囚徒困境
困境
物理
晋升(国际象棋)
机制(生物学)
国家(计算机科学)
价值(数学)
对比度(视觉)
统计物理学
计算机科学
数理经济学
经济
量子力学
机器学习
政治学
数学
算法
光学
法学
政治
几何学
作者
Wenwen Lu,Juan Wang,Chengyi Xia
出处
期刊:Physics Letters
[Elsevier]
日期:2018-10-01
卷期号:382 (42-43): 3058-3063
被引量:44
标识
DOI:10.1016/j.physleta.2018.07.049
摘要
We investigate the impact of memory effect on the evolution of cooperation in the spatial prisoner's dilemma game, in which each player will record his own strategies during the previous M game rounds (here, M is also named as the memory length). At each time step, each individual will update his current strategy according to the Fermi-like probability which will be multiplied by a pre-factor, and this factor will be correlated with the fraction of previous strategy states identical with the individual strategy to be updated. The numerical simulation results demonstrate that the memory length will largely influence the cooperation level at the stationary state, and it is clearly shown that the intermediate value of M will optimally favor the emergence of cooperation and the dynamical evolution, and characteristic patterns also support these conclusions. In addition, we depict the full cooperation phase diagrams and find that the cooperation region will be broadened under the case of moderate M values. The current results also indicate that the limited memory may be enough for us to design the effective promotion mechanism and further understand the emergency of cooperation taking place upon many networked populations.
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