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

被引：0
作者：
Nikol'skii, M. S. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 291卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Nash Equilibrium; STEKLOV Institute; Nash Equilibrium Point; Nonempty Compact Subset; Continuous Scalar Function;
D O I：
10.1134/S0081543815080180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：232 / 236
页数：5
相关论文
共 10 条
  • [1] [Anonymous], APPL NONLINEAR ANAL
  • [2] [Anonymous], 1955, Pac. J. Math, DOI DOI 10.2140/PJM.1955.5.807
  • [3] Gradient approach of computing fixed points of equilibrium problems
    Antipin, A
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2002, 24 (03) : 285 - 309
  • [4] Fedorov V.V., 1979, Numerical methods of maximin
  • [5] Mashchenko S. O., 2012, ZH OBCHISL PRIKL MAT, P40
  • [6] Moulin, 1981, THEORIE JEUX EC POLI
  • [7] Nikol'skii M. S., 2014, MOSCOW U COMPUT MATH, V38, p[25, 54]
  • [8] PARTHASARATHY T, 1974, SOME TOPICS 2 PERSON
  • [9] Petrosyan L. A., 1998, Game Theory
  • [10] Vasin AA., 2005, Game theory and models of mathematical economics
1