不确定参数下多目标博弈平衡的通有稳定性  

Generic Stability of Equilibria for Multiobjective Games Under Uncertain Parameters

作　　者：陈聪利 杨辉 王国玲 汤卫 CHEN Congli;YANG Hui;WANG Guoling;TANG Wei(School of Mathematics and Statistics,Guizhou University,Guiyang 550025;School of Information Engineering,Guizhou Open University,Guiyang 550023)

机构地区：[1]贵州大学数学与统计学院,贵阳550025 [2]贵州开放大学信息工程学院,贵阳550023

出　　处：《系统科学与数学》2024年第3期711-722,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(11271098);贵州省科技计划项目(黔科合基础-ZK[2022]一般168)资助课题。

摘　　要：文章研究了不确定参数下多目标博弈平衡的存在性及通有稳定性.首先,文章运用向量值Ky Fan不等式证明了该博弈弱Pareto-NS平衡的存在性.其次,运用Fort定理,证明了大多数不确定参数下多目标博弈弱Pareto-NS平衡都是本质稳定的.最后,通过具体算例验证了所得结论的合理性.In this paper,we study the existence and generic stability of equilibria for multiobjective games with uncertain parameters.We first use the vector val-ued Ky Fan inequality to prove the existence of weakly Pareto-NS equilibria for the games.Secondly,it is proven that the weakly Pareto-NS equilibria of most multi-objective games are essential under uncertain parameters by Fort theorem.Finally,these conclusions are verified by a specific example.

关 键 词：不确定参数 多目标博弈 弱Pareto-NS平衡 存在性 通有稳定性 

分 类 号：O225[理学—运筹学与控制论]