A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory

被引：0

作者：

Berenguer, Maria Isabel ^{[1
]}

Gamez, Domingo ^{[1
]}

Garralda-Guillem, Ana Isabel ^{[1
]}

Galan, Manuel Ruiz ^{[1
]}

机构：

[1] Univ Granada, Inst Math IMAG, Dept Appl Math, ETS Ingn Edificac, Granada 18071, Spain

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

equilibrium problems; game theory; minimax inequalities; MINIMAX INEQUALITY; FIXED-POINT; EXISTENCE; CONVEXITY; PRINCIPLE;

D O I：

10.3390/axioms12070666

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions. In order to derive some consequences on game theory-Nash equilibrium and minimax inequalities-we introduce a weak convexity concept.

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页数：12

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