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...

Intuition suggests that in repeated games evolution leads to e fficient outcomes, we prove this result. Actions are used as implicit messages suggesting better ways to coordinate but also, in a subtler way, to assign diff erent roles to players. This allows to endogenously break the symmetries...

We show that in long repeated games, payoffs corresponding to evolutionary stable sets are almost efficient, as intuition suggests. Actions played at the beginning of the game are used as implicit messages and exploited to coordinate on Pareto optimal outcomes. Strategies following simple...