不确定参数下n人非合作博弈的逼近定理

doi:10.15960/j.cnki.issn.1007-6093.2025.01.009

运筹学学报（中英文） ›› 2025, Vol. 29 ›› Issue (1): 105-113.doi: 10.15960/j.cnki.issn.1007-6093.2025.01.009

不确定参数下n人非合作博弈的逼近定理

陈聪利¹, 杨辉¹^,*(), 杨光惠¹, 王春¹

1. 贵州大学数学与统计学院, 贵州贵阳 550025

收稿日期:2022-04-14 出版日期:2025-03-15 发布日期:2025-03-08
通讯作者: 杨辉 E-mail:huiyang@gzu.edu.cn
基金资助:
贵州省科技计划项目(No.黔科合基础[2019] 1067号);贵州大学引进人才科研项目(No.[2017] 59)

An approximation theorem for n-person non-cooperative games under uncertain parameters

Congli CHEN¹, Hui YANG¹^,*(), Guanghui YANG¹, Chun WANG¹

1. School of Mathematics and Statistics, Guizhou University, Guiyang 550025, Guizhou, China

Received:2022-04-14 Online:2025-03-15 Published:2025-03-08
Contact: Hui YANG E-mail:huiyang@gzu.edu.cn

摘要/Abstract

摘要：

在已知不确定参数变化范围的前提下, 本文研究了不确定参数下n人非合作博弈的逼近定理。基于有限理性思想, 我们证明了不确定参数下n人非合作博弈的逼近定理, 为其NS平衡的求解算法提供了一个理论支撑。进一步, 我们通过一个具体算例验证了该结论的合理性。

关键词: n人非合作博弈, 不确定参数, 有限理性, 逼近定理

Abstract:

In this paper, suppose that the range of varying uncertain parameters is known, an approximation theorem for n-person non-cooperative games with uncertain parameters is investigated. Based on the idea of bounded rationality, we prove the approximation theorem of n-person non-cooperative games with uncertain parameters, which provides a theoretical support for solving algorithm of NS-equilibria. In addition, we verify the rationality of this conclusion through a specific example.

Key words: n-person non-cooperative games, uncertain parameters, bounded rationality, approximation theorem

中图分类号:

O225

陈聪利, 杨辉, 杨光惠, 王春. 不确定参数下n人非合作博弈的逼近定理[J]. 运筹学学报（中英文）, 2025, 29(1): 105-113.

Congli CHEN, Hui YANG, Guanghui YANG, Chun WANG. An approximation theorem for n-person non-cooperative games under uncertain parameters[J]. Operations Research Transactions, 2025, 29(1): 105-113.

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不确定参数下n人非合作博弈的逼近定理

An approximation theorem for n-person non-cooperative games under uncertain parameters

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