This paper examines sets of Nash equilibrium in sender-receiver games that are stable against replacement by alternative Nash equilibria. Such stable sets exist. In partial common interest games they contain only informative equilibria.

We investigate the effect of non-binding pre-play communication in experiments with simple two-player coordination games. We reproduce the results of other studies in which play converges to a Pareto-dominated equilibrium in the absence of communication, and communication moves outcomes in the...