A Counterexample in Linear-Quadratic Games: Existence of Nonlinear Nash Solutions

被引：39

作者：

Basar, T. ^{[1
]}

机构：

[1] Sci & Tech Res Council Turkey, Marmara Res Inst, Gebze, Turkey

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 04期

关键词：

Game theory; linear-quadratic games; differential games; nonzero-sum games; Nash equilibria;

D O I：

10.1007/BF00933308

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：

Via a 2-stage linear-quadratic 2-person nonzero-sum game, we show that such decision problems might admit nonlinear Nash solutions. As compared with the linear strategy, a nonlinear Nash policy might lead to a better performance for at least one of the players.

引用

页码：425 / 430

页数：6