不连续多目标博弈弱Pareto-Nash均衡解的存在性与Hadamard良定性  

The Existence and Hadamard Well-Posedness of Weakly Pareto-Nash Equilibria for Discontinuous Multiobjective Games

作　　者：田魏 贾文生 TIAN Wei;JIA Wensheng(College of Mathematics andStatistics,Guizhou University,Guiyang Guizhou 550025,China)

机构地区：[1]贵州大学数学与统计学院,贵州贵阳550025

出　　处：《江西师范大学学报（自然科学版）》2024年第2期183-188,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12061020,71961003);贵州省自然科学基金(20205016,2021088,20215640)资助项目.

摘　　要：该文主要考虑不连续多目标博弈问题解的存在性和良定性.首先将不连续条件更优回应保障推广到n人多目标博弈,证明了其弱Pareto-Nash均衡点的存在性定理.更进一步地,研究了此类不连续n人多目标博弈的Hadamard良定性.这些结果推广了P.J.Reny等的研究成果.The existence and well-posedness of the solution for discontinuous multiobjective games are mainly considered.Firstly,the discontinuous condition better-reply security is generalized to n-person multiobjective games,and the existence of weakly Pareto-Nash equilibrium points is proved.Furthermore,the Hadamard well-posedness of such discontinuous n-person multiobjective games is considered.These results generalize the findings of P.J.Reny et al.

关 键 词：不连续多目标博弈 更优回应保障 弱Pareto-Nash均衡 Hadamard良定性 

分 类 号：O225[理学—运筹学与控制论]