Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule
Evolutionary spatial game is a promising way to unravel the mystery of cooperation, and it has been well recognized that spatial structure could enable cooperation to persist. Schweitzer et al.’s lattice model provides an innovative method to solve the problem. In this paper, we conduct simulations...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/989024 |
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| _version_ | 1832564154122108928 |
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| author | Yanbing Yang Junhu Ruan Bin Liu Yi Liu Yan Shi |
| author_facet | Yanbing Yang Junhu Ruan Bin Liu Yi Liu Yan Shi |
| author_sort | Yanbing Yang |
| collection | DOAJ |
| description | Evolutionary spatial game is a promising way to unravel the mystery of cooperation, and it has been well recognized that spatial structure could enable cooperation to persist. Schweitzer et al.’s lattice model provides an innovative method to solve the problem. In this paper, we conduct simulations using the same von Neumann neighborhood as in Schweitzer et al.’s study (2002) and observe the effect of initial population and lattice size on the evolution of cooperation. Then, we extend the model with a more complicated Moore neighborhood and self-playing rule for each central player. Simulation results not only provide new evidence for the persistence of cooperation in the evolution with spatial structures, but also investigate critical conditions for the spatial coexistence or the invasion of cooperators and defectors with the more complicated neighborhood. |
| format | Article |
| id | doaj-art-d97399c9235244cb9c8b45655bf871f6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d97399c9235244cb9c8b45655bf871f62025-02-03T01:11:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/989024989024Evolution of Cooperation with Moore Neighborhood and Self-Playing RuleYanbing Yang0Junhu Ruan1Bin Liu2Yi Liu3Yan Shi4Department of Mathematics, Dalian Maritime University, Dalian 116024, ChinaInstitute of Systems Engineering, Dalian University of Technology, Dalian 116023, ChinaDepartment of Mathematics, Dalian Maritime University, Dalian 116024, ChinaDepartment of Mathematics, Dalian Maritime University, Dalian 116024, ChinaGeneral Education Center, Tokai University, 9-1-1 Toroku, Kumamoto 862-8652, JapanEvolutionary spatial game is a promising way to unravel the mystery of cooperation, and it has been well recognized that spatial structure could enable cooperation to persist. Schweitzer et al.’s lattice model provides an innovative method to solve the problem. In this paper, we conduct simulations using the same von Neumann neighborhood as in Schweitzer et al.’s study (2002) and observe the effect of initial population and lattice size on the evolution of cooperation. Then, we extend the model with a more complicated Moore neighborhood and self-playing rule for each central player. Simulation results not only provide new evidence for the persistence of cooperation in the evolution with spatial structures, but also investigate critical conditions for the spatial coexistence or the invasion of cooperators and defectors with the more complicated neighborhood.http://dx.doi.org/10.1155/2015/989024 |
| spellingShingle | Yanbing Yang Junhu Ruan Bin Liu Yi Liu Yan Shi Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule Discrete Dynamics in Nature and Society |
| title | Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule |
| title_full | Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule |
| title_fullStr | Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule |
| title_full_unstemmed | Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule |
| title_short | Evolution of Cooperation with Moore Neighborhood and Self-Playing Rule |
| title_sort | evolution of cooperation with moore neighborhood and self playing rule |
| url | http://dx.doi.org/10.1155/2015/989024 |
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