Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2001; 38(1): 71-79

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Existence of equilibria in locally convex spaces

Won Kyu Kim and George Xian-Zhi Yuan

Chungbuk National University, The University of Queensland

Abstract

The purpose of this paper is to prove new equilibrium existence theorems of social systems with coordination under general conditions on the preference correspondence in locally convex spaces, and we also give an example which the previous existence results on SSC do not work but our theorem can be applied.

Keywords: SSC, equilibrium, expectation, dual pairing, upper semicontinuous

MSC numbers: Primary 90A12 ; Secondary 52A07