Reputation with Long Run Players
نویسنده
چکیده
Previous work shows that reputation results may fail in repeated games with long-run players with equal discount factors. We restrict attention to stage games where two players, with equal discount factors, move sequentially. A pure Stackelberg action is assumed to exist. One and two sided reputation results are provided. If one of the players is a Stackelberg type with positive probability, then that player receives the highest individually rational payoff in all perfect equilibria, as agents become patient. If both players are Stackelberg types with positive probability, then equilibrium payoffs converge to a unique payoff vector; and the equilibrium play converges to the unique equilibrium of a continuous time war of attrition. All results generalize to simultaneous move stage games, if the stage game is a game of strictly conflicting interest.
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