论文标题
有限的人口在空间复制器动力学中摧毁了行动浪潮
A Finite Population Destroys a Traveling Wave in Spatial Replicator Dynamics
论文作者
论文摘要
我们将有限和无限的人口空间复制器动力学作为随机细胞自动机的流体极限。无限的人口空间复制器与维克斯使用的模型相同，我们的推导证明了对复制器的扩散添加合理。有限的人口概括了杜雷特和莱文在有限的空间复制器游戏中的结果。我们研究两个方程式的差异，因为它们与一维岩纸的游戏有关。
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.
