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Voting Equilibria in Multi-candidate Elections

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  • John Duggan

    ()

  • Yoji Sekiya

    ()
    (W. Allen Wallis Institute of Political Economy, 107 Harkness Hall, University of Rochester, Rochester, NY 14627-0158)

Abstract

We consider a general plurality voting game with multiple candidates, where voter preferences over candidates are exogenously given. In particular, we allow for arbitrary voter indierences, as may arise in voting subgames of citizen-candidate or locational models of elections. We prove that the voting game admits pure strategy equilibria in undominated strategies. The proof is constructive: we exhibit an algorithm, the “best winning deviation” algorithm, that produces such an equilibrium in finite time. A byproduct of the algorithm is a simple story for how voters might learn to coordinate on such an equilibrium.

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Bibliographic Info

Paper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP52.

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Length: 18 pages
Date of creation: Feb 2008
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Handle: RePEc:roc:wallis:wp52

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Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.

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  1. DE SINOPOLI, Francesco & TURRINI, Alessandro, . "A remark on voters' rationality in a model of representative democracy," CORE Discussion Papers RP -1562, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Dhillon, Amrita & Lockwood, Ben, 2002. " Multiple Equilibria in the Citizen-Candidate Model of Representative Democracy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(2), pages 171-84.
  3. Martin J. Osborne & Al Slivinksi, 1995. "A Model of Political Competition with Citizen-Candidates," Department of Economics Working Papers 1995-01, McMaster University.
  4. Palfrey, Thomas R, 1984. "Spatial Equilibrium with Entry," Review of Economic Studies, Wiley Blackwell, vol. 51(1), pages 139-56, January.
  5. Besley, Timothy & Coate, Stephen, 1997. "An Economic Model of Representative Democracy," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 85-114, February.
  6. James Bergin & Dan Bernhardt, 2004. "Comparative Learning Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 431-465, 05.
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