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
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.
出版日期: 2015-01-20
:
87.23.Cc
(Population dynamics and ecological pattern formation)
87.23.Ge
(Dynamics of social systems)
87.23.Kg
(Dynamics of evolution)
89.75.Fb
(Structures and organization in complex systems)
05.65.+b
(Self-organized systems)
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[2]
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[3]
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[4]
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[5]
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[6]
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[7]
ZHONG Wei-Rong;SHAO Yuan-Zhi;HE Zhen-Hui. Correlated Noises in a Prey--Predator Ecosystem [J]. 中国物理快报, 2006, 23(3): 742-745.
[8]
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