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Noncooperative Foundations of Stable Sets in Voting Games

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  • Vincent Anesi

    ()
    (University of Nottingham)

Abstract

This note studies the noncooperative foundations of von Neumann- Morgenstern (vN-M) stable sets in voting games. To do so, we study Markov perfect equilibria of a noncooperative legislative bargaining game, based on underlying simple games. The following result emerges from such an exercise: Every stable set of the underlying simple game is the limit set of undominated Markov perfect equilibria of the bargaining game, which form a strategically stable set of equilibria, when voters are suciently farsighted; thus establishing a relationship between vN-M stability and strategic stability in voting games.

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Bibliographic Info

Paper provided by The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham in its series Discussion Papers with number 2007-09.

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Date of creation: Nov 2007
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Handle: RePEc:cdx:dpaper:2007-09

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

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References

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  1. 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.
  2. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Marco Battaglini & Stephen Coate, 2007. "Inefficiency in Legislative Policymaking: A Dynamic Analysis," American Economic Review, American Economic Association, vol. 97(1), pages 118-149, March.
  4. Drew Fudenberg & David K. Levine, 1983. "Subgame-Perfect Equilibria of Finite- and Infinite-Horizon Games," Levine's Working Paper Archive 219, David K. Levine.
  5. DE SINOPOLI, Francesco, . "Sophisticated voting and equilibrium refinements under plurality rule," CORE Discussion Papers RP -1467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. John Duggan & Tasos Kalandrakis, 2009. "A Newton Collocation Method for Solving Dynamic Bargaining Games," Wallis Working Papers WP60, University of Rochester - Wallis Institute of Political Economy.
  7. KOHLBERG, Elon & MERTENS, Jean-François, . "On the strategic stability of equilibria," CORE Discussion Papers RP -716, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Battaglini, Marco & Coate, Stephen, 2007. "A Dynamic Theory of Public Spending, Taxation and Debt," Working Papers 07-04, Cornell University, Center for Analytic Economics.
  9. DE SINOPOLI, Francesco, 1999. "A note on forward induction in a model of representative democracy," CORE Discussion Papers 1999060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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. Marco Battaglini & Thomas Palfrey, 2012. "The dynamics of distributive politics," Economic Theory, Springer, vol. 49(3), pages 739-777, April.
  12. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
  13. 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).
  14. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
  15. 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.
  16. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
  17. 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.
  18. 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.
  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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Citations

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Cited by:
  1. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2013. "Stable Sets for Asymmetric Information Economies," CSEF Working Papers 333, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  2. T. Renee Bowen & Ying Chen & Hülya Eraslan, 2012. "Mandatory Versus Discretionary Spending: the Status Quo Effect," Economics Working Paper Archive 603, The Johns Hopkins University,Department of Economics.
  3. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
  4. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, Oxford University Press, vol. 126(2), pages 947-985.
  5. Vincent Anesi & Daniel J Seidmann, 2012. "Bargaining in Standing Committees," Discussion Papers 2012-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  6. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
  7. Vincent Anesi, 2010. "A New Old Solution for Weak Tournaments," Discussion Papers 2010-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  8. Diermeier, Daniel & Fong, Pohan, 2012. "Characterization of the von Neumann–Morgenstern stable set in a non-cooperative model of dynamic policy-making with a persistent agenda setter," Games and Economic Behavior, Elsevier, vol. 76(1), pages 349-353.

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