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Noncooperative Foundations of Stable Sets in Voting Games

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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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  • Vincent Anesi, 2009. "Noncooperative Foundations of Stable Sets in Voting Games," RCER Working Papers 551, University of Rochester - Center for Economic Research (RCER).
  • Handle: RePEc:roc:rocher:551
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    1. 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.
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    Cited by:

    1. repec:the:publsh:2215 is not listed on IDEAS
    2. Marina Agranov & Christopher Cotton & Chloe Tergiman, 2016. "Persistence of Power: Repeated Multilateral Bargaining," Working Papers 1374, Queen's University, Department of Economics.
    3. Anesi, Vincent & Duggan, John, 2018. "Existence and indeterminacy of markovian equilibria in dynamic bargaining games," Theoretical Economics, Econometric Society, vol. 13(2), May.
    4. 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 2941-2974, October.
    5. Anesi, Vincent & Seidmann, Daniel J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    6. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2015. "Stable sets for asymmetric information economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 137-154, March.
    7. Vincent Anesi, 2012. "A new old solution for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 919-930, October.
    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.
    9. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
    10. Hannu Vartiainen, 2015. "Dynamic stable set as a tournament solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 309-327, September.
    11. Duggan, John, 2017. "Existence of stationary bargaining equilibria," Games and Economic Behavior, Elsevier, vol. 102(C), pages 111-126.
    12. Wioletta Dziuda & Antoine Loeper, 2016. "Dynamic Collective Choice with Endogenous Status Quo," Journal of Political Economy, University of Chicago Press, vol. 124(4), pages 1148-1186.
    13. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    14. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    15. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, Oxford University Press, vol. 126(2), pages 947-985.
    16. Vincent Anesi & John Duggan, 2015. "Dynamic Bargaining and External Stability with Veto Players," Discussion Papers 2015-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    17. repec:eee:gamebe:v:103:y:2017:i:c:p:30-40 is not listed on IDEAS
    18. 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.

    More about this item

    Keywords

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

    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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