Nash equilibria of generalized games in normed spaces without upper semicontinuity

被引：15

作者：

Cubiotti, Paolo ^{[2
]}

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Univ Messina, Dept Math, I-98166 Messina, Italy

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 46卷 / 04期

关键词：

Noncooperative generalized game; Nash equilibria; Multifunctions; Upper semicontinuity; QUASI-VARIATIONAL INEQUALITIES; EXISTENCE; THEOREM;

D O I：

10.1007/s10898-009-9435-x

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The aim of this paper is to prove an existence theorem for the Nash equilibria of a noncooperative generalized game with infinite-dimensional strategy spaces. The main peculiarity of this result is the absence of upper semicontinuity assumptions on the constraint multifunctions. Our result is in the same spirit of the paper Cubiotti (J Game Theory 26: 267-273, 1997), where only the case of finite-dimensional strategy spaces was considered.

引用

页码：509 / 519

页数：11

共 19 条

[1]

Aubin J.-P., 1993, OPTIMA EQUILIBRIA

[2]

Aubin J-P., 1979, MATH METHODS GAME EC

[3]

Cubiotti P, 1997, INT J GAME THEORY, V26, P267

[4] On the discontinuous infinite-dimensional generalized quasivariational inequality problem [J].

Cubiotti, P .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 115 (01) :97-111

[5] A result related to Ricceri's conjecture on generalized quasi-variational inequalities [J].

Cubiotti, P ;

Yen, ND .

ARCHIV DER MATHEMATIK, 1997, 69 (06) :507-514

[6]

DEBREU G, 1952, P NATIONAL ACADEMY S, V38, P386

[7]

Dunford N., 1988, LINEAR OPERATORS

[8] A FURTHER GENERALIZATION OF THE KAKUTANI FIXED POINT THEOREM, WITH APPLICATION TO NASH EQUILIBRIUM POINTS [J].

GLICKSBERG, IL .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) :170-174

[9] FINITE-DIMENSIONAL VARIATIONAL INEQUALITY AND NONLINEAR COMPLEMENTARITY-PROBLEMS - A SURVEY OF THEORY, ALGORITHMS AND APPLICATIONS [J].

HARKER, PT ;

PANG, JS .

MATHEMATICAL PROGRAMMING, 1990, 48 (02) :161-220

[10] GENERALIZED NASH GAMES AND QUASI-VARIATIONAL INEQUALITIES [J].

HARKER, PT .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1991, 54 (01) :81-94

← 1 2 →