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A Characterization of the Shapley Value for Cooperative Games

Author

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  • Hsiao, Chih-Ru
  • Chiou, Wen-Lin

Abstract

Motivated by a case of discrimination against some particular players happened in the real world, we define the partially consistent property of the solutions for cooperative games and use the property to characterize the Shapley value. This is different from the characterization of the Shapley value by applying the consistency property proposed by Hart and Mas-Colell.

Suggested Citation

  • Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "A Characterization of the Shapley Value for Cooperative Games," MPRA Paper 14969, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:14969
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    File URL: https://mpra.ub.uni-muenchen.de/14969/1/MPRA_paper_14969.pdf
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    References listed on IDEAS

    as
    1. Hsiao, Chih-Ru, 1995. "A note on non-essential players in multi-choice cooperative games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 424-432.
    2. Chang, Chih & Kan, Ching-Yu, 1992. "The Kernel, the Bargaining Set and the Reduced Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 75-83.
    Full references (including those not matched with items on IDEAS)

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    2. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2009. "Modeling a Multi-Choice Game Based on the Spirit of Equal Job Opportunities (New)," MPRA Paper 16023, University Library of Munich, Germany.
    3. Hsiao, Chih-Ru & Yeh, Yeong-Nan & Mo, Jie-Ping, 1994. "The Potential of Multi-choice Cooperative Games," MPRA Paper 15007, University Library of Munich, Germany.
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    5. Hsiao, Chih-Ru & Chiou, Wen-Lin, 2007. "On the reduced game of a cooperative game and its solution," MPRA Paper 42116, University Library of Munich, Germany.

    More about this item

    Keywords

    Shapley value; Reduced Game; Partialy Consistent;
    All these keywords.

    JEL classification:

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

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