We study large-population repeated games where players are symmetric but not anonymous, so player-specific rewards and punishments are feasible. Players may be commitment types who always take the same action. Even though players are not anonymous, we show that an anti-folk theorem holds when...

This paper extends the framework of Kajii and Morris (1997) to study the question of robustness to incomplete information in repeated games. We show that dynamically robust equilibria can be characterized using a one-shot robustness principle that extends the one-shot deviation principle. Using...

This paper surveys work on reputations in repeated games of incomplete information. We first develop the adverse-selection approach to reputations in the context of a long-lived player, who may be a “normal” type or one of a number of “commitment” types, and who faces a succession of...

I study a 2-bidder infinitely repeated IPV first-price auction without transfers, communication, or public randomization, where each bidderʼs valuation can assume, in each of the (statistically independent) stage games, one of three possible values. Under certain distributional assumptions, the...