One of the central features of classical models of competitive markets is the generic determinacy of competitive equilibria. For smooth economies with a finite number of commodities and a finite number of consumers, almost all initial endowments admit only a finite number of competitive...

Games with imperfect information often feature multiple equilibria, which depend on beliefs off the equilibrium path. Standard selection criteria such as passive beliefs, symmetric beliefs or wary beliefs rest on ad hoc restrictions on beliefs. We propose a new selection criterion that imposes...

We consider a class of equilibrium refinements for finite games in strategic form. The refinements in this family are indexed from least to most restrictive. Proper equilibrium is obtained as a special case within the class; all other concepts are stronger than trembling-hand perfection and...