| 活跃连接下Wright-Fisher过程的演化动态 |
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| 引用本文： | 刘红胜,刘心声.活跃连接下Wright-Fisher过程的演化动态[J].生物数学学报,2010(3):533-542. |
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| 作者姓名： | 刘红胜 刘心声 |
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| 作者单位： | 南京航空航天大学高新技术研究院理学院,江苏南京210016 |
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| 基金项目： | 国家自然科学基金（10971097 10732040）资助; 国家973计划（2007CB936204）资助. |
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| 摘 要： | 在活跃连接下讨论了2×2对称博弈中频率相依Wright-Fisher过程的演化动力学,得到弱选择下策略的固定概率.利用固定概率讨论囚徒困境与雪堆博弈的演化动态,给出促使合作行为的条件.最后对所得结果进行数值模拟,发现活跃连接可以有效地促进合作行为.
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| 关 键 词： | Wright-Fisher过程 固定概率 囚徒困境 雪堆博弈 |
Evolutionary Dynamics of Wright-Fisher Process under Active Linking |
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| LIU Hong-sheng,LIU Xin-sheng.Evolutionary Dynamics of Wright-Fisher Process under Active Linking[J].Journal of Biomathematics,2010(3):533-542. |
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| Authors: | LIU Hong-sheng LIU Xin-sheng |
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| Institution: | (Academy of Frontier Science,and College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing Jiangsu 210016 China) |
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| Abstract: | This paper studies evolutionary dynamics of frequency-dependent Wright-Fisher process in 2×2 symmetric game under active linking.We give the concrete presentation of fixation probabilities under weak selection and study evolutionary dynamics of Prisoner＇s dilemma and Snowdrift game by means of fixation probabilities.We also give the conditions which can lead to cooperative behavior.Finally,some numerical simulations are presented,and the results show that active linking can facilitate cooperative behavior effectively. |
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| Keywords: | Wright-Fisher process Fixation probability Prisoner＇s dilemma Snowdrift game |
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