NEW MINIMAX INEQUALITY WITH APPLICATIONS TO EXISTENCE THEOREMS OF EQUILIBRIUM POINTS

被引:23
作者
TAN, KK [1 ]
YU, J [1 ]
机构
[1] GUIZHOU INST TECHNOL,INST APPL MATH,GUIZHOU,PEOPLES R CHINA
关键词
MINIMAX INEQUALITIES; TOPOLOGICAL VECTOR SPACES; N-PERSON GAMES; QUALITATIVE GAMES; EQUILIBRIUM POINTS; REFLEXIVE BANACH SPACES;
D O I
10.1007/BF02191782
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
A new minimax inequality is proved on a set which is the union of an increasing sequence of compact convex sets in a topological vector space. As applications, several existence theorems of equilibrium points for different games are obtained.
引用
收藏
页码:105 / 120
页数:16
相关论文
共 13 条
[1]  
[Anonymous], 1985, FIXED POINT THEOREMS, DOI DOI 10.1017/CBO9780511625756
[2]  
Aubin J. P., 1982, MATH METHODS GAME EC
[3]  
Borglin A., 1976, J MATH ECON, V3, P313
[4]  
CULLEN HF, 1968, INTRO GENERAL TOPOLO
[5]   EQUILIBRIA OF NONCOMPACT GENERALIZED GAMES WITH L-STAR-MAJORIZED PREFERENCE CORRESPONDENCES [J].
DING, XP ;
KIM, WK ;
TAN, KK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 164 (02) :508-517
[6]   A NEW MINIMAX INEQUALITY ON H-SPACES WITH APPLICATIONS [J].
DING, XP ;
KIM, WK ;
TAN, KK .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 41 (03) :457-473
[7]  
Ding XP., 1992, C MATH, V63, P233
[8]  
Fan K., 1972, INEQUALITIES, VIII, P103
[9]  
Gale D., 1978, EQUILIBRIUM DISEQUIL, P7