We extend Kohlberg and Mertens' (1986) structure theorem on the Nash correspondence to show that its graph is not only homeomorphic to the underlying space of games, but that the homeomorphism extends to the ambient space of games times strategies, thus implying the graph is unknotted. This has...

This paper uses a laboratory experiment to study the effect of a monitoring structure on the play of the infinitely repeated prisoner's dilemma. Keeping the stage game fixed, we examine the behavior of subjects when information about past actions is perfect (perfect monitoring), noisy but public...

This paper uses a laboratory experiment to study the effect of a monitoring structure on the play of the infinitely repeated prisoner's dilemma. Keeping the stage game fixed, we examine the behavior of subjects when information about past actions is perfect (perfect monitoring), noisy but public...

By identifying types whose low-order beliefs - up to level li - about the state of nature coincide, we obtain quotient type spaces that are typically smaller than the original ones, preserve basic topological properties, and allow standard equilibrium analysis even under bounded reasoning. Our...

Predictions under common knowledge of payoffs may differ from those under arbitrarily, but finitely, many orders of mutual knowledge; Rubinstein's (1989)Email game is a seminal example. Weinstein and Yildiz (2007) showed that the discontinuity in the example generalizes: for all types with...

This paper studies the problem of information revelation in a multi-stage tournament where the agents’ effort in each stage gives rise to a stochastic performance signal privately observed by the principal. The principal controls the agents’ effort incentive through the use of a feedback...

This paper studies collusion in repeated auctions when bidders communicate prior to each stage auction. The paper presents a folk theorem for independent and correlated private signals and general interdependent values. Specifically, it identifies conditions under which an equilibrium collusion...

This paper shows a fundamental property of vector fields representing dynamics on spaces of mixed strategies of normal form games whose zeros coincide with the Nash equilibria of the underlying games. The property shown is that the indices of components of zeros of any vector field in this class...

This paper studies the problem of information revelation in a multi-stage tournament where the agents' effort in each stage gives rise to a stochastic performance signal privately observed by the principal. The principal controls the agents' effort incentive through the use of a a feedback...

This paper studies the problem of a monopolist who sells a network good through a price posting scheme. The scheme posts a price of every possible allocation for each buyer, who are then asked to report their private information to the seller. The seller then implements the allocation based on...