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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)

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.

Suggested Citation

  • John W. Patty, 2005. "Generic Difference of Expected Vote Share and Probability of Victory Maximization in Simple Plurality Elections with Probabilistic Voters," Public Economics 0502006, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwppe:0502006
    Note: Type of Document - pdf; pages: 25
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/pe/papers/0502/0502006.pdf
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    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, August.
    2. Hinich, Melvin J., 1977. "Equilibrium in spatial voting: The median voter result is an artifact," Journal of Economic Theory, Elsevier, vol. 16(2), pages 208-219, December.
    3. repec:cup:apsrev:v:68:y:1974:i:01:p:135-152_23 is not listed on IDEAS
    4. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Equivalence; Genericity; Candidate objectives; Probabilistic voting;

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • H - Public Economics

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