Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.5/2720
Título: The dynamics of growth and distribution in a spatially heterogeneous world
Autor: Brito, Paulo
Palavras-chave: Optimal growth and distribution
Spatial growth
Optimal control of partial differential equations
Traveling waves
Fourier transforms
Turing instability
Data: 2004
Editora: ISEG – Departamento de Economia
Citação: Brito, Paulo. 2004. "The dynamics of growth and distribution in a spatially heterogeneous world". Instituto Superior de Economia e Gestão - DE Working papers nº 14-2004/DE/UECE
Relatório da Série N.º: DE Working papers;nº 14-2004/DE/UECE
Resumo: This paper tries to reconcile growth and geographical economics by dealing di¬rectly with capital accumulation through time and space and by seeing growth convergence and spatial agglomeration as jointly generated by dynamic processes displaying pattern formation. It presents a centralized economy in which a Bergson-Samuelson-Millian central planner finds a flow of optimal distributions of consumption, subject to a spatial-temporal capital accumulation budget constraint. The main conclusions are: first, if the behavioral parameters are symmetric, but there is an asymmetric distribution of the capital stock, then the long run asymptotic distribution will be spatially homogeneous; second, if there is homogeneous distribution of the capital stock, but there is an asymmetric shock in any parameter, then the economy will converge towards a spatially heterogeneous asymptotic state; third, spatially heterogeneous asymptotic states will only emerge exogenously, not endogenously; fourth, the spatial propagation mechanism can give birth, when the production function is close to linear, to a Turing instability, which implies that for some parameter values, a conditionally stable spacetime distribution should display spatial pattern formation.
URI: http://hdl.handle.net/10400.5/2720
ISSN: 0874-4548
Versão do Editor: https://aquila1.iseg.utl.pt/aquila/getFile.do?method=getFile&fileId=26415
Aparece nas colecções:DE - Documentos de trabalho / Working Papers
UECE - Documentos de Trabalho / UECE - Working Papers

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