多目标势博弈中弱Pareto-Nash平衡点  

Weakly Pareto-Nash equilibrium in multi-objective potential games

作　　者：李婵婵[1] 杨辉[1] 杨光惠[1] LI Chanchan YANG Hui YANG Guanghui(School of Mathematics and Computer Science, Guizhou University, Guiyang 550025, Chin)

机构地区：[1]贵州大学数学与统计学院,贵州贵阳550025

出　　处：《贵州科学》2017年第2期43-47,共5页Guizhou Science

基　　金：国家自然科学基金项目"多目标群体博弈与进化动力学的研究及应用";课题编号:11271098

摘　　要：定义了多目标势博弈模型及其弱Pareto-Nash平衡,进一步借助多目标优化理论中的最优性条件,证明了其势函数的弱Kuhn-Tucker点是该博弈的弱Pareto-Nash平衡点。In this paper,we defined the model of multi-objective potential games and its weakly Pareto-Nash equilibrium. Based on the optimality condition in multi-objective optimization theory, we proved that the weakly Kuhn- Tucker point of the potential function was the weakly Pareto-Nash equilibrium of multi-objective potential games.

关 键 词：多目标势博弈 弱Pareto-Nash平衡点 势函数 多目标优化 弱Kuhn-Tucker点 

分 类 号：O225[理学—运筹学与控制论]