A sufficient condition on the existence of pure equilibrium in two-person symmetric zerosum games

Abstract

In this note, we introduce a new sufficient condition, called sign-quasiconcavity, on the existence of a pure equilibrium in two-person symmetric zerosum games, which generalizes both generalized ordinal potentials Monderer and Shapley, 1996 and quasiconcavity Duerschet al., 2012.