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The Spatial Solow Model

Author

Listed:
  • Carmen, CAMACHO

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • Benteng, ZOU

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

Abstract

In this paper, we solve a Solow model in continuous time and space. We prove the existence of a solution to the problem and its convergence to a stationary solution. The simulation of various scenarios in the last section of the paper illustrates the convergence issue

Suggested Citation

  • Carmen, CAMACHO & Benteng, ZOU, 2003. "The Spatial Solow Model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003017, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  • Handle: RePEc:ctl:louvir:2003017
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    File URL: http://sites.uclouvain.be/econ/DP/IRES/2003-17.pdf
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    References listed on IDEAS

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    1. Ten Raa, Thijs, 1986. "The initial value problem for the trade cycle in euclidian space," Regional Science and Urban Economics, Elsevier, pages 527-546.
    2. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    3. Raouf Boucekkine & Blanca Martínez & Cagri Saglam, 2006. "The Development Problem under Embodiment," Review of Development Economics, Wiley Blackwell, pages 42-58.
    4. Mossay, Pascal, 2003. "Increasing returns and heterogeneity in a spatial economy," Regional Science and Urban Economics, Elsevier, pages 419-444.
    5. Niosi, Jorge & Hanel, Petr & Fiset, Liette, 1995. "Technology transfer to developing countries through engineering firms: The Canadian experience," World Development, Elsevier, pages 1815-1824.
    6. Krugman, Paul, 1993. "On the number and location of cities," European Economic Review, Elsevier, pages 293-298.
    7. Pascal Mossay, 2003. "Increasing Returns And Heterogeneity In A Spatial Economy," Working Papers. Serie AD 2003-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. João Juchem Neto & Julio Claeyssen, 2015. "Capital-induced labor migration in a spatial Solow model," Journal of Economics, Springer, pages 25-47.
    2. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2015. "Pollution diffusion and abatement activities across space and over time," Mathematical Social Sciences, Elsevier, pages 48-63.
    3. Brock, William A. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2014. "Spatial externalities and agglomeration in a competitive industry," Journal of Economic Dynamics and Control, Elsevier, pages 143-174.
    4. Juchem Neto, Joao Plinio & Claeyssen, Julio Cesar Ruiz & Porto Junior, Sabino da Silva, 2014. "A spatial Solow model with transport cost," MPRA Paper 59766, University Library of Munich, Germany.
    5. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
    6. Xepapadeas, A. & Yannacopoulos, A.N., 2016. "Spatial growth with exogenous saving rates," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 125-137.
    7. Ballestra, Luca Vincenzo, 2016. "The spatial AK model and the Pontryagin maximum principle," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 87-94.
    8. Brock, William A. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2014. "Optimal agglomerations in dynamic economics," Journal of Mathematical Economics, Elsevier, pages 1-15.
    9. Gilberto Gonz'alez-Parra & Benito Chen-Charpentier & Abraham J. Arenas & Miguel Diaz-Rodriguez, 2015. "Mathematical modeling of physical capital using the spatial Solow model," Papers 1504.04388, arXiv.org.
    10. Anastasios Xepapadeas & Athanasios Yannacopoulos & Andreas Ioannidis, 2014. "Spatial Growth: The Distribution of Capital across Locations when Saving Rates are Exogenous," DEOS Working Papers 1412, Athens University of Economics and Business.

    More about this item

    Keywords

    Solow Model; Growth; Geographic economics;

    JEL classification:

    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • O0 - Economic Development, Innovation, Technological Change, and Growth - - General

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