[1]牟玉霜,贾文生*.不连续多目标博弈的逼近定理[J].江西师范大学学报(自然科学版),2022,(06):606-609.[doi:10.16357/j.cnki.issn1000-5862.2022.06.07]
　MOU Yushuang,JIA Wensheng*.The Approximation Theorem for Discontinuous Multiobjective Games[J].Journal of Jiangxi Normal University:Natural Science Edition,2022,(06):606-609.[doi:10.16357/j.cnki.issn1000-5862.2022.06.07]
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不连续多目标博弈的逼近定理()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2022年06期
页码:
606-609
栏目:
数学与应用数学
出版日期:
2022-11-25

文章信息/Info

Title:
The Approximation Theorem for Discontinuous Multiobjective Games
文章编号:
1000-5862(2022)05-0606-04
作者:
牟玉霜; 贾文生*
贵州大学数学与统计学院,贵州 贵阳 550025)
Author(s):
MOU Yushuang; JIA Wensheng*
College of Mathematics and Statistics,Guizhou University,Guiyang Guizhou 550025,China)
关键词:
不连续博弈;  逼近定理;  有限理性
Keywords:
discontinuous games;  approximation theorem;  bounded rationality
分类号:
O 225
DOI:
10.16357/j.cnki.issn1000-5862.2022.06.07
文献标志码:
A
摘要:
逼近定理是最优化问题、博弈问题等若干非线性问题的重要研究内容.该文针对一类不连续多目标博弈,给出了在有限理性条件下该博弈问题的逼近定理,为有关不连续多目标博弈问题的稳定性和求解算法提供了理论支持,并反映了不连续多目标博弈问题的有限理性是对完全理性的逼近.
Abstract:
Approximation theorem is an important topic of nonlinear problems,such as optimization problems,game problems and so on.In this paper,an approximation theorem for a class of discontinuous multiobjective games under the bounded rationality is given,which provides a theoretical support for the stability and algorithm of discontinuous multiobjective game problems,and it reflects that the bounded rationality of the discontinuous multiobjective game problems is the approximation of full rationality.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2022-08-10
基金项目:国家自然科学基金(12061020,71961003),贵州省自然科学基金(20201Y284,20205016,2021088)和贵州大学科研基金(201811)资助项目.
通信作者:贾文生(1981—),男,河南南阳人,教授,博士,博士生导师,主要从事非线性分析与博弈论研究.E-mail:wsjia@gzu.edu.cn
更新日期/Last Update: 2022-11-25