New existence of equilibria in generalized SSC

AbstractThe purpose of this paper is to prove new existence theorems of equilibria in generalized SSC without assuming the interior condition of the state correspondence nor the strong continuity assumption on agent's preference correspondence by using the Fan-Glicksberg fixed-point theorem, and also give some corollaries including the Nash equilibrium existence for an abstract economy. Our results generalize the corresponding results due to Keiding, Vind and Kim and Yuan in several ways