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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 |
ISSN | 1793-5245 |
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 |
DOI | 10.1142/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 |
EISSN | 1793-7159 |
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 | |
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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文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
_Applet_2023-01-17_0(1377KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 请求全文 |
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