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稳定匹配问题中的纳什均衡

王烨 李雨生

同济大学学报(自然科学版)2013,Vol.41Issue(1):155-158,4.
同济大学学报(自然科学版)2013,Vol.41Issue(1):155-158,4.DOI:10.3969/j.issn.0253-374x.2013.01.026

稳定匹配问题中的纳什均衡

Nash Equilibrium in Stable Matching Problems

王烨 1李雨生1

作者信息

  • 1. 同济大学数学系,上海200092
  • 折叠

摘要

Abstract

We consider the stable matching problem in graph theory, and find the stable matching actually follows the principal of Nash equilibrium. In addition, a program of GS algorithm for solutions is conducted. A matching problem is also given and the solution is obtained with the Matlab program. Finally, the study results are extended to the coloring problem and shortest path problem.

关键词

稳定匹配/纳什均衡/GS算法

Key words

stable matching/ Nash equilibrium/ GS algorithm

分类

数理科学

引用本文复制引用

王烨,李雨生..稳定匹配问题中的纳什均衡[J].同济大学学报(自然科学版),2013,41(1):155-158,4.

同济大学学报(自然科学版)

OA北大核心CSCDCSTPCD

0253-374X

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