论文标题

年龄结构,复制器方程和囚犯的困境

Age structure, replicator equation, and the prisoner's dilemma

论文作者

John, Sona, Müller, Johannes

论文摘要

我们研究了在弱频率依赖性选择下,年龄结构群体的进化动力学。事实证明,薄弱的选择会受到生活历史的特征以非平凡的方式影响。我们可以根据不同时间尺度的外观来解散动力学。这些时间尺度似乎在弱选择和生活历史特征的相互作用中形成了通用结构,使我们能够将无限的维度模型降低为一维修改的复制器方程。然后,修改后的复制器方程用于通过适应性动态来调查合作(囚犯的困境)。我们确定年龄结构能够促进合作的条件。最后,我们讨论了我们发现的相关性。

We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We can disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified replicator equation is then used to investigate cooperation (the prisoner's dilemma) by means of adaptive dynamics. We identify conditions under which age structure is able to promote cooperation. At the end we discuss the relevance of our findings.

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