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.
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页码：199 / 211
页数：13
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