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Existence of maximal elements and equilibria in linear topological spaces
Journal article   Peer reviewed

Existence of maximal elements and equilibria in linear topological spaces

Nicholas C. Yannelis and N.D. Prabhakar
Journal of mathematical economics, Vol.12(3), pp.233-245
12/01/1983
DOI: 10.1016/0304-4068(83)90041-1

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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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