A Characterization of Efficient Saddle Point for Set-Valued Maps
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.
set-valued optimization saddle point efficient solution nonlinear scalarization
Tamaki Tanaka Syuuji Yamada
Graduate School of Science and Technology, Niigata University, Japan
国际会议
第二届中国对策论及其应用国际学术会议(The Second International Conference on Game Theory and Applications)
青岛
英文
183-185
2007-09-17(万方平台首次上网日期,不代表论文的发表时间)