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....

We define and characterize the set of renegotiation-proof equilibria of coordination games with pre-play communication in which players have private preferences over the feasible coordinated outcomes. Renegotiation-proof equilibria provide a narrow selection from the large set of qualitatively...

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....