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Noncooperative Foundations of Stable Sets in Voting Games

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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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
Contact details of provider: Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.

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  1. Marco Battaglini & Stephen Coate, 2008. "A Dynamic Theory of Public Spending, Taxation, and Debt," American Economic Review, American Economic Association, vol. 98(1), pages 201-36, March.
  2. John Duggan & Tasos Kalandrakis, 2011. "A Newton collocation method for solving dynamic bargaining games," Social Choice and Welfare, Springer, vol. 36(3), pages 611-650, April.
  3. Francesco De Sinopoli, 2003. "A Note on Forward Induction in a Model of Representative Democracy," CEIS Research Paper 21, Tor Vergata University, CEIS.
  4. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer, vol. 17(4), pages 655-672.
  6. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
  7. Pohan Fong, 2008. "Existence and Computation of Pure-strategy Equilibria in Models of Legislative Bargaining with Reconsideration," Discussion Papers 1466, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
  9. 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.
  10. Daniel Diermeier & Pohan Fong, 2009. "Endogenous Limits on Proposal Power," Discussion Papers 1464, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Battaglini, Marco & Coate, Stephen, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," Papers 08-09-2005, Princeton University, Research Program in Political Economy.
  12. John Duggan & Tasos Kalandrakis, 2007. "Dynamic Legislative Policy Making," Wallis Working Papers WP45, University of Rochester - Wallis Institute of Political Economy.
  13. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
  14. Drew Fudenberg & David K. Levine, 1983. "Subgame-Perfect Equilibria of Finite- and Infinite-Horizon Games," Levine's Working Paper Archive 219, David K. Levine.
  15. 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.
  16. 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.
  17. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
  18. DE SINOPOLI, Francesco & TURRINI, Alessandro, 1999. "A remark on voters’ rationality in Besley and coate model of representative democracy," CORE Discussion Papers 1999027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  19. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-90, November.
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