Equilibrium existence results for a class of discontinuous games

2013/03/27 by Monica Patriche, Patriche, Monica
Economics, Econometrics and Finance · Decision Sciences · Computer Science · #Economic theories and models #Game Theory and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1303.6979

Abstract

We introduce the notions of w-lower semicontinuous and almost w-lower semicontinuous correspondence with respect to a given set and prove a new fixed-point theorem. We also introduce the notion of correspondence with e-LSCS-property. As applications we obtain some new equilibrium theorems for abstract economies and for generalized multiobjective games.

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