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Candidate quality in a Downsian Model with a Continuous Policy Space

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  • Enriqueta Aragonés
  • Dimitrios Xefteris

Abstract

This paper characterizes a mixed strategy Nash equilibrium in a one-dimensional Downsian model of two-candidate elections with a continuous policy space, where candidates are office motivated and one candidate enjoys a non- policy advantage over the other candidate. We assume that voters have quadratic preferences over policies and that their ideal points are drawn from a uniform distribution over the unit interval. In our equilibrium the advantaged candidate chooses the expected median voter with probability one and the disadvantaged candidate uses a mixed strategy that is symmetric around it. We show that this equilibrium exists if the number of voters is large enough relative to the size of the advantage.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 529.

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Date of creation: Jan 2011
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Handle: RePEc:bge:wpaper:529

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Keywords: Spatial competition; mixed strategies; candidate quality;

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References

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  1. Hummel, Patrick, 2010. "On the nature of equilibria in a Downsian model with candidate valence," Games and Economic Behavior, Elsevier, vol. 70(2), pages 425-445, November.
  2. Aragones, Enriqueta & Palfrey, Thomas. R., 2000. "Mixed Equilibrium in a Downsian Model With a Favored Candidate," Working Papers 1102, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Adams, James, 1999. " Policy Divergence in Multicandidate Probabilistic Spatial Voting," Public Choice, Springer, vol. 100(1-2), pages 103-22, July.
  4. Roland Kirstein & Georg v. Wangenheim, 2010. "A Generalized Condorcet Jury Theorem with Two Independent Probabilities of Error," MAGKS Papers on Economics 201011, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
  5. Enriqueta Aragones & Thomas R. Palfrey, 2002. "The Effect of Candidate Quality on Electoral Equilibrium: An Experimental Study," UFAE and IAE Working Papers 530.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  6. Ansolabehere, Stephen & Snyder, James M, Jr, 2000. " Valence Politics and Equilibrium in Spatial Election Models," Public Choice, Springer, vol. 103(3-4), pages 327-36, June.
  7. Enriqueta Aragonès & Thomas R. Palfrey, 2004. "Electoral Competition Between Between Two Candidates of Different Quality: The Effects of Candidate Ideology and Private Information," Working Papers 60, Barcelona Graduate School of Economics.
  8. Bernhardt, M. Daniel & Ingerman, Daniel E., 1985. "Candidate reputations and the `incumbency effect'," Journal of Public Economics, Elsevier, vol. 27(1), pages 47-67, June.
  9. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
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Citations

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Cited by:
  1. Xefteris, Dimitrios, 2013. "Equilibrium in a discrete Downsian model given a non-minimal valence advantage and linear loss functions," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 150-153.
  2. Laussel, Didier & Le Breton, Michel & Xefteris, Dimitrios, 2013. "Simple Centrifugal Incentives in Downsian Dynamics," IDEI Working Papers 778, Institut d'Économie Industrielle (IDEI), Toulouse.
  3. Enriqueta Aragones & Dimitrios Xefteris, 2013. "Imperfectly informed voters and strategic extremism," UFAE and IAE Working Papers 938.13, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Xefteris, Dimitrios, 2012. "Spatial electoral competition with a probabilistically favored candidate," Economics Letters, Elsevier, vol. 116(1), pages 96-98.
  5. Dimitrios Xefteris, 2014. "Mixed equilibriums in a three-candidate spatial model with candidate valence," Public Choice, Springer, vol. 158(1), pages 101-120, January.

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