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

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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