Existence of maximal elements and equilibria in linear topological spaces

Abstract

We present some mathematical theorems which are used to generalize previous results on the existence of maximal elements and of equilibrium. Our main theorem in this paper is a new existence proof for an equilibrium in an abstract economy, which is closely related to a previous result of Borglin-Keiding, and Shafer-Sonneschein, but allows for an infinite number of commodities and a countably infinite number of agents. © 1983.