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Reputation in Repeated Moral Hazard Games

Atakan, Alp Enver and Ekmekci, Mehmet (2014): Reputation in Repeated Moral Hazard Games.

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Abstract

We study an infinitely repeated game where two players with equal discount factors play a simultaneous-move stage game. Player one monitors the stage- game actions of player two imperfectly, while player two monitors the pure stage- game actions of player one perfectly. Player one’s type is private information and he may be a “commitment type,” drawn from a countable set of commitment types, who is locked into playing a particular strategy. Under a full-support assumption on the monitoring structure, we prove a reputation result for repeated moral hazard games: if there is positive probability that player one is a particular type whose commitment payoff is equal to player one’s highest payoff, consistent with the players’ individual rationality, then a patient player one secures this type’s commitment payoff in any Bayes-Nash equilibrium of the repeated game.

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