The existence of equilibria for noncompact generalized games

Yuan, G. X. -Z (2000) The existence of equilibria for noncompact generalized games. Applied Mathematics Letters, 13 1: 57-63. doi:10.1016/S0893-9659(99)00145-7

Author Yuan, G. X. -Z
Title The existence of equilibria for noncompact generalized games
Journal name Applied Mathematics Letters   Check publisher's open access policy
ISSN 0893-9695
Publication date 2000-01-01
Sub-type Article (original research)
DOI 10.1016/S0893-9659(99)00145-7
Volume 13
Issue 1
Start page 57
End page 63
Total pages 7
Editor E.Y. Rodin
Place of publication Oxford )X5, 1GB
Publisher Pergamon, Elsevier Science Ltd
Language eng
Subject C1
230109 Functional Analysis
780101 Mathematical sciences
Abstract The purpose of this paper is to establish general existence of equilibria for noncompact generalized games (respectively, noncompact abstract economics) under general setting of noncompact conditions and in which the L-majorized preference mappings may not have lower semicontinuity, and constraint correspondences are only lower or upper semicontinuous. In our model, strategic (respectively, commodity) spaces are not compact, the set of players (respectively, agents) are countable or uncountable, and underlying spaces are either finite- or infinite-dimensional locally topological vector spaces. Our results might be regarded as a unified theory for the corresponding results in the existing literatures in the study of generalized games (respectively, abstract economics) theory.
Keyword Generalized game
Abstract economics
L-majorized mapping
(WC) condition
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Created: Tue, 10 Jun 2008, 22:55:03 EST