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Noncooperative Foundations of Stable Sets in Voting Games

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Author Info
Vincent Anesi () (University of Nottingham)

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Abstract

This note investigates the noncooperative foundations of von Neumann-Morgenstern (vN-M) stable sets in voting games. To do so, we study subgame perfect equilibria of a noncooperative legislative bargaining game, based on underlying simple games. The following results emerge from such an exercise: Every stable set of the underlying simple game is the limit set of undominated pure-strategy Markov perfect equilibria, and of strategically stable sets of undominated subgame perfect equilibria of the bargaining game with farsighted voters.

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File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_551.pdf
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Publisher Info
Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 551.

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Length: 15 pages
Date of creation: May 2009
Date of revision:
Handle: RePEc:roc:rocher:551

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Postal: UNIVERSITY OF ROCHESTER, CENTER FOR ECONOMIC RESEARCH, DEPARTMENT OF ECONOMICS, HARKNESS 231 ROCHESTER NEW YORK 14627 U.S.A.

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Related research
Keywords: Legislative bargaining; committee; strategic stability; stable set.;

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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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. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June. [Downloadable!] (restricted)
  2. John Duggan & Tasos Kalandrakis, 2007. "Dynamic Legislative Policy Making," Wallis Working Papers WP45, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  3. DE SINOPOLI, Francesco & TURRINI, Alessandro, 1999. "A remark on votersÕ rationality in Besley and coate model of representative democracy," CORE Discussion Papers 1999027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  4. Le Breton, M. & Weber, S., 1991. "A Note on the Core and von Neumann-Morgenstern Solutions of Simple Games," Papers 91-12, York (Canada) - Department of Economics.
  5. Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December. [Downloadable!] (restricted)
    Other versions:
  6. Marco Battaglini & Stephen Coate, 2006. "A Dynamic Theory of Public Spending, Taxation and Debt," NBER Working Papers 12100, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  7. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-90, November. [Downloadable!] (restricted)
  8. De Sinopoli, Francesco, 2004. "A note on forward induction in a model of representative democracy," Games and Economic Behavior, Elsevier, vol. 46(1), pages 41-54, January. [Downloadable!] (restricted)
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  9. 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)
  10. Marco Battaglini & Stephen Coate, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," NBER Working Papers 11495, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Battaglini, Marco & Palfrey, Thomas R., 2007. "The dynamics of distributive politics," Working Papers 1273, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  12. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
  13. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February. [Downloadable!] (restricted)
  14. Vincent Anesi, 2006. "Committees with Farsighted Voters: A New Interpretation of Stable Sets," Social Choice and Welfare, Springer, vol. 27(3), pages 595-610, December. [Downloadable!] (restricted)
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