RANDOM NASH EQUILIBRIUM

被引：0

作者：

Corniewicz, Oskar ^{[1
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, Warsaw, Poland

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 01期

关键词：

Nash equilibrium; random fixed points; multivalued operators; GAMES;

D O I：

10.24193/fpt-ro.2018.1.17

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the notion of random n-persons game is defined. The most important problem of such games is the existence of Random Nash Equilibrium (RNE) which is defined in section 4. Since not every random game has RNE, we will consider here a subclass of random games called admissible random games. Finally, using a generalized version of Kakutani's theorem it is proved that for any admissible random game there exists a RNE.

引用

页码：219 / 224

页数：6

共 16 条

[1] Andres J, 2012, TOPOL METHOD NONL AN, V40, P337
[2] On the existence of Cournot-Nash equilibria in continuum games
Balder, EJ
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 1999, 32 (02) : 207 - 223
[3] Nash equilibria in random games
Barany, Irnre
Vempala, Santosh
Vetta, Adrian
[J]. RANDOM STRUCTURES & ALGORITHMS, 2007, 31 (04) : 391 - 405
[4] Borsuk K., 1967, Monografie Matematyczne, V44
[5] A FURTHER GENERALIZATION OF THE KAKUTANI FIXED POINT THEOREM, WITH APPLICATION TO NASH EQUILIBRIUM POINTS
GLICKSBERG, IL
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) : 170 - 174
[6] Gorniewicz L., 2006, Topological Fixed Point Theory of Set-valued Mappings, VSecond
[7] Haurie A., 2012, GAMES DYNAMIC GAMES
[8] Stochastic Games with Unbounded Payoffs: Applications to Robust Control in Economics
Jaskiewicz, Anna
Nowak, Andrzej S.
[J]. DYNAMIC GAMES AND APPLICATIONS, 2011, 1 (02) : 253 - 279
[9] Kakutani S., 1941, Duke Math. J., V8, P457
[10] lawska-Kregiel B. Bogus, 2007, ROCZNIKI NAUKOWE WSB, V1

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