A Modified Michael's Selection Theorem with Application to Generalized Nash Equilibrium Problem

被引：3

作者：

Castellani, Marco ^{[1
]}

Giuli, Massimiliano ^{[1
]}

机构：

[1] Univ Aquila, Dept Informat Engn Comp Sci & Math, Via Vetoio, I-67100 Coppito, AQ, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 196卷 / 01期

关键词：

Continuous selection; Fixed point; Generalized Nash equilibrium problem; EXISTENCE; GAMES;

D O I：

10.1007/s10957-022-02090-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper provides a sufficient condition for the existence of solutions for generalized Nash equilibrium problems in the infinite-dimensional setting and with a countable (possibly infinite) number of players. The result has been achieved as a consequence of a modified version of Michael's selection theorem that works even when the range space is not metrizable and the set-valued map has not closed values.

引用

页码：199 / 211

页数：13

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