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A Dynamic Model of Multiparty Competition

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Enriqueta Aragones

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Abstract

We construct a dynamic voting model of three-party competition in order to capture the following facts: voters base their decision on past economic performance of the parties; parties and candidates have different objectives; finally, a candidate while in office can only have a small effect on the economy. The properties that characterize the electoral system are the following: each voter has a single vote to cast and there is a single-winner elected under plurality rule. Given the decision rule of the voters we have sincere voting and, because our voters do not consider the possibility of abstention, all votes are to be cast. We show the existence of equilibrium and the compatibility of the different objectives of parties and candidates. Our model may explain the emergence of ideoloties and shows that in multicandidate elections held under the plurality system, Hotelling's principle of maximum differentiation is no longer satisfied.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1044.

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Date of creation: Apr 1993
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Handle: RePEc:nwu:cmsems:1044

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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  1. Kramer, Gerald H., 1977. "A dynamical model of political equilibrium," Journal of Economic Theory, Elsevier, vol. 16(2), pages 310-334, December. [Downloadable!] (restricted)
  2. Judd, Kenneth L., 1985. "The law of large numbers with a continuum of IID random variables," Journal of Economic Theory, Elsevier, vol. 35(1), pages 19-25, February. [Downloadable!] (restricted)
  3. Eaton, B Curtis & Lipsey, Richard G, 1975. "The Principle of Minimum Differentiation Reconsidered: Some New Developments in the Theory of Spatial Competition," Review of Economic Studies, Blackwell Publishing, vol. 42(1), pages 27-49, January. [Downloadable!] (restricted)
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  4. Itzhak Gilboa & David Schmeidler, 1993. "Case-Based Consumer Theory," Discussion Papers 1025, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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This page was last updated on 2008-11-13.


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