The ambivalent effect of lattice structure on a spatial game
Zhang, Hui ; Gao, Meng ; Li, Zizhen ; Maa, Zhihui ; Wang, Hailong
刊名PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
2011
卷号390期号:11页码:1961-1972
关键词Lattice-structured Populations Spiteful Mean-field Approximation Pair Approximation Tit-for-tat Prisoners-dilemma Evolution Cooperation Population Dynamics Models Altruism Ecology
ISSN号0378-4371
通讯作者Li, ZZ, Lanzhou Univ, Sch Math & Stat, Inst Bioinformat, Lanzhou 730000, Peoples R China.huizhang06@yahoo.com.cn ; zizhenlee@lzu.edu.cn
产权排序[Zhang, Hui; Li, Zizhen; Maa, Zhihui; Wang, Hailong] Lanzhou Univ, Sch Math & Stat, Inst Bioinformat, Lanzhou 730000, Peoples R China; [Gao, Meng] Yantai Inst Coastal Zone Res, Yantai 264003, Peoples R China; [Li, Zizhen] Lanzhou Univ, Sch Life Sci, Minist Educ, Key Lab Arid & Grassland Agroecol, Lanzhou 730000, Peoples R China
英文摘要The evolution of cooperation is studied in lattice-structured populations, in which each individual who adopts one of the following strategies 'always defect' (ALLD), 'tit-for-tat' (TFT), and 'always cooperate' (ALLC) plays the repeated Prisoner's Dilemma game with its neighbors according to an asynchronous update rule. Computer simulations are applied to analyse the dynamics depending on major parameters. Mathematical analyses based on invasion probability analysis, mean-field approximation, as well as pair approximation are also used. We find that the lattice structure promotes the evolution of cooperation compared with a non-spatial population, this is also confirmed by invasion probability analysis in one dimension. Meanwhile, it also inhibits the evolution of cooperation due to the advantage of being spiteful, which indicates the key role of specific life-history assumptions. Mean-field approximation fails to predict the outcome of computer simulations. Pair approximation is accurate in two dimensions but fails in one dimension. (C) 2010 Elsevier B.V. All rights reserved.
学科主题Physics, Multidisciplinary
公开日期2011-07-22
内容类型期刊论文
源URL[http://ir.yic.ac.cn/handle/133337/4918]  
专题烟台海岸带研究所_海岸带信息集成与综合管理实验室
推荐引用方式
GB/T 7714
Zhang, Hui,Gao, Meng,Li, Zizhen,et al. The ambivalent effect of lattice structure on a spatial game[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2011,390(11):1961-1972.
APA Zhang, Hui,Gao, Meng,Li, Zizhen,Maa, Zhihui,&Wang, Hailong.(2011).The ambivalent effect of lattice structure on a spatial game.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,390(11),1961-1972.
MLA Zhang, Hui,et al."The ambivalent effect of lattice structure on a spatial game".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 390.11(2011):1961-1972.
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