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When Winning is the Only Thing: Pure Strategy Nash Equilibria in a Three-Candidate Spatial Voting Model

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  • Richard Chisik

    ()
    (Department of Economics, Ryerson University, Toronto, Canada)

  • Robert J. Lemke

    ()
    (Department of Economics, Lake Forest College, Lake Forest, Illiniois)

Abstract

It is well-known that there are no pure strategy Nash equilibria (PSNE) in the standard three-candidate spatial voting model when candidates maximize their share of the vote. When all that matters to the candidates is winning the election, however, we show that PSNE do exist. We provide a complete characterization of such equilibria and then extend our results to elections with an arbitrary number of candidates. Finally, when two candidates face the potential entrant of a third, we show that PSNE no longer exist, however, they do exist when the number of existing candidates is at least three.

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Bibliographic Info

Paper provided by Ryerson University, Department of Economics in its series Working Papers with number 021.

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Length: 19 pages
Date of creation: Aug 2010
Date of revision:
Handle: RePEc:rye:wpaper:wp021

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Keywords: Voting; spatial equilibrium; location models; entry.;

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  1. Palfrey, Thomas R, 1984. "Spatial Equilibrium with Entry," Review of Economic Studies, Wiley Blackwell, vol. 51(1), pages 139-56, January.
  2. Roger B. Myerson & Robert J. Weber, 1988. "A Theory of Voting Equilibria," Discussion Papers 782, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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