| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Environment-Dependent Payoffs in Finite Populations |
| XU Wei-Hong, ZHANG Yan-Ling**, XIE Guang-Ming, FENG Xue |
Center for Systems and Control, State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871
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| Cite this article: |
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XU Wei-Hong, ZHANG Yan-Ling, XIE Guang-Ming et al 2015 Chin. Phys. Lett. 32 028701 |
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Abstract In finite population games with weak selection and large population size, when the payoff matrix is constant, the one-third law serves as the condition of a strategy to be advantageous. We generalize the result to the cases of environment-dependent payoff matrices which exhibit the feedback from the environment to the population. Finally, a more general law about cooperation-dominance is obtained.
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Published: 20 January 2015
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| PACS: |
87.23.Cc
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(Population dynamics and ecological pattern formation)
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87.23.Ge
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(Dynamics of social systems)
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87.23.Kg
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(Dynamics of evolution)
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89.75.Fb
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(Structures and organization in complex systems)
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05.65.+b
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(Self-organized systems)
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Abstract
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