  Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the
magnitudes of the players' "trembles" onto different strategies. These
restrictions capture the idea that trembles correspond to deliberate
experiments by agents who are unsure of the prevailing distribution of play.
PCE selects intuitive equilibria in a number of examples where trembling-hand
perfect equilibrium (Selten, 1975) and proper equilibrium (Myerson, 1978) have
no bite. We show that rational learning and weighted fictitious play imply our
compatibility restrictions in a steady-state setting.
