Before revision:  Inexperienced agents know their opponents' payoff functions but not the prevailing distribution of opponents' play . One refinement corresponds to an upper bound on the set of possible learning outcomes while the other provides a lower bound .
After revision:  Inexperienced agents know their opponents' payoff functions but not the prevailing distribution of opponents' play , and update their beliefs based on their observations. Long-lived and patient senders experiment with every signal that they think might yield an improvement over their myopically best play. We show that divine equilibrium (Banks and Sobel, 1987) is nested between "rationality-compatible" equilibrium, which corresponds to an upper bound on the set of possible learning outcomes while the other provides a lower bound .