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Global endogenous growth and distributional dynamics

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  • Brito, Paulo

Abstract

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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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41653.

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Date of creation: 01 Nov 2011
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Handle: RePEc:pra:mprapa:41653

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Keywords: optimal control of parabolic PDE; endogenous growth; diffusion induced bifurcation;

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  1. Raouf Boucekkine & C. Camacho & B. Zou, 2007. "Bridging the gap between growth theory and the new economic geography: The spatial Ramsey model," Working Papers 2007_27, Business School - Economics, University of Glasgow.
  2. Caselli, G & Ventura, J, 1996. "A Representative Consumer Theory of Distribution," Papers 534, Harvard - Institute for International Development.
  3. repec:cup:cbooks:9780521805247 is not listed on IDEAS
  4. 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.
  5. Robert E. Lucas, Jr., 2007. "Trade and the Diffusion of the Industrial Revolution," NBER Working Papers 13286, National Bureau of Economic Research, Inc.
  6. Klaus Desmet & Esteban Rossi-Hansberg, 2009. "On Spatial dynamics," Working Papers 2009-16, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
  7. repec:cup:cbooks:9780521801386 is not listed on IDEAS
  8. Raouf BOUCEKKINE & Carmen CAMACHO & Giorgio FABBRI, 2010. "Spatial dynamics and convergence: the spatial AK model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2010009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  9. 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.
  10. Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, October.
  11. 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.
  12. 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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Cited by:
  1. Giorgio FABBRI, 2014. "Ecological Barriers and Convergence: a Note on Geometry in Spatial Growth Models," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2014014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  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. Brock, William A. & Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2014. "Spatial externalities and agglomeration in a competitive industry," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 143-174.
  4. William Brock & Anastasios Xepapadeas & Athanasios Yannacopoulos, 2014. "Optimal Agglomerations in Dynamic Economics," DEOS Working Papers 1403, Athens University of Economics and Business.

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