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多目标对策的弱Pareto-Nash平衡点集的稳定性研究
引用本文:余孝军.多目标对策的弱Pareto-Nash平衡点集的稳定性研究[J].数学的实践与认识,2008,38(21).
作者姓名:余孝军
摘    要:通过定义多目标对策的加权Nash平衡点集,得出它和对应对策的弱Pareto-Nash平衡点集之间的关系,证明了在一定条件下的多目标对策的弱Pareto-Nash平衡点集的稳定性.

关 键 词:加权Nash平衡  弱Pareto-Nash平衡点集  几乎下半连续

The Stability of the Set of Weakly Pareto-Nash Equilibrium Points
YU Xiao-jun.The Stability of the Set of Weakly Pareto-Nash Equilibrium Points[J].Mathematics in Practice and Theory,2008,38(21).
Authors:YU Xiao-jun
Abstract:We first define the weight Nash equilibrium set of multiobjective games.Then we get the relative of it and the weakly Pareto-Nash equilibrium set.Finally,we prove the stability of the weakly Pareto-Nash equilibrium set of multiobjective games.
Keywords:weight Nash equilibrium  weakly Pareto-Nash equilibrium set  almost lower continuity
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