更优回应保障下n人非合作博弈Nash均衡解的良定性
Well-Posedness of Nash Equilibrium for n-Person Non-Cooperative Games under the Better-Reply security
DOI: 10.12677/orf.2024.142234, PDF,    国家自然科学基金支持
作者: 田 魏, 贾文生*：贵州大学数学与统计学院，贵州 贵阳
关键词: 不连续非合作博弈；良定性；更佳回应保障；Discontinous Non-Cooperrative Games； Well-Posedness； Better-Reply Security
摘要: 本文主要研究一类不连续条件更优回应保障下的n人非合作博弈良定性。首先在有限理性模型下给出良定性的一个新的充分条件。然后通过这个充分条件证明此类不连续博弈是良定的。更进一步得到了此类不连续博弈的Tykhonov良定性与Hadamard良定性。这些结果推广了已有文献的研究成果。
Abstract: This paper mainly studies the well-posedness of n-person non-cooperative games under the better-reply security. Firstly, a new sufficient condition of well-posedness is obtained under the bounded rational model. Furthermore, the Tykhonov well-posedness and Hadamard well-posedness of the discontinuous non-cooperative games are obtained. These results generalize some findings in recent literature.
文章引用：田魏, 贾文生. 更优回应保障下n人非合作博弈Nash均衡解的良定性[J]. 运筹与模糊学, 2024, 14(2): 1386-1392. https://doi.org/10.12677/orf.2024.142234

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