运筹学学报 ›› 2020, Vol. 24 ›› Issue (2): 14-22.doi: 10.15960/j.cnki.issn.1007-6093.2020.02.002

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不动点与平衡点

俞建, 贾文生*   

  1. 贵州大学数学与统计学院, 贵阳 550025
  • 收稿日期:2020-03-08 发布日期:2020-06-13
  • 通讯作者: 贾文生 E-mail:wsjia@gzu.edu.cn
  • 基金资助:
    国家自然学科基金(No.11561013)

Fixed points and equilibrium points

YU Jian, JIA Wensheng*   

  1. College of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
  • Received:2020-03-08 Published:2020-06-13

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.

关键词: 不动点, 平衡点, 数理经济学, 博弈论

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.

Key words: fixed point, equilibrium point, mathematical economics, game theory

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