Maximal elements in noncompact spaces with application to equilibria

Chang, Shiow-Yu

doi:10.1090/S0002-9939-03-07054-0

Maximal elements in noncompact spaces with application to equilibria
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by Shiow-Yu Chang

Proc. Amer. Math. Soc. 132 (2004), 535-541

DOI: https://doi.org/10.1090/S0002-9939-03-07054-0

Published electronically: June 11, 2003

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Abstract:

A new maximal theorem for $L_S$-majorized correspondences in noncompact spaces is presented and applied to obtain an equilibrium existence theorem for noncompact abstract economies. The corresponding results of Borglin and Keiding (1976), Yannelis and Prabhakar (1983), Ding and Tan (1993), Yuan and Tarafdar (1996), and Ding and Yuan (1998) are generalized by our results.

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