Consider a two-person infinitely-repeated game in which one player is either a normal rational type or a commitment type that authomatically plays a fixed repeated-game strategy When her true type is private information a rational type may want to develop a reputation as a commitment type by...

Side-payments are common in many long-term relationships. We show that when players can exchange side-payments, approximate efficiency is achievable in any repeated game with private monitoring and communication, so long as the players can observe their own payoffs and are sufficiently patient,...