Before revision: I study a reputation model in which a patient player privately observes a persistent state that  affects his myopic opponents' payoffs, and can be one of the several commitment types that plays the same (possibly mixed ) action over time. The main result is a characterization of the set of environments under which the patient player obtains at least his commitment payoff in all equilibria regardless of his stage-game payoff function.
After revision: I study a reputation model in which a patient player privately observes a persistent state that affects his myopic opponents' payoffs, and can be one of the several commitment types that plays the same mixed action in every period. I characterize the set of environments under which the patient player obtains at least his commitment payoff in all equilibria regardless of his stage-game payoff function.