On the subject of strategic nomination, I think that adding turkey
raising as a category to JGA's two self-interested categories could be
useful. We could also make the tests more general by considering sets of
candidates instead of just individual candidates. So the categories
would be:
If one or more candidates of the initial set drop out, and the winner
changes in a way that the candidates who dropped out all prefer to the
original winner, then the method has a strategic exit incentive in that
election.
If one or more candidates of the reserve set enter the election, and
the winner changes to someone they all prefer, then the method has a
strategic entry incentive in that election.
Consider a candidate A in the initial candidate set, as well as a
subset T of the set of reserve candidates (who can join but haven't
yet). If, when these candidates T are introduced, the winner changes in
a way that A prefers, then the method has a turkey raising incentive by
A in that election.
The method has a turkey raising incentive in an election if there
exists such an initial candidate A and turkey set T.
This would be a kind of candidate analog of nonmonotonicity, because the
presence of A in the initial candidate set should (if the method is
"monotone") push the outcome towards A precisely to the extent that
voters support A. Thus the introduction of someone who A doesn't like
shouldn't draw the outcome closer to A.
-km