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Generic Difference of Expected Vote Share and Probability of Victory Maximization in Simple Plurality Elections with Probabilistic Voters

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  • John W. Patty

    (Carnegie Mellon University)

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    Abstract

    In this paper I examine single member, simple plurality elections with n > 2 probabilistic voters and show that the maximization of expected vote share and maximization of probability of victory are “generically different” in a specific sense. More specifically, I first describe finite shyness (Anderson and Zame (2000)), a notion of genericity for infinite dimensional spaces. Using this notion, I show that, for any policy x in the interior of the policy space and any candidate j, the set of n-dimensional profiles of twice continuously differentiable probabilistic voting functions for which x simultaneously satisfies the first and second order conditions for maximization of j’s probability of victory and j’s expected vote share at x is finitely shy with respect to the set of n-dimensional profiles of twice continuously differentiable probabilistic voting functions for which x satisfies the first and second order conditions for maximization of j’s expected vote share.

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    File URL: http://128.118.178.162/eps/pe/papers/0502/0502006.pdf
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    Bibliographic Info

    Paper provided by EconWPA in its series Public Economics with number 0502006.

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    Length: 25 pages
    Date of creation: 16 Feb 2005
    Date of revision:
    Handle: RePEc:wpa:wuwppe:0502006

    Note: Type of Document - pdf; pages: 25
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    Web page: http://128.118.178.162

    Related research

    Keywords: Equivalence; Genericity; Candidate objectives; Probabilistic voting;

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    1. Anderson Robert M. & Zame William R., 2001. "Genericity with Infinitely Many Parameters," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-64, February.
    2. Hinich, M., 1976. "Equilibrium in Spatial Voting: The Median Voter Result is an Artifact," Working Papers 119, California Institute of Technology, Division of the Humanities and Social Sciences.
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