Existence of Equilibria in Games with Arbitrary Strategy Spaces and Payoffs: A Full Characterization


This paper provides a complete solution to the question of the existence of equilibria in games with general strategy spaces that may be discrete, continuum or non-convex and payoff functions that may be discontinuous or do not have any form of quasi-concavity. We establish a single condition, called recursive diagonal transfer continuity, which is both… (More)