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

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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 Hadamard Well-Posedness of Weakly Pareto-Nash Equilibria for Discontinuous Multiobjective Games
The existence and well-posedness of the solution for discontinuous multiobjective games are mainly con-sidered.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.

discontinuous multiobjective gamesbetter-reply secureweakly Pareto-Nash equilibriumHadamard well-posedness

田魏、贾文生

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贵州大学数学与统计学院,贵州贵阳 550025

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

国家自然科学基金国家自然科学基金贵州省自然科学基金贵州省自然科学基金贵州省自然科学基金

120610207196100320205016202108820215640

2024

江西师范大学学报(自然科学版)
江西师范大学

江西师范大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.538
ISSN:1000-5862
年,卷(期):2024.48(2)
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