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A spatial voting model where proportional rule leads to two-party equilibria

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Author Info
DE SINOPOLI, Francesco
IANNANTUONI, Giovanna
,

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Abstract

In 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 coefficients equal to their share of seats, only a two-party voting equilibrium basically 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's model of divided government as well as a modified version of Besley and Coate's model of representative democracy. This result cannot be extended to a general outcome function but, however, when the policy is determined by the two leading parties, in pure strategies, only two-party equilibria can emerge. Analogous result holds for coalitions of parties.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2000037.

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Date of creation: 01 Jul 2000
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Handle: RePEc:cor:louvco:2000037

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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

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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. 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)
  2. 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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  3. 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)
  4. 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!]
  5. Alesina, Alberto & Rosenthal, Howard, 1996. "A Theory of Divided Government," Econometrica, Econometric Society, vol. 64(6), pages 1311-41, November. [Downloadable!] (restricted)
  6. 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!]
  7. 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)
  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.
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(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. Francesco De Sinopoli & Giovanna Iannantuoni, 2005. "Extreme Voting Under Proportional Representation:The Multidimensional Case," Economics Working Papers we053421, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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  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!]
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  4. 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!]
  5. SLINKO, Arkadii & WHITE, Shaun, 2006. "On the Manipulability of Proportional Representation," Cahiers de recherche 2006-20, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  6. 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!]
  7. 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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