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Natural selection between two games with environmental feedback
Yuan, Hairui; Meng, Xinzhu; Li, Zhenqing1
2021
发表期刊INTERNATIONAL JOURNAL OF BIOMATHEMATICS
ISSN1793-5245
卷号14期号:7
摘要Evolutionary game theory has extensively investigated situations in which several games are competing against each other at the same time, but the model only assumes symmetric interactions in homogeneous environments. Now, the population is considered in heterogeneous environments, individuals in the population occupy a different quality of patches, and individual fitness depends not only on the interaction between individuals, but also on the quality of the environment. Here, by establishing a mathematical framework, we analyze the natural selection between two strategies and two games in heterogeneous environments. Furthermore, we analyze the natural selection of Prisoner's Dilemma and Hawk-Dove games theoretically to demonstrate the dynamics of cooperators and defectors in their choice of environment and their respective games. As expected, the distribution of games and strategies changes with time. Based on different initial population compositions, we also discuss the invasion problem of games from different perspectives. To one's surprise, we can find that good quality patches attract all individuals; the long-term dynamics in invariant rich environments is the same as the dynamics of symmetric interactions in homogeneous environments.
关键词Evolutionary game theory Heterogeneous environment HKV method Hawk-Dove Prisoner's dilemma
学科领域Mathematical & Computational Biology
DOI10.1142/S1793524521500558
收录类别SCI
语种英语
WOS关键词REPLICATOR EQUATIONS ; IMITATION DYNAMICS ; STABLE STRATEGIES ; EVOLUTIONARY ; MODELS
WOS研究方向Science Citation Index Expanded (SCI-EXPANDED)
WOS记录号WOS:000702906100004
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
文献子类Article
出版地SINGAPORE
EISSN1793-7159
资助机构Research Fund for the Taishan Scholar Project of Shandong Province of China ; Shandong Provincial Natural Science Foundation of China [ZR2019MA003]
作者邮箱17865828199@163.com ; mxz721106@sdust.edu.cn
引用统计
被引频次:7[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ibcas.ac.cn/handle/2S10CLM1/26822
专题植被与环境变化国家重点实验室
作者单位1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
2.Chinese Acad Sci, Inst Bot, State Key Lab Vegetat & Environm Change, Beijing 100093, Peoples R China
推荐引用方式
GB/T 7714
Yuan, Hairui,Meng, Xinzhu,Li, Zhenqing. Natural selection between two games with environmental feedback[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS,2021,14(7).
APA Yuan, Hairui,Meng, Xinzhu,&Li, Zhenqing.(2021).Natural selection between two games with environmental feedback.INTERNATIONAL JOURNAL OF BIOMATHEMATICS,14(7).
MLA Yuan, Hairui,et al."Natural selection between two games with environmental feedback".INTERNATIONAL JOURNAL OF BIOMATHEMATICS 14.7(2021).
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