An equilibrium is communication-proof if it is unaffected by new opportunities to communicate and renegotiate. We characterize the set of equilibria of coordination games with pre-play communication in which players have private preferences over the feasible coordinated outcomes....

This paper analyzes the implementation of correlated equilibria that are immune to joint deviations of coalitions by cheap-talk protocols. We construct a universal cheap-talk protocol (a polite protocol that uses only 2-player private channels) that is resistant to deviations of fewer than half...

An equilibrium is communication-proof if it is unaffected by new opportunities to communicate and renegotiate. We characterize the set of equilibria of coordination games with preplay communication in which players have private preferences over the feasible coordinated outcomes....

This paper studies extensive form games with perfect information and simultaneous moves, henceforth called games with public information. On this class, we prove that all communication equilibrium payoffs can be obtained without mediator by cheap-talk procedures. The result encompasses repeated...