Lipschitz Games
نویسندگان
چکیده
The Lipschitz constant of a finite normal–form game is the maximal change in some player's payoff when a single opponent changes his strategy. We prove that games with small Lipschitz constant admit pure ǫ-equilibria, and pinpoint the maximal Lipschitz constant that is sufficient to imply existence of pure ǫ-equilibrium as a function of the number of players in the game and the number of strategies of each player. Our proofs use the probabilistic method.
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عنوان ژورنال:
- Math. Oper. Res.
دوره 38 شماره
صفحات -
تاریخ انتشار 2013