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The solutions for multi-choice games: TU games approach

Author

Listed:
  • Yan-An Hwang

    (Department of Applied Mathematics, National Dong Hwa University, Taiwan)

  • Yu-Hsien Liao

    (Department of Applied Mathematics, National Dong Hwa University, Taiwan)

Abstract

In this note we link the solutions for multi-choice games proposed by Hsiao and Raghavan (1992), Derks and Peters (1993), and Peters and Zank (2005) with the Shapley values of some particular TU games.

Suggested Citation

  • Yan-An Hwang & Yu-Hsien Liao, 2008. "The solutions for multi-choice games: TU games approach," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-08c70007
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    File URL: http://www.accessecon.com/pubs/EB/2008/Volume3/EB-08C70007A.pdf
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    References listed on IDEAS

    as
    1. Hervé Moulin, 1995. "On Additive Methods To Share Joint Costs," The Japanese Economic Review, Japanese Economic Association, vol. 46(4), pages 303-332, December.
    2. Hans Peters & Horst Zank, 2005. "The Egalitarian Solution for Multichoice Games," Annals of Operations Research, Springer, vol. 137(1), pages 399-409, July.
    3. Derks, Jean & Peters, Hans, 1993. "A Shapley Value for Games with Restricted Coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 351-360.
    4. Hsiao, Chih-Ru & Raghavan, T E S, 1992. "Monotonicity and Dummy Free Property for Multi-choice Cooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 301-312.
    5. Calvo, Emilio & Santos, Juan Carlos, 2000. "A value for multichoice games," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 341-354, November.
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    Cited by:

    1. Michael Jones & Jennifer Wilson, 2010. "Multilinear extensions and values for multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(1), pages 145-169, August.
    2. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "Modeling a Multi-Choice Game Based on the Spirit of Equal Job opportunities," MPRA Paper 15285, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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