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Characterization of the von Neumann–Morgenstern stable set in a non-cooperative model of dynamic policy-making with a persistent agenda setter

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  • Diermeier, Daniel
  • Fong, Pohan

Abstract

We generalize the dynamic bargaining game of Diermeier and Fong (2011) to arbitrary quota rules to provide a non-cooperative characterization of the von Neumann–Morgenstern stable set. Assuming that players are sufficiently patient and have strict preferences, a pure-strategy stationary equilibrium exists and in any such equilibrium, a policy is a steady state if and only if it is in the stable set. The result provides a non-cooperative foundation of stable sets in settings with dynamic policy-making and a persistent agenda setter.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:gamebe:v:76:y:2012:i:1:p:349-353
    DOI: 10.1016/j.geb.2012.04.002
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    References listed on IDEAS

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    Cited by:

    1. Anesi, Vincent & Duggan, John, 2018. "Existence and indeterminacy of markovian equilibria in dynamic bargaining games," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. , & , J., 2014. "Bargaining over an endogenous agenda," Theoretical Economics, Econometric Society, vol. 9(2), May.
    3. Gersbach, Hans & Britz, Volker, 2018. "Open Rule Legislative Bargaining," CEPR Discussion Papers 12966, C.E.P.R. Discussion Papers.
    4. Rosenthal, Howard & Zame, William R., 2022. "Sequential referenda with sophisticated voters," Journal of Public Economics, Elsevier, vol. 212(C).
    5. Daniel Diermeier & Georgy Egorov & Konstantin Sonin, 2017. "Political Economy of Redistribution," Econometrica, Econometric Society, vol. 85, pages 851-870, May.
    6. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    7. Núñez, Marina & Vidal-Puga, Juan, 2022. "Stable cores in information graph games," Games and Economic Behavior, Elsevier, vol. 132(C), pages 353-367.
    8. Hülya Eraslan & Kirill S. Evdokimov & Jan Zápal, 2022. "Dynamic Legislative Bargaining," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 151-175, Springer.
    9. Vincent Anesi, 2018. "Dynamic Legislative Policy Making under Adverse Selection," Discussion Papers 2018-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    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. 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.
    12. Anesi, Vincent & Duggan, John, 2017. "Dynamic bargaining and stability with veto players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 30-40.
    13. 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.

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    More about this item

    Keywords

    von Neumann–Morgenstern stable set; Legislative bargaining; Status quo; Markov perfect equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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