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Joint games and compatibility

Author

Listed:
  • Hirbod Assa
  • Sheridon Elliston
  • Ehud Lehrer

Abstract

We introduce the concepts of joint games and compatibility. In a joint game, members of the grand coalition have the option to split and participate in different underlying games, thereby maximizing their total worths. In order to determine whether the grand coalition will remain intact, we introduce the notion of compatibility of these games. A set of games is compatible if the core of the joint game is non-empty. We find a necessary and sufficient condition for compatibility. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • Hirbod Assa & Sheridon Elliston & Ehud Lehrer, 2016. "Joint games and compatibility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 91-113, January.
    • Handle: RePEc:spr:joecth:v:61:y:2016:i:1:p:91-113
    DOI: 10.1007/s00199-015-0880-0
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    References listed on IDEAS

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    Cited by:

    1. M. G. Fiestras-Janeiro & I. García-Jurado & A. Meca & M. A. Mosquera, 2020. "On benefits of cooperation under strategic power," Annals of Operations Research, Springer, vol. 288(1), pages 285-306, May.
    2. Lehrer, Ehud & Teper, Roee, 2020. "Allocation in multi-agenda disputes: A set-valued games approach," Games and Economic Behavior, Elsevier, vol. 122(C), pages 440-452.

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    More about this item

    Keywords

    Joint game; Compatibility; Cooperative games ; Core; Concave integral; C71;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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