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Generalized Games and Non-compact Quasi-variational Inequalities

โœ Scribed by Xian-Zhi Yuan; Kok-Keong Tan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
333 KB
Volume
209
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, by developing an approximation approach which is originally due to Tuleca in 1986, we prove the existence of equilibria for generalized games in ลฝ . ลฝ . which constraint mappings correspondences are lower resp., upper semicontinu-ลฝ . ous instead of having lower resp., upper open sections or open graphs in infinite dimensional topological spaces. Then, existence theorems of solutions for quasivariational inequalities and non-compact generalized quasi-variational inequalities are also established. Finally, existence theorems of constrained games with noncompact strategy sets are derived. Our results unify and generalize many well known results given in the existing literature. In particular, we answer the question raised by Yannelis and Prabhakar in 1983 in the affirmative under more weaker conditions.

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