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On the reduced game of a cooperative game and its solution

Author

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  • Hsiao, Chih-Ru
  • Chiou, Wen-Lin

Abstract

We define a partially consistent property for a solution of cooperative TU games, then use the consistent property to characterize the well-known Shapley value.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:42116
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    partially consistent property; cooperative TU games; Shapley value;
    All these keywords.

    JEL classification:

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

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