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The Study of Existence of Equilibria for Generalized Games without Lower Semicontinuity in Locally Topological Vector Spaces

✍ Scribed by Xie-Ping Ding; George Xian-Zhi Yuan


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
238 KB
Volume
227
Category
Article
ISSN
0022-247X

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✦ Synopsis


The aim of this paper is to establish general existence results of maximal elements for L L-majorized mappings, which are, in turn, used to establish the Ž general existence theorems of equilibria for generalized games resp., abstract . economics without lower semicontinuity for both constraint and preference map-Ž . Ž . pings correspondences and in which strategic resp., commodity spaces may not Ž . be compact, the set of players resp., agents may not be countable, and underlying spaces are either finite or infinite dimensional locally topological vector spaces. Our results unify or improve corresponding results in the literature.