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Solutions for cooperative games with r alternatives

Author

Listed:
  • M.J. Albizuri

    (Department of Applied Economy I, Euskal Herriko Unibertsitatea/Universidad del PaÎs Vasco, Avenida Lehendakari Aguirre 83, E-48015 Bilbao, Spain)

  • J.C. Santos

    (Department of Applied Economy I, Euskal Herriko Unibertsitatea/Universidad del PaÎs Vasco, Avenida Lehendakari Aguirre 83, E-48015 Bilbao, Spain)

  • J.M. Zarzuelo

    (Department of Applied Economy I, Euskal Herriko Unibertsitatea/Universidad del PaÎs Vasco, Avenida Lehendakari Aguirre 83, E-48015 Bilbao, Spain)

Abstract

We consider games with n players and r alternatives. In these games each player must choose one and only one alternative, reaching an ordered partition of the set of players. An extension of the Shapley value to this framework is studied.

Suggested Citation

  • M.J. Albizuri & J.C. Santos & J.M. Zarzuelo, 1999. "Solutions for cooperative games with r alternatives," Review of Economic Design, Springer;Society for Economic Design, vol. 4(4), pages 345-356.
    • Handle: RePEc:spr:reecde:v:4:y:1999:i:4:p:345-356
    Note: Received: 1 November 1997 / Accepted: 24 January 1999
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    Citations

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    Cited by:

    1. Michel Grabisch & Agnieszka Rusinowska, 2010. "A model of influence with an ordered set of possible actions," Theory and Decision, Springer, vol. 69(4), pages 635-656, October.
    2. M. Albizuri & José Zarzuelo, 2000. "Coalitional values for cooperative games withr alternatives," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(1), pages 1-30, June.

    More about this item

    Keywords

    Shapley value; cooperative games with alternatives;

    JEL classification:

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

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