On existence of undominated pure strategy Nash equilibria in anonymous nonatomic games: a generalization

被引：3

作者：

Codognato, G

Ghosal, S

机构：

[1] Univ Udine, Dipartimento Sci Econ, I-33100 Udine, Italy

[2] Univ Milano Bicocca, SET, I-20126 Milan, Italy

[3] Univ Warwick, Dept Econ, Coventry CV4 7AL, W Midlands, England

来源：

INTERNATIONAL JOURNAL OF GAME THEORY | 2003年 / 31卷 / 04期

关键词：

Nash equilibrium; pure strategy; nonatomic game;

D O I：

10.1007/s001820300132

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, we generalize the exitence result for pure strategy Nash equilibria in anonymous nonatomic games. By working directly on integrals of pure strategies, we also generalize, for the same class of games, the existence result for undominated pure strategy Nash equilibria even though, in general, the set of pure strategy Nash equilibria may fail to be weakly compact.

引用

页码：493 / 498

页数：6

共 13 条

[1]

Aliprantis C., 1999, Infinite-dimensional analysis. A hitchhiker's guide, DOI DOI 10.1007/978-3-662-03961-8

[2]

[Anonymous], J MATH EC

[3]

[Anonymous], 1977, LECT NOTES MATH

[4]

Aumann R.J., 1976, J MATH ECON, V3, P15

[5] INTEGRALS OF SET-VALUED FUNCTIONS [J].

AUMANN, RJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (01) :1-&

[6]

Berge C., 1997, TOPOLOGICAL SPACES

[7] EXISTENCE OF EQUILIBRIA IN ECONOMIES WITH INFINITELY MANY COMMODITIES [J].

BEWLEY, TF .

JOURNAL OF ECONOMIC THEORY, 1972, 4 (03) :514-540

[8]

Halmos PR, 1974, MEASURE THEORY

[9]

Hildenbrand W, 1974, Core and Equilibria of a Large Economy

[10]

KHAN MA, 1985, ADV EQUILIBRIUM THEO

← 1 2 →