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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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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
Contact details of provider: Postal: University Park, Nottingham NG7 2RD
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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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  1. 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).
  2. Pohan Fong, 2008. "Endogenous Limits on Proposal Power," Discussion Papers 1465, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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  9. 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.
  10. Marco Battaglini & Stephen Coate, 2005. "Inefficiency in Legislative Policy-Making: A Dynamic Analysis," NBER Working Papers 11495, National Bureau of Economic Research, Inc.
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  13. 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.
  14. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Hillas, John, 1990. "On the Definition of the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 58(6), pages 1365-90, November.
  16. 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.
  17. 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).
  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. 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).
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Cited by:

  1. 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.
  2. Vincent Anesi, 2010. "A New Old Solution for Weak Tournaments," Discussion Papers 2010-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  3. T. Renee Bowen & Ying Chen & H?lya Eraslan, 2014. "Mandatory versus Discretionary Spending: The Status Quo Effect," American Economic Review, American Economic Association, vol. 104(10), pages 2941-74, October.
  4. Vincent Anesi & Daniel J. Seidmann, 2011. "Bargaining over an Endogenous Agenda," Discussion Papers 2011-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  5. 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.
  6. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
  7. Tasos Kalandrakis, 2014. "Pareto efficiency in the dynamic one-dimensional bargaining model," Wallis Working Papers WP66, University of Rochester - Wallis Institute of Political Economy.
  8. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, Oxford University Press, vol. 126(2), pages 947-985.
  9. 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.

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