A Network Model for Urban Planning
研究了一个描述城市演化的数学模型，其中工人和公司两类人群通过劳动市场互动并争夺空间，城市地图由网络表示，证明了模型解的存在唯一性并提供了数值模拟。
Abstract We study a mathematical model to describe the evolution of a city, which is determined by the interaction of two large populations of agents, workers and firms. The map of the city is described by a network with the edges representing at the same time residential areas and communication routes. The two populations compete for space while interacting through the labour market. The resulting model is described by a two population Mean-Field Game system coupled with an Optimal Transport problem. We prove existence and uniqueness of the solution and we provide several numerical simulations.