A Characterization of Efficient Saddle Point for Set-Valued Maps

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.