Skip to Main content Skip to Navigation
Journal articles

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

Giorgio Fabbri 1
1 GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille
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 : Agglomeration convergence Dynamical spatial model Growth Infinite dimensional optimal control pr
Document type :
Journal articles
Complete list of metadata
https://hal-amu.archives-ouvertes.fr/hal-01446208
Contributor : Patrice Cacciuttolo Connect in order to contact the contributor
Submitted on : Wednesday, January 25, 2017 - 4:33:22 PM
Last modification on : Thursday, November 4, 2021 - 11:58:07 AM

Identifiers

  • HAL Id : hal-01446208, version 1

Collections

UNIV-AMU | CNRS | EHESS | EC-MARSEILLE | GREQAM | AMSE

Citation

Giorgio Fabbri. Geographical structure and convergence: A note on geometry in spatial growth models. Journal of Economic Theory, Elsevier, 2016, 162 (C), pp.114--136. ⟨hal-01446208⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Les métriques sont temporairement indisponibles