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Symmetric play in repeated allocation games

Author

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  • Kuzmics, Christoph

    (Center for Mathematical Economics, Bielefeld University)

  • Palfrey, Thomas

    (Center for Mathematical Economics, Bielefeld University)

  • Rogers, Brian W.

    (Center for Mathematical Economics, Bielefeld University)

Abstract

We study symmetric play in a class of repeated games when players are patient. We show that, while the use of symmetric strategy profiles essentially does not restrict the set of feasible payoffs, the set of equilibrium payoffs is an interesting proper subset of the feasible and individually rational set. We also provide a theory of how rational individuals play these games, identifying particular strategies as focal through the considerations of Pareto optimality and simplicity. We report experiments that support many aspects of this theory.

Suggested Citation

  • Kuzmics, Christoph & Palfrey, Thomas & Rogers, Brian W., 2014. "Symmetric play in repeated allocation games," Center for Mathematical Economics Working Papers 468, Center for Mathematical Economics, Bielefeld University.
  • Handle: RePEc:bie:wpaper:468
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    File URL: https://pub.uni-bielefeld.de/download/2672493/2672494
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Qiang Fu & Qian Jiao & Jingfeng Lu, 2015. "Contests with endogenous entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 387-424, May.
    2. Külpmann, Philipp & Khantadze, Davit, 2016. "Identifying the reasons for coordination failure in a laboratory experiment," Center for Mathematical Economics Working Papers 567, Center for Mathematical Economics, Bielefeld University.
    3. Bosch-Domènech, Antoni & Vriend, Nicolaas J., 2013. "On the role of non-equilibrium focal points as coordination devices," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 52-67.
    4. Riyanto, Yohanes E. & Roy, Nilanjan, 2017. "It's your turn: experiments with three-player public good games," MPRA Paper 76565, University Library of Munich, Germany.
    5. Leo, Greg, 2017. "Taking turns," Games and Economic Behavior, Elsevier, vol. 102(C), pages 525-547.
    6. Luhan, Wolfgang J. & Poulsen, Anders U. & Roos, Michael W.M., 2017. "Real-time tacit bargaining, payoff focality, and coordination complexity: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 102(C), pages 687-699.
    7. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2016. "Efficiency based measures of inequality," Center for Mathematical Economics Working Papers 512, Center for Mathematical Economics, Bielefeld University.
    8. He, Simin & Wu, Jiabin, 2018. "Compromise and Coordination: An Experimental Study," MPRA Paper 84713, University Library of Munich, Germany.
    9. repec:eee:joepsy:v:64:y:2018:i:c:p:49-56 is not listed on IDEAS

    More about this item

    Keywords

    repeated games; symmetry; experiments; focal points;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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