We consider the "and" communication device that receives inputs from two players and outputs the public signal yes if both messages are yes, and outputs no otherwise. We prove that no correlation can securely be implemented using this device, even when infinitely many stages of communication are...

This paper studies situations in which agents do not initially know the effect of their decisions, but learn from experience the payoffs induced by their choices and their opponent's. We characterize equilibrium paysoffs in termsof simple strategies in which an explanation phase is followed by a...