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A value for cooperative games with a coalition structure

Author

Listed:
  • Emilio Calvo

    (ERI-CES)

  • Esther Gutierrez

    (University Pais Vasco)

Abstract

A value for games with a coalition structure is introduced, where the rules guiding the cooperation among the members of the same coalition are different from the interaction rules among coalitions. In particular, players inside a coalition exhibit a greater degree of solidarity than they are willing to use with players outside their coalition. The Shapley value [Shapley, 1953] is therefore used to compute the aggregate payoffs of the coalitions, and the Solidarity value [Nowak and Radzik, 1994] to obtain the payoffs of the players inside each coalition.

Suggested Citation

  • Emilio Calvo & Esther Gutierrez, 2011. "A value for cooperative games with a coalition structure," Discussion Papers in Economic Behaviour 0311, University of Valencia, ERI-CES.
    • Handle: RePEc:dbe:wpaper:0311
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    File URL: https://www.uv.es/erices/RePEc/WP/2011/0311.pdf
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    Cited by:

    1. Álvarez-Mozos, Mikel & Hellman, Ziv & Winter, Eyal, 2013. "Spectrum value for coalitional games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 132-142.
    2. Emilio Calvo & Esther Gutiérrez, 2013. "The Shapley-Solidarity Value For Games With A Coalition Structure," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1-24.
    3. Julián Costa & Ignacio García-Jurado, 2013. "Coalitional Values And Cost Allocation Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-8.

    More about this item

    Keywords

    Coalitional value; Shapley value; Owen value; Solidarity value;
    All these keywords.

    JEL classification:

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

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