Closure and upper semicontinuity results in mathematical programming, Nash and economic equilibria1
Roberto Lucchetti, Fioravante Patrone · Optimization · 1986
A result on Kubatowski's convergence of the intersection of two converging sequences of closed convex subsets of an Euclidean space enables to obtain closedness results for the solution sets of problems with constraints. Such results are applied to minimization problems in mathematical programming, to Nash equilibria in game theory and to competitive equilibria in mathematical economics. Upper semicontinuity results are also derived under usual hypotheses guaranteeing existence of solutions.