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Joint games and compatibility

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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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    1. Paola Conconi & Carlo Perroni, 2002. "Issue Linkage and Issue Tie-in in International Negotiations," ULB Institutional Repository 2013/5839, ULB -- Universite Libre de Bruxelles.
    2. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    3. Yaarit Even & Ehud Lehrer, 2014. "Decomposition-integral: unifying Choquet and the concave integrals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 33-58, May.
    4. Guesnerie, R. & Oddou, C., 1979. "On economic games which are not necessarily superadditive : Solution concepts and application to a local public good problem with few a agents," Economics Letters, Elsevier, vol. 3(4), pages 301-306.
    5. Bloch, Francis & de Clippel, Geoffroy, 2010. "Cores of combined games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2424-2434, November.
    6. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    7. Inderst, Roman, 2000. "Multi-issue Bargaining with Endogenous Agenda," Games and Economic Behavior, Elsevier, vol. 30(1), pages 64-82, January.
    8. Ehud Lehrer, 2009. "A new integral for capacities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 157-176, April.
    9. Conconi, Paola & Perroni, Carlo, 2002. "Issue linkage and issue tie-in in multilateral negotiations," Journal of International Economics, Elsevier, vol. 57(2), pages 423-447, August.
    10. Lisandro Abrego & Carlo Perroni & John Whalley & Randall M. Wigle, 2001. "Trade and Environment: Bargaining Outcomes from Linked Negotiations," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 414-428, August.
    11. Yaron Azrieli & Ehud Lehrer, 2007. "Extendable Cooperative Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 1069-1078, December.
    12. Heinrich H. Nax, 2014. "A Note on the Core of TU-cooperative Games with Multiple Membership Externalities," Games, MDPI, vol. 5(4), pages 1-13, October.
    13. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    14. Ignatius J. Horstmann & James R. Markusen & Jack Robles, 2001. "Multi-Issue Bargaining and Linked Agendas: Ricardo Revisited or No Pain No Gain," NBER Working Papers 8347, National Bureau of Economic Research, Inc.
    15. Abrego, Lisandro, et al, 2001. "Trade and Environment: Bargaining Outcomes from Linked Negotiations," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 414-428, August.
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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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