This paper studies repeated games with incomplete information on one side and equal discount factors for both players. The payoffs of the informed player I depend on one of two possible states of the world, which is known to her. The payoffs of the uninformed player U do not depend on the state...

We analyze discounted repeated games with incomplete information, such that the players' payoffs depend only on their own type (known-own payoff case). We describe an algorithm for finding all equilibrium payoffs in games for which there exists an open set of belief-free equilibria of Hörner...

The appendices for this paper are available at the following URL: "http://ssrn.com/abstract=2164774" http://ssrn.com/abstract=2164774Many markets without repeated seller-buyer relations feature third-party "monitors" that sell recommendations. We analyze the profit-maximizing recommendation...

We study the alternating-offer bargaining problem of sharing a common value pie under incomplete information on both sides and no depreciation between two identical players. We characterise the essentially unique perfect Bayesian equilibrium of this game which turns out to be in gradually...

This paper is inspired by real-world phenomena that firms lose customers based on imprecise information and take a long time to recover. If consumers are playing an ordinary repeated game with fixed partners, there is no clear reason why recovery slowly happens. However, if consumers are playing...

We study a class of continuous-time reputation games between a large player and a population of small players in which the actions of the large player are imperfectly observable. The large player is either a normal type, who behaves strategically, or a behavioral type, who is committed to...

It is well known that the presence of imperfect monitoring limits the possibility of making efficient agreements. When firms interact repeatedly in multiple markets, however, we show that noisy observations may improve the possibility of collusion. When observation is noisy in at least one...

We consider repeated zero-sum games with incomplete information on the side of Player 2 with the total payoff given by the non-normalized sum of stage gains. In the classical examples the value of such an N-stage game is of the order of N or of square root of N, as N tends to infinity.Our aim is...

We prove a folk theorem for multiplayer games in continuous time when players observe a public signal distorted by Brownian noise. The proof is based on a rigorous foundation for such continuous-time multiplayer games. We study in detail the relation between behaviour and mixed strategies, and...

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...