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...

Common wisdom about the effects of gas market liberalization in the EU claims that the fragmentation of gas supply in the downstream market can raise the price of gas imports, as the bargaining power of European firms in the upstream market would be weakened. We consider such a claim from the...

Given a compact connected component of zeros of a vector field, we give a necessary condition for its asymptotic stability in terms of its index and Euler characteristic.

Given a game and a dynamics on the space of strategies it is possible to associate to any component of Nash equilibria, an integer, this is the index, see Ritzberger (1994). This number gives useful information on the equilibrium set and in particular on its stability properties under the given...

We extend Kohlberg and Mertens' (1986) structure theorem concerning the Nash equilibrium correspondence to show that its graph is not only homeomorphic to the underlying space of games but that it is also unknotted. This is then shown to have some basic consequences for dynamics whose rest...