Correlated Perfect Equilibrium

We propose a refinement of correlated equilibrium based on mediator errors, called correlated perfect equilibrium (CPE). In finite games, the set of CPE is nonempty and forms a finite union of convex sets. Like perfect equilibrium, a CPE never assigns positive probability to any weakly dominated strategy. We provide a dual representation of CPE and demonstrate how it differs from two existing refinements of correlated equilibrium–acceptable correlated equilibrium (Myerson, 1986) and perfect direct correlated equilibrium (Dhillon-Mertens, 1996)–through examples.