| Adaptive co-evolution of strategies and network leading to optimal cooperation level in spatial prisoner’s dilemma game |
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| 引用本文： | 陈含爽,侯中怀,张季谦,辛厚文.Adaptive co-evolution of strategies and network leading to optimal cooperation level in spatial prisoner’s dilemma game[J].中国物理 B,2010,19(5):50205-050205. |
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| 作者姓名： | 陈含爽 侯中怀 张季谦 辛厚文 |
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| 作者单位： | Department of Chemical Physics, University of Science
and Technology of China, Hefei 230026, China;Department of Chemical Physics, University of Science
and Technology of China, Hefei 230026, China;Hefei
National Laboratory for Physical Sciences at Microscale,
University of Science and Technology of China, Hefei 230026, China;College of Physics and Electronic Information,
Anhui Normal University, Wuhu 241000, China;Department of Chemical Physics, University of Science
and Technology of China, Hefei 230026, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No.~20873130), the
Graduate Innovation Fund of USTC. |
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| 摘 要： | We study evolutionary prisoner’s dilemma game on adaptive networks where a population of players co-evolves with their interaction networks.During the co-evolution process,interacted players with opposite strategies either rewire the link between them with probability p or update their strategies with probability 1 p depending on their payoffs.Numerical simulation shows that the final network is either split into some disconnected communities whose players share the same strategy within each community or forms a single connected network in which all nodes are in the same strategy.Interestingly,the density of cooperators in the final state can be maximised in an intermediate range of p via the competition between time scale of the network dynamics and that of the node dynamics.Finally,the mean-field analysis helps to understand the results of numerical simulation.Our results may provide some insight into understanding the emergence of cooperation in the real situation where the individuals’ behaviour and their relationship adaptively co-evolve.
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| 关 键 词： | prisoner’s dilemma game adaptive network co-evolution cooperation |
| 收稿时间： | 2009-07-30 |
Adaptive co-evolution of strategies and network leading to optimal cooperation level in spatial prisoner's dilemma game |
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| Chen Han-Shuang,Hou Zhong-Huai,Zhang Ji-Qian and Xin Hou-Wen.Adaptive co-evolution of strategies and network leading to optimal cooperation level in spatial prisoner''s dilemma game[J].Chinese Physics B,2010,19(5):50205-050205. |
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| Authors: | Chen Han-Shuang Hou Zhong-Huai Zhang Ji-Qian and Xin Hou-Wen |
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| Affiliation: | College of Physics and Electronic Information,
Anhui Normal University, Wuhu 241000, China; Department of Chemical Physics, University of Science
and Technology of China, Hefei 230026, China; Department of Chemical Physics, University of Science
and Technology of China, Hefei 230026, China;Hefei
National Laboratory for Physical Sciences at Microscale,
University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | We study evolutionary prisoner's dilemma game on adaptive
networks where a population of players co-evolves with their
interaction networks. During the co-evolution process, interacted
players with opposite strategies either rewire the link between them
with probability $p$ or update their strategies with probability
$1-p$ depending on their payoffs. Numerical simulation shows that
the final network is either split into some disconnected communities
whose players share the same strategy within each community or forms
a single connected network in which all nodes are in the same
strategy. Interestingly, the density of cooperators in the final
state can be maximised in an intermediate range of $p$ via the
competition between time scale of the network dynamics and that of
the node dynamics. Finally, the mean-field analysis helps to
understand the results of numerical simulation. Our results may
provide some insight into understanding the emergence of cooperation
in the real situation where the individuals' behaviour and their
relationship adaptively co-evolve. |
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| Keywords: | prisoner's dilemma game adaptive network co-evolution cooperation |
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