In this paper, we investigate the meaning and significance of a remarkable fact: the equivalence of the core equations in two apparently disconnected areas in biology. The core equation in evolutionary game theory expresses the dynamic law known as the replicator equation, and the core equation of population dynamics expresses the dynamic law known as the Lotka–Volterra equation. They are proven equivalent by a simple transformation of variables. What does it mean? Does it mean that evolution via natural selection is better modeled as a process of game playing—ludi vitae—or that of mechanical motion—motus vita? We analyze the complexity of this question in this paper.

中文翻译：

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两个方程式的故事Ludi Vitae或Motus Vita？

在本文中，我们研究了一个非凡事实的含义和意义：生物学中两个明显分离的区域中核心方程的等价性。进化博弈论中的核心方程式表示了称为复制器方程的动力学定律，而种群动力学的核心方程式则称为称为Lotka–Volterra方程的动力学定律。简单的变量转换证明它们等效。这是什么意思？这是否意味着通过自然选择进行的进化可以更好地建模为游戏过程-履历-或机械运动过程-履历？我们在本文中分析了这个问题的复杂性。