that with a ballot
which ranks Y top or equal-top and still get an election which elects
either X or Y.
That is, for any result you can get with favorite betrayal, either you
can get that same result without favorite betrayal, or you can get your
favorite without favorite betrayal.
That may still be incorrect, now that you mention it. Say your honest
preference is A>B>C>D>E=F, and that in the "baseline" case (where you
don't vote A, B, C, or D top), D wins. Then if rearranging your ballot
so that A is at top makes C win, then neither D nor A won after the
rearranging, yet C winning is an outcome you prefer, so that shouldn't
fail the FBC.
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