Mixed Equilibrium in a Downsian Model With a Favored Candidate
This paper examines competition in the standard one-dimensional Downsian model of two-candidate elections, but where one candidate (A) enjoys an advantage over the other candidate (D). Voters' preferences are Euclidean, but any voter will vote for candidate A over candidate D unless D is closer to her ideal point by some fixed distance δ. The location of the median voter's ideal point is uncertain, and its distribution is commonly known by both candidates. The candidates simultaneously choose locations to maximize the probability of victory. Pure strategy equilibria often fails to exist in this model, except under special conditions about δ and the distribution of the median ideal point. We solve for the essentially unique symmetric mixed equilibrium, show that candidate A adopts more moderate policies than candidate D, and obtain some comparative statics results about the probability of victory and the expected distance between the two candidates' policies.
|Date of creation:||Sep 2000|
|Date of revision:|
|Publication status:||Published: Journal of Economic Theory , 103, 131-161 (2002)|
|Contact details of provider:|| Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125|
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Web page: http://www.hss.caltech.edu/ss
|Order Information:|| Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125|
References listed on IDEAS
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- Adams, James, 1999. "Policy Divergence in Multicandidate Probabilistic Spatial Voting," Public Choice, Springer, vol. 100(1-2), pages 103-22, July.
- Aragones, Enriqueta & Palfrey, Thomas R., 2002.
"Mixed Equilibrium in a Downsian Model with a Favored Candidate,"
Journal of Economic Theory,
Elsevier, vol. 103(1), pages 131-161, March.
- 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.
- Enriqueta Aragonés & Thomas R. Palfrey, 2000. "Mixed equilibrium in a Downsian model with a favored candidate," Economics Working Papers 502, Department of Economics and Business, Universitat Pompeu Fabra.
- Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
- 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.
- 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.
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