论文标题
平均野外学习模型中的行进波
Traveling waves in a mean field learning model
论文作者
论文摘要
卢卡斯（Lucas）和莫尔（Moll）提出了一个向前背靠背的部分微分方程的系统，以模拟知识扩散和经济增长。它源于单个代理的平均场类型相互作用系统的学习模型。在本文中，我们证明了该系统的波动波解决方案的存在。它们对应于经济学中所谓的平衡生长路径解决方案。我们还研究了解决方案及其对系统各种经济参数的依赖性。
Lucas and Moll have proposed a system of forward-backward partial differential equations that model knowledge diffusion and economic growth. It arises from a microscopic model of learning for a mean-field type interacting system of individual agents. In this paper, we prove existence of traveling wave solutions to this system. They correspond to what is known in economics as balanced growth path solutions. We also study the dependence of the solutions and their propagation speed on various economic parameters of the system.
