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Consistency of the Multi-Choice Shapley Value

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  • Hsiao, Chih-Ru

Abstract

We define the potential of multi-choice cooperative games, find the relationship between the multi-choice Shapley value and the potential, and show that the multi-choice Shapley value is consistent.

Suggested Citation

  • Hsiao, Chih-Ru, 1996. "Consistency of the Multi-Choice Shapley Value," MPRA Paper 18504, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:18504
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    File URL: https://mpra.ub.uni-muenchen.de/18504/1/MPRA_paper_18504.pdf
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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. Hsiao Chih-Ru & Raghavan T. E. S., 1993. "Shapley Value for Multichoice Cooperative Games, I," Games and Economic Behavior, Elsevier, vol. 5(2), pages 240-256, April.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Hsiao, Chih-Ru, 2011. "A Review on Liao’s Dissertation Entitled “The Solutions on Multi-choice Games” and Related Publications," MPRA Paper 30260, University Library of Munich, Germany.

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    More about this item

    Keywords

    Potential of Multi-choice Shapley Value; Consistency Property;

    JEL classification:

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

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