Nash equilibrium payoffs for nonzero-sum stochastic differential games

被引:70
作者
Buckdahn, R [1 ]
Cardaliaguet, P [1 ]
Rainer, C [1 ]
机构
[1] Univ Bretagne Occidentale, Dept Math, F-29285 Brest, France
关键词
nonzero-sum differential game; stochastic differential game; Nash equilibrium;
D O I
10.1137/S0363012902411556
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Existence and characterization of Nash equilibrium payoffs are proved for stochastic nonzero- sum differential games.
引用
收藏
页码:624 / 642
页数:19
相关论文
共 9 条
[1]   Stochastic games for N players [J].
Bensoussan, A ;
Frehse, J .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 105 (03) :543-565
[2]   ON THE EXISTENCE OF VALUE-FUNCTIONS OF 2-PLAYER, ZERO-SUM STOCHASTIC DIFFERENTIAL-GAMES [J].
FLEMING, WH ;
SOUGANIDIS, PE .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (02) :293-314
[3]   Nonzero sum linear-quadratic stochastic differential games and backward-forward equations [J].
Hamadène, S .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1999, 17 (01) :117-130
[4]  
Hamadene S., 1997, Backward stochastic differential equations (Paris, 1995- 1996), V364, P115
[5]  
Kleimenov A.F., 1993, NONANTAGONIST DIFFER
[6]  
KONONENKO AF, 1976, DOKL AKAD NAUK SSSR+, V231, P285
[8]  
RAINER C, 2003, UNPUB FEEDBACK CONTR
[9]   COOPERATIVE EQUILIBRIA IN DIFFERENTIAL-GAMES [J].
TOLWINSKI, B ;
HAURIE, A ;
LEITMANN, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 119 (1-2) :182-202