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Spatial frequency of unstable eigenfunction of the core-periphery model with transport cost of differentiated agriculture

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  • Kensuke Ohtake

Abstract

The core-periphery model with transport cost of differentiated agriculture is extended to continuously multi-regional space, and the stability of a homogeneous stationary solution of the model on a periodic space is investigated. When a spatial disturbance around the homogeneous stationary solution is decomposed into eigenfunctions, an unstable area, defined as the area of parameters where each eigenfunction is unstable, is observed to generally expand in its size as the frequency number of each eigenfunction increases.

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  • Kensuke Ohtake, 2022. "Spatial frequency of unstable eigenfunction of the core-periphery model with transport cost of differentiated agriculture," Papers 2206.01040, arXiv.org, revised Apr 2023.
    • Handle: RePEc:arx:papers:2206.01040
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