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The study of Pareto equilibria for multiobjective games by fixed point and Ky Fan minimax inequality methods  ( SCI-EXPANDED收录)   被引量:53

文献类型:期刊文献

英文题名:The study of Pareto equilibria for multiobjective games by fixed point and Ky Fan minimax inequality methods

作者:Yu J. Yuan G.X.-Z.

第一作者:Yu J.

通信作者:Yuan, GXZ[1]

机构:[1]Guizhou Inst Technol, Inst Appl Math, Guizhou 550003, Peoples R China;[2]Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

第一机构:贵州理工学院理学院

通信机构:corresponding author), Guizhou Inst Technol, Inst Appl Math, Guizhou 550003, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份:1998

卷号:35

期号:9

起止页码:17-24

外文期刊名:COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录:;Scopus(收录号:2-s2.0-0032065773);WOS:【SCI-EXPANDED(收录号:WOS:000073477000002)】;

语种:英文

外文关键词:multiobjective game; weight Nash-equilibrium; Pareto equilibria; fixed point; Ky Fan minimax inequality

摘要:In this paper, we present two ways to study the existence of weight Nash-equilibria and Pareto equilibria for multiobjective games. One is the 'fixed-point method' which is well known; and the second is the application of 'Ky Fan minimax inequality', which is not often used in the study of optimization, game theory, and mathematical programming. As results, several existence theorems for weight Nash-equilibria and Pareto equilibria are established which improve and unify the corresponding results in the recently existing literatures.

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