Agglomeration triggered by the effect of the number of regions: A model in NEG with a quadratic subutility

Kensuke Ohtake

doi:10.1007/s40505-022-00222-6

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arXiv · 2112.02920

Agglomeration triggered by the effect of the number of regions: A model in NEG with a quadratic subutility

Kensuke Ohtake

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Abstract

We extend the mathematical model proposed by Ottaviano-Tabuchi-Thisse (2002) to a multi-regional case and investigate the stability of the homogeneous stationary solution of the model in a one-dimensional periodic space. When the number of regions is two and three, the homogeneous stationary solution is stable under sufficiently high transport cost. On the other hand, when the number of regions is a multiple of four, the homogeneous stationary solution is unstable under any values of the transport cost.

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Kensuke Ohtake. 2021-12-06. Agglomeration triggered by the effect of the number of regions: A model in NEG with a quadratic subutility. https://doi.org/10.1007/s40505-022-00222-6

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