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Existence of maximal elements and equilibria in linear topological spaces
Authors:Nicholas C Yannelis
Institution:University of Minnesota, Minneapolis, MN 55455, USA;Wayne State University, Detroit, MI 48202, USA;Wayne State University, Detroit, MI 48202, USA
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.
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