弱伪连续向量值函数及其在多目标博弈中的应用

Abstract

Abstract: In this paper, based on the study of pseudocontinuous real-valued functions, a definition of the weakly pseudocontinuous of vector-valued functions on cone is proposed. And a weakly pseudocontinuous relationship is established between the vector-valued functions on $R_+^k$ and the real-valued functions. As an application of the weakly pseudocontinuous of vector-valued functions on cone, the existence theorem of weakly Pareto-Nash equilibrium in multi-objective games with the pseudocontinuous payoffs is proved by the improved vector-valued Ky Fan points.

Key words: weakly pseudocontinuous, vector-valued functions, vector-valued Ky Fan points, multi-objective games

CLC Number:

O225

ZHANG Guang, WU Donghua, GAO Jing. The weakly pseudocontinuous of vector-valued functions and the application in multi-objective games[J]. Operations Research Transactions, 2015, 19(1): 92-98.

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The weakly pseudocontinuous of vector-valued functions and the application in multi-objective games

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