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math.OC2014
Generic uniqueness of the bias vector of mean payoff zero-sum games
Marianne Akian, Stéphane Gaubert, Antoine Hochart
Zero-sum mean payoff games can be studied by means of a nonlinear spectral problem. When the state space is finite, the latter consists in finding an eigenpair solution of…
math.OC2014
Ergodicity conditions for zero-sum games
Marianne Akian, Stéphane Gaubert, Antoine Hochart
A basic question for zero-sum repeated games consists in determining whether the mean payoff per time unit is independent of the initial state. In the special case of "zero-player"…