Consider an n-person stochastic game with Borel state space S, compact metric action sets A <Subscript>1</Subscript>,A <Subscript>2</Subscript>,…,A <Subscript> n </Subscript>, and law of motion q such that the integral under q of every bounded Borel measurable function depends measurably on the initial state x and continuously on the actions (a <Subscript>1</Subscript>,a <Subscript>2</Subscript>,…,a <Subscript> n </Subscript>)...</subscript></subscript></subscript></subscript></subscript></subscript>

This paper studies the existence of equilibrium solution concepts in a large class of economic models with discontinuous payoff functions. The issue is well understood for Nash equilibria, thanks to Reny’s better-reply security con- dition ( Reny 1999) and its recent improvements (Barelli and...