We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labour and residential housing markets. We prove existence and (under stronger assumptions) uniqueness of the equilibrium. We extend our model to the case where teleworking is introduced. We present numerical simulations which shed light on the effect of teleworking on the structure of the city at equilibrium.

中文翻译：

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应用于远程办公的简单城市均衡模型

我们提出了一个简单的半离散空间模型，其中城市的租金、工资和人口密度可以从劳动力和住宅市场的自由流动和均衡条件中推断出来。我们证明均衡的存在性和（在更强的假设下）唯一性。我们将我们的模型扩展到引入远程办公的情况。我们提出的数值模拟揭示了远程办公对城市平衡结构的影响。