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

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.

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