A spatial voting model where proportional rule leads to two-party equilibria
AbstractIn 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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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2000037.
Date of creation: 00 Jul 2000
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Voting; Proportional Rule; Nash Equilibria.;
Other versions of this item:
- Francesco Sinopoli & Giovanna Iannantuoni, 2007. "A spatial voting model where proportional rule leads to two-party equilibria," International Journal of Game Theory, Springer, vol. 35(2), pages 267-286, January.
- Francesco De Sinopoli & Giovanna Iannantuoni, 2003. "A Spatial Voting Model Where Proportional Rule Leads to Two-Party Equilibria," CEIS Research Paper 31, Tor Vergata University, CEIS.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
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