QUASI-CONVEX MULTIOBJECTIVE GAME---SOLUTION CONCEPTS,EXISTENCE AND SCALARIZATION

Citation:

Li Yuanxi.QUASI-CONVEX MULTIOBJECTIVE GAME---SOLUTION CONCEPTS,EXISTENCE AND SCALARIZATION[J].Chinese Annals of Mathematics B,1995,16(2):233~238
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Authors:

Li Yuanxi;
Abstract: This paper deals with the solution concepts, scalarization and existence of solutions for multiobjective generalized game. The scalarization method used in this paper can characterize completely the solutions and be applied to prove the existence of solutions for quasi-convex multiobjective generalized game. On the other hand, a new concept of security strategy is introduced and its existence is proved. At last, some relations between these solutions are established.

Keywords:

Multiobjective generalized game, Pareto-optimal absolute security strategy,Pareto-optimal weakly efficient security strategy.

Classification:

90D
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