Hsiao, Chih-Ru (1996): Consistency of the Multi-Choice Shapley Value.
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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.
Item Type: | MPRA Paper |
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Commentary on: | Eprints 0 not found. |
Original Title: | Consistency of the Multi-Choice Shapley Value |
Language: | English |
Keywords: | Potential of Multi-choice Shapley Value, Consistency Property |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory |
Item ID: | 18504 |
Depositing User: | Chih-Ru HSIAO |
Date Deposited: | 11 Nov 2009 00:03 |
Last Modified: | 27 Sep 2019 08:17 |
References: | 1. Hsiao, Chih-Ru (1991), Shapley Value for Multi-choice Cooperative Games, Ph.D. dissertation submitted to the University of Illinois at Chicago, June 1991. 2. Hsiao CR, Raghavan TES (1992), Monotonicity and Dummy Free Property for Multi-Choice Cooperative Games. International Journal of Game Theory 21:301-312 3. Hsiao, Chih-Ru, Raghavan TES (1993), Shapley Value for multi-choice Cooperative Game (I). Games and Economic Behavior 5:240-256 4. Hsiao, Chih-Ru, A Note on Non-essential Players in Multi-Choice Cooperative Games. Games and Economic Behavior, 8 (1995), 424-432. 5. Hsiao CR, Yeh YN and Mo CP (1995) The Potential of Multi-choice Cooperative Game. Technical Report. 6. Roth, A, The Shapley Value. Essays in honor of L.S.Shapley, Edited by A. Roth, Cambridge University Press, 1988. 7. Shapley LS (1953) A Value for n-person Game. In: Kuhn HW, Tucker AW(eds.) Contributions to the Theory of Games II, Princeton University Press, Princeton, 307-317 8. Shapley LS (1953) Additive and Non-additive set Functions, Ph.D, Ph.D. theses, Princeton. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/18504 |