[1]何基好,向淑文,贾文生,等.基于有限理性的信息集广义多目标博弈[J].深圳大学学报理工版,2018,35(1):105-109.[doi:10.3724/SP.J.1249.2018.01105]
　HE Jihao,XIANG Shuwen,et al.Information set generalized multi-objective games based on bounded rationality[J].Journal of Shenzhen University Science and Engineering,2018,35(1):105-109.[doi:10.3724/SP.J.1249.2018.01105]
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基于有限理性的信息集广义多目标博弈()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第35卷
期数:
2018年第1期
页码:
105-109
栏目:
数学与应用数学
出版日期:
2018-01-12

文章信息/Info

Title:
Information set generalized multi-objective games based on bounded rationality
文章编号:
201801016
作者:
何基好1; 2; 向淑文2; 贾文生2; 邓喜才3
1）贵州大学计算机科学与技术学院，贵州贵阳 550025
2）贵州大学数学与统计学院，贵州贵阳 550025
3）贵州师范学院数学与计算机系，贵州贵阳 550018
Author(s):
HE Jihao1;  2;  XIANG Shuwen2;  JIA Wensheng2;  and DENG Xicai3
1) College of Computer Science and Technology, Guizhou University, Guiyang 550025, Guizhou Province, P.R.China
2) School of Mathematics and Statistics, Guizhou University, Guiyang 550025, Guizhou Province, P.R.China
3) Department of Mathematics and Computer, Guizhou Normal College, Guiyang 550018, Guizhou Province, P.R.China
关键词:
运筹学; 博弈论; 信息集广义多目标博弈; 弱Pareto-Nash平衡点; 有限理性; 稳定性
Keywords:
operation research;  game theory;  information sets generalized multio-bjective game;  weak Pareto-Nash equilibrium point;  bounded rationality;  stability
分类号:
O 177.9
DOI:
10.3724/SP.J.1249.2018.01105
文献标志码:
A
摘要:
研究基于有限理性的信息集广义多目标博弈的弱Pareto-Nash平衡问题的稳定性.在信息集广义多目标博弈的弱Pareto-Nash平衡问题的度量空间是完备度量空间的结论下,运用博弈论语言描述的有限理性模型建立此问题的有限理性模型,通过验证一些假设得到，弱Pareto-Nash平衡问题是结构稳定的,对ε-平衡是鲁棒的.
Abstract:
On the base of the bounded rationality, we investigate the stability of the problem of the weak Pareto-Nash equilibrium for information set generalized multi-objective games. Based on the conclusion that the metric space of the problem of information set generalized multi-objective games are complete, the bounded rationality model is established according to the bounded rationality model described by the game theory language, and the result shows that the problem of the weak Pareto-Nash equilibrium is structurally stable and robust to ε-equilibrium by identifying some assumptions.

参考文献/References:

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备注/Memo

备注/Memo:
Received：2017-06-08；Accepted：2017-10-10
Foundation：National Natural Science Foundation of China(11561013,11761023); Ph.D. Programs Foundation of Ministry of Education of China(20115201110002)
Corresponding author：Professor XIANG Shuwen．E-mail: shwxiang@vip.163.com
Citation：HE Jihao，XIANG Shuwen，JIA Wensheng, et al．Information set generalized multi-objective games based on bounded rationality［J］. Journal of Shenzhen University Science and Engineering, 2018, 35(1): 105-109.（in Chinese）
基金项目：国家自然科学基金资助项目（11561013,11761023）; 教育部博士点基金资助项目（20115201110002）
作者简介：何基好(1976—),男,贵州大学数学与统计学院讲师.研究方向:博弈论与非线性分析. E-mail:jhhe1@gzu.edu.cn
引文：何基好,向淑文,贾文生,等.基于有限理性的信息集广义多目标博弈［J］. 深圳大学学报理工版，2018，35(1)：105-109.
更新日期/Last Update: 2017-12-22