A CONTINUITY RESULT FOR THE NASH EQUILIBRIUM OF A CLASS OF NETWORK GAMES

被引：7

作者：

Passacantando, M. ^{[1
]}

Raciti, F. ^{[2
]}

机构：

[1] Univ Milano Bicocca, Dept Business & Law, Via Bicocca degli Arcimboldi 8, I-20126 Milan, Italy

[2] Univ Catania, Dept Math & Comp Sci, Vle A Doria 6, I-95125 Catania, Italy

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2024年 / 8卷 / 01期

关键词：

Network games; Nash equilibrium; Set convergence; Variational inequality; VARIATIONAL-INEQUALITIES; FRAMEWORK;

D O I：

10.23952/jnva.8.2024.1.09

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a class of Nash equilibrium problems on networks where both the utility function and the strategy space of each player are parametrized by means of continuous functions of a vector parameter. We provide a variational inequality reformulation of the Nash equilibrium problem which turns out to be much simpler than the original problem. Moreover, under additional assumptions, the continuity of the solution with respect to the parameter is proved.

引用

页码：167 / 179

页数：13

共 22 条

[1]

Aussel, 2022, J. Appl. Numer. Optim., V4, P87

[2] Who's who in networks.: Wanted:: The key player [J].