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

• 成果类型: Article
• 署名作者: Fabbri, Giorgio
• 署名单位: Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2015.12.004
• 发表日期: 2016
• 页码: 114-136
• 关键词: Dynamical spatial model; GROWTH; agglomeration; CONVERGENCE; Infinite dimensional optimal control problems; Riemannian manifolds

摘要

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. (C) 2015 Elsevier Inc. All rights reserved.