On some properties of Nash equilibrium points in two-person games

被引：0

作者：

M. S. Nikol’skii

机构：

[1] Steklov Mathematical Institute of Russian Academy of Sciences,

来源：

Proceedings of the Steklov Institute of Mathematics | 2015年 / 291卷

关键词：

Nash Equilibrium; STEKLOV Institute; Nash Equilibrium Point; Nonempty Compact Subset; Continuous Scalar Function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In modern game theory, a lot of attention is paid to the concept of Nash equilibrium. The paper is devoted to the study of some properties of the set A of Nash equilibrium points in two-person games. In particular, the character of possible complexity of the set A is investigated, and the stability of the set A under small perturbations of payoff functions is analyzed.

引用

页码：232 / 236

页数：4

共 5 条

[1]

Mashchenko S. O.(2012)The concept of Nash equilibrium and its development Zh. Obchisl. Prikl. Mat. 1 40-65

[2]

Nikaidô H.(1955)Note on noncooperative convex games Pac. J. Math. 5 807-815

[3]

Isoda K.(2014)Approximate calculation of Nash equilibria for two-person games Vestn. Mosk. Univ., Ser. 15: Vychisl. Mat. Kibern. 2 25-29

[4]

Nikol’skii M. S.(2002)Gradient approach of computing fixed points of equilibrium problems J. Global Optim. 24 285-309

[5]

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