It is well known that individual behavior will be influenced by the environment, and likewise, the environment will also change as the individual behavior changes. Based on the voluntary prisoner’s dilemma game proposed by Szabó et al., we propose a form of environmental feedbacks reflected in individual fitness in spatial structured population. Through theoretical analysis and numerical simulation, it is found that the level of the cooperation can be improved when the environmental feedback is taken into account. There exists a critical value for the parameter of the temptation to defect () that the frequency of cooperators undergoes a sudden rapid increase when increase and the cooperators could completely dominate the whole population.

中文翻译：

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环境反馈下自愿囚徒困境博弈的进化动力学

众所周知，个体的行为会受到环境的影响，同样，环境也会随着个体行为的改变而改变。基于 Szabó 等人提出的自愿囚徒困境博弈，我们提出了一种反映在空间结构群体中个体适应性的环境反馈形式。通过理论分析和数值模拟发现，考虑环境反馈可以提高合作水平。背叛诱惑参数（）存在一个临界值，即合作者的频率在增加时突然快速增加，并且合作者可以完全支配整个群体。