Geographical structure and convergence: A note on geometry in spatial growth models

Giorgio Fabbri

Journal of Economic Theory, 2016, vol. 162, issue C, 114-136

Abstract: We introduce an AK spatial growth model with a general geographical structure. The dynamics of the economy is described by a partial differential equation on a Riemannian manifold. The morphology interacts with the spatial dynamics of the capital and is one determinant of the qualitative behavior of the economy. We characterize the conditions on the geographical structure that guarantee convergence of the detrended capital across locations in the long run, and those inducing spatial capital agglomeration.

Keywords: Dynamical spatial model; Growth; Agglomeration; Convergence; Infinite dimensional optimal control problems; Riemannian manifolds (search for similar items in EconPapers)
JEL-codes: C61 O4 R1 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (47)

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Working Paper: Geographical structure and convergence: A note on geometry in spatial growth models (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:162:y:2016:i:c:p:114-136

DOI: 10.1016/j.jet.2015.12.004

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