We here develop a model of pre-play communication that generalizes the cheap-talk approach by allowing players to have a lexicographic preference, second to the payoffs in the underlying game, for honesty. We formalize this by way of an honesty (or truth) correspondence between actions and...

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...