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Global Endogenous Growth and Distributional Dynamics

  • Paulo Brito

In this paper we deal with the global distribution of capital and output across time. We supply empirical support to model it as a partial differential equation, if the support of the distribution is related to an initial ranking of the economies. If we consider a distributional extension of the AK model we prove that it displays both global endogenous growth and transitional convergence in a distributional sense. This property can also be shared by a distributional extension of the Ramsey model. We conduct a qualitative analysis of the distributional dynamics and prove that If the technology displays mild decreasing marginal returns we can have long run growth if a diffusion induced bifurcation is crossed. This means that global growth can exist even in the case in which the local production functions are homogeneous and display decreasing returns to scale.

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Paper provided by DEGIT, Dynamics, Economic Growth, and International Trade in its series DEGIT Conference Papers with number c017_053.

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Length: 44 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:deg:conpap:c017_053
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  1. Robert E. Lucas, 2009. "Trade and the Diffusion of the Industrial Revolution," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 1-25, January.
  2. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753.
  3. Raouf Boucekkine & Carmen Camacho & Giorgio Fabbri, 2013. "Spatial dynamics and convergence: The spatial AK model," Documents de travail du Centre d'Economie de la Sorbonne 13047, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  4. Raouf, BOUCEKKINE & Carmen, CAMACHO & Benteng, ZOU, 2006. "Bridging the Gap between Growth Theory and the New Economic Geography : The Spatial Ramsey Model," Discussion Papers (ECON - Département des Sciences Economiques) 2006038, Université catholique de Louvain, Département des Sciences Economiques.
  5. Caselli, G & Ventura, J, 1996. "A Representative Consumer Theory of Distribution," Papers 534, Harvard - Institute for International Development.
  6. Klaus Desmet & Esteban Rossi-Hansberg, 2010. "On Spatial Dynamics," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 43-63.
  7. Paulo Brito, 2004. "The Dynamics of Growth and Distribution in a Spatially Heterogeneous World," Working Papers Department of Economics 2004/14, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  8. 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.
  9. Chatterjee, Satyajit, 1994. "Transitional dynamics and the distribution of wealth in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 54(1), pages 97-119, May.
  10. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309.
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