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介绍性综述“石头剪刀布游戏”(14天内开放获取)

已有 3328 次阅读 2015-3-31 15:15 |个人分类:有所思|系统分类:论文交流| 石头剪刀布, 非合作博弈, 非平衡现象

这是我为英国期刊 Contemporary Physics 撰写的一篇介绍性综述(目标读者为大学生、研究生),论文全文阅读/下载地址为:

http://www.tandfonline.com/doi/full/10.1080/00107514.2015.1026556#abstract

 

Hai-Jun Zhou, The Rock--Paper--Scissors game,

Contemporary Physics 2015, DOI:10.1080/00107514.2015.1026556


Rock–Paper–Scissors (RPS), a game of cyclic dominance, is not merely a popular children’s game but also a basic model system for studying decision-making in non-cooperative strategic interactions. Aimed at students of physics with no background in game theory, this paper introduces the concepts of Nash equilibrium and evolutionarily stable strategy, and reviews some recent theoretical and empirical efforts on the non-equilibrium properties of the iterated RPS, including collective cycling, conditional response patterns and microscopic mechanisms that facilitate cooperation. We also introduce several dynamical processes to illustrate the applications of RPS as a simplified model of species competition in ecological systems and price cycling in economic markets.


 




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