Hsiao, Chih-Ru and Chiou, Wen-Lin (2007): On the reduced game of a cooperative game and its solution.
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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.
Item Type: | MPRA Paper |
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Original Title: | On the reduced game of a cooperative game and its solution |
English Title: | On the reduced game of a cooperative game and its solution |
Language: | English |
Keywords: | partially consistent property; cooperative TU games; Shapley value |
Subjects: | C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory |
Item ID: | 42116 |
Depositing User: | Chih-Ru HSIAO |
Date Deposited: | 22 Oct 2012 09:26 |
Last Modified: | 02 Oct 2019 04:40 |
References: | 1. Hart, S and Mas-Colell (1989), Potential, value, and Consistency. Econometrica, vol. 57, No. 3, pp. 589~614. 2. Hsiao, CR 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, CR and T.E.S. Raghavan (1993), Shapley value for Multi-Choice Cooperative Games (I). Games and Economic Behavior, 5, 240 -256. 4. Hsiao CR, Yeh YN and Mo JP (1994), The Potential of Multi-choice Cooperative Game. Conference Paper. International Mathematics Conference '94, National Sun Yat-sen University, Kaohsiung, Taiwan, Dec. 2-5, 1994. 5. Hsiao CR (1995), A Note on Non-essential Players in Multi-Choice Cooperative Games. Games and Economic Behavior, 8, 424-432. 6. Liao YH (1998) Some properties of multi-choice Shapley value. Master Thesis, Department of Mathematics, Soochow University, Taipei Taiwan. 7. Hwang YA, Liao YH (2006) The potential and characterizations of a multi-choice value, submitted. 8. Shapley LS, A Value for n-person Game.In: Kuhn HW, Tucker AW(eds.) Contributions to the Theory of Games II, Annals of Mathematics Studies 28, Princeton University Press, Princeton, 307-317. 9. Roth, A.: {\sl The Shapley Value. } Essays in honor of L.S.Shapley, Edited by A. Roth, Cambridge University Press, 1988. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/42116 |