A finite population destroys a traveling wave in spatial replicator dynamics
A finite population destroys a traveling wave in spatial replicator dynamics
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DOI：
10.1016/j.chaos.2021.110847
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发表时间：
2021-05
影响因子：
7.8
通讯作者：
C. Griffin;Riley O. Mummah;Russ deForest
中科院分区：
文献类型：
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作者：
C. Griffin;Riley O. Mummah;Russ deForest
我们将有限种群和无限种群的空间复制子动力学都导出为随机细胞自动机的流体极限。无限种群空间复制器与Vickers使用的模型相同，我们的推导证明了在复制器中增加扩散是合理的。有限种群形式推广了Durett和Levin关于有限空间复制者博弈的结果。我们研究了这两个方程在一维岩石-布-剪刀博弈中的差异。
We derive both the finite and infinite population spatial replicator dynamics as the fluid limit of a stochastic cellular automaton. The infinite population spatial replicator is identical to the model used by Vickers and our derivation justifies the addition of a diffusion to the replicator. The finite population form generalizes the results by Durett and Levin on finite spatial replicator games. We study the differences in the two equations as they pertain to a one-dimensional rock-paper-scissors game.