Hsiao, Chih-Ru and Yeh, Yeong-Nan and Mo, Jie-Ping (1994): The Potential of Multi-choice Cooperative Games.
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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.
Item Type: | MPRA Paper |
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Original Title: | The Potential of Multi-choice Cooperative Games |
English Title: | The Potential of Multi-choice Cooperative Games |
Language: | English |
Keywords: | Potential; Shapley value, Reduced game; Consistent |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory |
Item ID: | 15007 |
Depositing User: | Chih-Ru HSIAO |
Date Deposited: | 06 May 2009 14:13 |
Last Modified: | 28 Sep 2019 16:35 |
References: | 1. Hart, Sergiu and Mas-Colell (1989), Potential, value, and Consistency. Econometrica, vol. 57, No. 3, pp. 589~614. 2. Hsiao, Chih-Ru and T.E.S. Raghavan (1992), Monotonicity and Dummy Free Property for Multi-Choice Cooperative Games. 21, International Journal of Game Theory, pp. 301-312. 3. Hsiao, Chih-Ru and T.E.S. Raghavan (1993), Shapley value for Multi-Choice Cooperative Games (I). Games and Economic Behavior, 5, 240 -256. 4. Hsiao,Chih-Ru (1994), A Note on Non-Essential Players in Multi-Choice Cooperative Games. To appear in Games and Economic Behavior. 5. Roth, A (1988). The Shapley value. Essays in honor of L.S.Shapley, Edited by A. Roth, Cambridge University Press. 6. Shapley, L. S. (1953), A value for $n$-person Games, In: Kuhn, H. W., Tucker, A.W. (eds.). Contributions to the Theory of Games II, Princeton, pp. 307-317. 7. Shapley, L.S. (1953), Additive and Non-Additive set functions, PhD thesis, Princeton. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/15007 |