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QUASI-CONVEX MULTIOBJECTIVE GAME---SOLUTION CONCEPTS,EXISTENCE AND SCALARIZATION |
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Citation: |
Li Yuanxi.QUASI-CONVEX MULTIOBJECTIVE GAME---SOLUTION CONCEPTS,EXISTENCE AND SCALARIZATION[J].Chinese Annals of Mathematics B,1995,16(2):233~238 |
Page view: 1122
Net amount: 704 |
Authors: |
Li Yuanxi; |
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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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