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Modeling turkey raising in strategic nomination simulations

KM
Kristofer Munsterhjelm
Sun, May 12, 2024 11:29 AM

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

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