A characterization of efficient saddle point for set-valued maps

被引：0

作者：

Tanaka, Tamaki ^{[1
]}

Yamada, Syuuji ^{[1
]}

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Niigata 95021, Japan

来源：

Proceedings of the Second International Conference on Game Theory and Applications | 2007年

关键词：

set-valued optimization; saddle point; efficient solution; nonlinear scalarization;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a certain mathematical methodology on the comparison between sets in an ordered vector space, and we consider its application to Multicriteria game theory. By using nonlinear scalarization methods for set-valued optimization problems, we obtain optimality conditions for efficient solutions of such Multicriteria optimization problems. As an application, we observe efficient-like concepts for saddle point of set-valued maps.

引用

页码：183 / 185

页数：3

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