Agglomeration as Local Instability of Spatially Uniform Steady-States
研究空间外部性何时强到足以引发人口集聚，通过构建抽象模型将集聚问题转化为均匀稳态的不稳定性分析，对理解城市形成和产业集聚机制有理论价值。
Humans exhibit a fundamental propensity to interact for social, cultural, technological, and other reasons. In this paper we seek to determine when the propensity to interact, expressed in the form of a spatial externality, becomes strong enough to induce agglomeration. We design an abstract world where the only possible reason for agglomeration is the spatial externality. In this world the uniform population distribution is a steady-state. Then to ask under what circumstances does a spatial externality induce agglomeration is to ask under what circumstances does it induce an instability of the steady-state: anything other than a uniform steady-state implies some agglomeration.