Evolutionary games and spatial periodicity
Spatial interactions are considered an important factor influencing a variety of evolutionary processes that take place in structured populations. It still remains an open problem to fully understand evolutionary game dynamics on networks except for certain limiting scenarios such as weak selection....
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2023-05-01
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| Series: | Journal of Automation and Intelligence |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S294985542300014X |
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| _version_ | 1850278420841234432 |
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| author | Te Wu Feng Fu Long Wang |
| author_facet | Te Wu Feng Fu Long Wang |
| author_sort | Te Wu |
| collection | DOAJ |
| description | Spatial interactions are considered an important factor influencing a variety of evolutionary processes that take place in structured populations. It still remains an open problem to fully understand evolutionary game dynamics on networks except for certain limiting scenarios such as weak selection. Here we study the evolutionary dynamics of spatial games under strong selection where strategy evolution of individuals becomes deterministic in a fashion of winners taking all. We show that the long term behavior of the evolutionary process eventually converges to a particular basin of attraction, which is either a periodic cycle or a single fixed state depending on specific initial conditions and model parameters. In particular, we find that symmetric starting configurations can induce an exceedingly long transient phase encompassing a large number of aesthetic spatial patterns including the prominent kaleidoscopic cooperation. Our finding holds for any population structure and a broad class of finite games beyond the Prisoner’s Dilemma. Our work offers insights into understanding evolutionary dynamics of spatially extended systems ubiquitous in biology and ecology. |
| format | Article |
| id | doaj-art-04300cf84b684582bd37eba3589cdf9f |
| institution | OA Journals |
| issn | 2949-8554 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Journal of Automation and Intelligence |
| spelling | doaj-art-04300cf84b684582bd37eba3589cdf9f2025-08-20T01:49:31ZengKeAi Communications Co., Ltd.Journal of Automation and Intelligence2949-85542023-05-0122798610.1016/j.jai.2023.05.001Evolutionary games and spatial periodicityTe Wu0Feng Fu1Long Wang2Center for Complex Systems, Xidian University, Xi’an, ChinaDepartment of Mathematics, Dartmouth College, Hanover, NH, United States of America; Corresponding authors.Center for Systems and Control, College of Engineering, Peking University, Beijing, China; Corresponding authors.Spatial interactions are considered an important factor influencing a variety of evolutionary processes that take place in structured populations. It still remains an open problem to fully understand evolutionary game dynamics on networks except for certain limiting scenarios such as weak selection. Here we study the evolutionary dynamics of spatial games under strong selection where strategy evolution of individuals becomes deterministic in a fashion of winners taking all. We show that the long term behavior of the evolutionary process eventually converges to a particular basin of attraction, which is either a periodic cycle or a single fixed state depending on specific initial conditions and model parameters. In particular, we find that symmetric starting configurations can induce an exceedingly long transient phase encompassing a large number of aesthetic spatial patterns including the prominent kaleidoscopic cooperation. Our finding holds for any population structure and a broad class of finite games beyond the Prisoner’s Dilemma. Our work offers insights into understanding evolutionary dynamics of spatially extended systems ubiquitous in biology and ecology.http://www.sciencedirect.com/science/article/pii/S294985542300014XSpatial gamesEvolutionary dynamicsPeriodic cyclesKaleidoscopic cooperationSpatial reciprocity |
| spellingShingle | Te Wu Feng Fu Long Wang Evolutionary games and spatial periodicity Journal of Automation and Intelligence Spatial games Evolutionary dynamics Periodic cycles Kaleidoscopic cooperation Spatial reciprocity |
| title | Evolutionary games and spatial periodicity |
| title_full | Evolutionary games and spatial periodicity |
| title_fullStr | Evolutionary games and spatial periodicity |
| title_full_unstemmed | Evolutionary games and spatial periodicity |
| title_short | Evolutionary games and spatial periodicity |
| title_sort | evolutionary games and spatial periodicity |
| topic | Spatial games Evolutionary dynamics Periodic cycles Kaleidoscopic cooperation Spatial reciprocity |
| url | http://www.sciencedirect.com/science/article/pii/S294985542300014X |
| work_keys_str_mv | AT tewu evolutionarygamesandspatialperiodicity AT fengfu evolutionarygamesandspatialperiodicity AT longwang evolutionarygamesandspatialperiodicity |