Stable strategy analysis of Nash and evolutionary equilibrium based on N-person cooperative games

doi:10.3778/j.issn.1002-8331.2010.17.004

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (17): 11-14.DOI: 10.3778/j.issn.1002-8331.2010.17.004

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Stable strategy analysis of Nash and evolutionary equilibrium based on N-person cooperative games

HUANG Wu-jun¹，LIU Tian-hu²，XU Wei-sheng²，WU Qi-di^1，2

1.School of Economics & Management，Tongji University，Shanghai 200092，China
2.School of Electronics and Information Engineering，Tongji University，Shanghai 200092，China

Received:2010-02-03 Revised:2010-05-04 Online:2010-06-11 Published:2010-06-11
Contact: HUANG Wu-jun

N人合作博弈的Nash及演化均衡稳定策略分析

黄武军¹，刘天虎²，许维胜²，吴启迪^1，2

1.同济大学经济与管理学院，上海 200092
2.同济大学电子与信息工程学院，上海 200092

通讯作者: 黄武军

Abstract

Abstract: This paper analyzes the symmetric Nash equilibrium of N-person cooperative games based on bounded rationality.And the stable strategy of evolutionary equilibrium is realized through adopting evolutionary games theory and the equilibrium points are got under different strategies.Furthermore，by using mechanism of replicator dynamic，the stable set of replicator dynamic is researched under discrete time and continuous time.Eventually，a practical example is provided to illustrate the validity of this method for the selection of game equilibrium.

Key words: cooperative games, evolutionary equilibrium, stable strategy

摘要： 在有限理性的基础上，对N人合作博弈的对称Nash均衡进行了分析，并引入演化博弈理论分析了参与人的演化均衡稳定策略，得到了不同策略选择下的均衡点。进而应用生物复制动态理论对离散时间及连续时间下的复制动态稳定集进行了研究。最后通过实例说明了该方法在博弈均衡选择上的有效性。

关键词: 合作博弈, 演化均衡, 稳定策略

CLC Number:

C934

HUANG Wu-jun¹，LIU Tian-hu²，XU Wei-sheng²，WU Qi-di^1，2. Stable strategy analysis of Nash and evolutionary equilibrium based on N-person cooperative games[J]. Computer Engineering and Applications, 2010, 46(17): 11-14.

黄武军¹，刘天虎²，许维胜²，吴启迪^1，2. N人合作博弈的Nash及演化均衡稳定策略分析[J]. 计算机工程与应用, 2010, 46(17): 11-14.

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Stable strategy analysis of Nash and evolutionary equilibrium based on N-person cooperative games

N人合作博弈的Nash及演化均衡稳定策略分析

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