Mathematics – Combinatorics
Scientific paper
2011-07-07
Mathematics
Combinatorics
17 papers
Scientific paper
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 {\epsilon}-equilibria, and pinpoint the maximal Lipschitz constant that is sufficient to imply existence of pure {\epsilon}-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.
Azrieli Yaron
Shmaya Eran
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