Renegotiation and Coordination with Private Values

We define and characterize renegotiation-proof equilibria of coordination games with preplay communication in which players have private preferences over the feasible coordinated outcomes. These are such that players never miscoordinate, players coordinate on their jointly preferred outcome whenever there is one, and players communicate only the ordinal part of their preferences. This set of renegotiation proof equilibrium strategies does not depend on the distribution of private preferences, and is thus robust to changes in players beliefs. Moreover, these equilibria are interim Pareto efficient and evolutionarily stable.