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A Spatial Voting Model Where Proportional Rule Leads to Two-Party Equilibria

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Author Info
Francesco De Sinopoli () (Universidad Carlos III de Madrid - Department of Economics)
Giovanna Iannantuoni () (Universidad Carlos III de Madrid - Department of Economics)

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Abstract

n this paper we show that in a simple spatial model where the government is chosen under strict proportional rule, if the outcome function is a linear combination of parties' positions, with coefficient equal to their share of votes, essentially only a two-party equilibrium exists. The two parties taking a positive number of votes are the two extremist ones. Applications of this result include an extension of the well-known Alesina and Rosenthal model of divided government as well as a modified version of Besley and Coate's model of representative democracy. Different outcome functions are then analyzed.

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Paper provided by Tor Vergata University, CEIS in its series CEIS Research Paper with number 31.

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Length: 26
Date of creation: 01 Aug 2003
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Handle: RePEc:rtv:ceisrp:31

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Postal: CEIS - Centre for Economic and International Studies - Faculty of Economics - University of Rome "Tor Vergata" - Via Columbia, 2 00133 Roma
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Related research
Keywords: Voting; Proportional Rule; Nash Equilibria;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Ignacio OrtuÓo-OrtÎn, 1997. "A spatial model of political competition and proportional representation," Social Choice and Welfare, Springer, vol. 14(3), pages 427-438. [Downloadable!] (restricted)
  2. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer, vol. 17(4), pages 655-672. [Downloadable!] (restricted)
  3. 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. [Downloadable!]
  4. Alesina, Alberto & Rosenthal, Howard, 2000. "Polarized platforms and moderate policies with checks and balances," Journal of Public Economics, Elsevier, vol. 75(1), pages 1-20, January. [Downloadable!] (restricted)
  5. Austen-Smith, David & Banks, Jeffrey., 1987. "Elections, Coalitions, and Legislative Outcomes," Working Papers 643, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  6. Gene M. Grossman & Elhanan Helpman, 1996. "Competing for Endorsements," Harvard Institute of Economic Research Working Papers 1784, Harvard - Institute of Economic Research.
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  7. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-41, November. [Downloadable!] (restricted)
  8. 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.
    Other versions:
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Massimo Morelli, 2001. "Party Formation and Policy Outcomes under Different Electoral Systems," Economics Working Papers 0018, Institute for Advanced Study, School of Social Science. [Downloadable!]
  2. Francesco De Sinopoli & Giovanna Iannantuoni, 2002. "Some Results On Strategic Voting And Proportional Representation With Multidimensional Policy Space," Economics Working Papers we025721, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  3. Humberto Llavador, 2005. "Voting with Preferences over Margins of Victory," Economics Working Papers 900, Department of Economics and Business, Universitat Pompeu Fabra, revised Nov 2006. [Downloadable!]
    Other versions:
  4. Humberto Llavador, 2001. "Electoral Platforms, Implemented Policies, and Abstention," Economics Working Papers 571, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2004. [Downloadable!]
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  5. Herrmann, Michael, 2008. "Expectations about Coalitions and Strategic Voting under Proportional Representation," Sonderforschungsbereich 504 Publications 08-28, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  6. SLINKO, Arkadii & WHITE, Shaun, 2006. "On the Manipulability of Proportional Representation," Cahiers de recherche 2006-20, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  7. De Sinopoli, F. & Iannantuoni, G., 2005. "Extreme Voting under Proportional Representation: The Multidimensional Case," Cambridge Working Papers in Economics 0531, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
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