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The Potential of Multi-choice Cooperative Games

Author

Listed:
  • Hsiao, Chih-Ru
  • Yeh, Yeong-Nan
  • Mo, Jie-Ping

Abstract

We defined the potential for multi-choice cooperative games, and found the relationship between the potential and the multi-choice Shapley value. Moreover, we show that the multi-choice Shapley is consistent.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:15007
    as

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    File URL: https://mpra.ub.uni-muenchen.de/15007/1/MPRA_paper_15007.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. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    3. 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.
    4. 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)

    Citations

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    Cited by:

    1. Yu-Hsien Liao, 2009. "Dividend approach and level consistency for the Derks and Peters value," Economics Bulletin, AccessEcon, vol. 29(2), pages 1054-1062.
    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, 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.
    4. Yan-An Hwang & Yu-Hsien Liao, 2009. "Equivalence theorem, consistency and axiomatizations of a multi-choice value," Computational Optimization and Applications, Springer, vol. 45(4), pages 597-613, December.

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    More about this item

    Keywords

    Potential; Shapley value; Reduced game; Consistent;
    All these keywords.

    JEL classification:

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

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