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Ecological Barriers and Convergence: a Note on Geometry in Spatial Growth Models

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  • Giorgio FABBRI

    ()
    (EPEE et Department d'Economie, Université d'Evry - Val d'Essonne)

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 on the geographical structure the conditions that guarantee, in the long run, the convergence of the detrended capital across locations and those inducing spatial capital agglomeration

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Bibliographic Info

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2014014.

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Length: 14
Date of creation: 30 May 2014
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Handle: RePEc:ctl:louvir:2014014

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Keywords: Dynamical spatial model; growth; agglomeration; convergence; infinite dimensional optimal control problems; Riemannian manifolds;

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  1. BOUCEKKINE, Raouf & CAMACHO, Carmen & ZOU, Benteng, . "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," CORE Discussion Papers RP -2090, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. William Brock & Anastasios Xepapadeas & Athanasios Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," DEOS Working Papers 1402, Athens University of Economics and Business.
  3. Klaus Desmet & Esteban Rossi-Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63.
  4. Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September.
  5. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, 2003. "Vintage capital and the dynamics of the AK model," Documentos de Trabajo del ICAE 0310, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
  6. Camacho, Carmen & Zou, Benteng & Briani, Maya, 2008. "On the dynamics of capital accumulation across space," European Journal of Operational Research, Elsevier, vol. 186(2), pages 451-465, April.
  7. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2420-2439, December.
  8. Paulo Brito, 2012. "Global Endogenous Growth and Distributional Dynamics," DEGIT Conference Papers c017_053, DEGIT, Dynamics, Economic Growth, and International Trade.
  9. Danny Quah, 2002. "Spatial agglomeration dynamics," LSE Research Online Documents on Economics 2042, London School of Economics and Political Science, LSE Library.
  10. Danny Quah, 2002. "Spatial Agglomeration Dynamics," CEP Discussion Papers dp0521, Centre for Economic Performance, LSE.
  11. Mossay, Pascal, 2013. "A theory of rational spatial agglomerations," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 385-394.
  12. Quah, Danny, 2002. "Spatial Agglomeration Dynamics," CEPR Discussion Papers 3208, C.E.P.R. Discussion Papers.
  13. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
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