| 不动点与平衡点 |
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| 引用本文： | 俞建,贾文生. 不动点与平衡点[J]. 运筹学学报, 2010, 24(2): 14-22. DOI: 10.15960/j.cnki.issn.1007-6093.2020.02.002 |
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| 作者姓名： | 俞建 贾文生 |
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| 作者单位： | 贵州大学数学与统计学院, 贵阳 550025 |
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| 基金项目： | 国家自然学科基金（No.11561013） |
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| 摘 要： | 介绍Brouwer不动点定理、Kakutani不动点定理与数理经济学中平衡点和博弈论中Nash平衡点存在性定理的等价性结果.
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| 关 键 词： | 不动点 平衡点 数理经济学 博弈论 |
| 收稿时间： | 2020-03-08 |
Fixed points and equilibrium points |
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| YU Jian,JIA Wensheng. Fixed points and equilibrium points[J]. OR Transactions, 2010, 24(2): 14-22. DOI: 10.15960/j.cnki.issn.1007-6093.2020.02.002 |
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| Authors: | YU Jian JIA Wensheng |
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| Affiliation: | College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China |
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| Abstract: | In this paper, we introduce some equivalence results of the existence theorem on Brouwer fixed point theorem, Kakutani fixed point theorem, equilibrium points of mathematical economics and Nash equilibrium theorem of game theory. |
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| Keywords: | fixed point equilibrium point mathematical economics game theory |
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