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Strategic Party Formation on a Circle

  • Peeters Ronald
  • Saran Rene
  • Yuksel Ayse Muge

    (METEOR)

We study a spatial model of party formation in which the set of agendas is the unit circle. We characterize the sets of pure-strategy Nash equilibria under the plurality and proportional rules. In both rules, multiple configurations of parties are possible in Nash equilibrium. We refine our predictions using a new notion called “defection-proof” Nash equilibrium. Under the plurality rule, only those Nash equilibria in which either two or three parties exist are defection-proof, whereas multiple parties exist in any defectionproof Nash equilibrium under the proportional rule. These results are mostly consistent with the predictions of Duverger (1954).Keywords: Party Formation; Spatial Model; Plurality Rule; Proportional Rule; Nash Equilibrium; Defection-Proof Nash Equilibrium.

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Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 045.

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Date of creation: 2010
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Handle: RePEc:unm:umamet:2010045
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  1. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65, pages 135.
  2. Tim Besley & Stephen Coate, . "An Economic Model of Representative Democracy," Penn CARESS Working Papers ecf70d639d700dba5327ab0c8, Penn Economics Department.
  3. Jackson, Matthew O. & Moselle, Boaz, 2002. "Coalition and Party Formation in a Legislative Voting Game," Journal of Economic Theory, Elsevier, vol. 103(1), pages 49-87, March.
  4. Massimo Morelli, 2004. "Party Formation and Policy Outcomes under Different Electoral Systems," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 829-853.
  5. Martin J. Osborne & Al Slivinksi, 1995. "A Model of Political Competition with Citizen-Candidates," Department of Economics Working Papers 1995-01, McMaster University.
  6. Martin J. Osborne & Rabee Tourky, 2005. "Party formation in single-issue politics," Working Papers tecipa-174, University of Toronto, Department of Economics.
  7. Levy, Gilat, 2004. "A model of political parties," Journal of Economic Theory, Elsevier, vol. 115(2), pages 250-277, April.
  8. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  9. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  10. Marek Kaminski, 2006. "A General Equilibrium Model of Multi-Party Competition," Social Choice and Welfare, Springer, vol. 26(2), pages 333-361, April.
  11. Gupta, Barnali & Lai, Fu-Chuan & Pal, Debashis & Sarkar, Jyotirmoy & Yu, Chia-Ming, 2004. "Where to locate in a circular city?," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 759-782, June.
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