著者

Ui Takashi

出版者

Academic Press Inc

雑誌

Games and Economic Behavior (ISSN:08998256)

巻号頁・発行日

vol.31, no.1, pp.121-135, 2000-04

被引用文献数

81

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In potential games, as considered by Monderer and Shapley (1996a, Games Econom. Behav. 14, 124-143), each player's gain from a deviation is equal to the gain in a potential function. We prove that a game has a potential function if and only if its payoff functions coincide with the Shapley value of a particular class of cooperative games indexed by the set of strategy profiles. Also a potential function of a noncooperative potential game coincides with the potentials (cf. Hart and Mas-Colell, 1989, Econometrica 57, 589-614) of cooperative games indexed by the strategy set. Journal of Economic Literature Classification Numbers: C71, C72. (C) 2000 Academic Press (C) 2000 Academic Press.