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