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Competitive Growth in a Life-cycle Model: Existence and Dynamics

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  • D'ALBIS Hippolyte

    (LERNA, TSE)

  • AUGERAUD-VERON Emmannuelle

Abstract

The dynamic behavior of the capital growth rate is analyzed using an overlapping-generations model with continuous trading. Assuming a technology satisfying constant social returns to capital, the equilibrium growth rate is piecewise-defined by functional differential equations with both delayed and advanced terms. The main result concerns the existence of a solution expressed as a series of exponentials, which is shown to crucially depend on the initial wealth distribution among cohorts. Upon existence, the dynamics of the capital growth rate has a saddle-point trajectory that converges to a unique steady state. Along the transition path, the growth rate exhibits exponentially decreasing oscillations. Copyright � (2009) by the Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

(This abstract was borrowed from another version of this item.)

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Bibliographic Info

Paper provided by LERNA, University of Toulouse in its series LERNA Working Papers with number 07.19.240.

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Date of creation: Oct 2007
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Handle: RePEc:ler:wpaper:07.19.240

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  1. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
  2. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Post-Print hal-00630229, HAL.
  3. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, . "Vintage capital and the dynamics of the AK model," Working Papers 2000-01, FEDEA.
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  8. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
  9. S. Rao Aiyagari, 1988. "Can there be short-period deterministic cycles when people are long lived?," Staff Report 114, Federal Reserve Bank of Minneapolis.
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  17. Costas Azariadis & James Bullard & Lee Ohanian, 2001. "Trend-reverting fluctuations in the life-cycle model," Working Papers 1998-015, Federal Reserve Bank of St. Louis.
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Blog mentions

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  1. Visite guidée au coeur des travaux du Meilleur jeune économiste 2012 (2/2)
    by Matthieu Solignac in Regards croisés sur l'économie on 2012-06-10 22:05:40
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Cited by:
  1. D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," LERNA Working Papers 07.14.235, LERNA, University of Toulouse.
  2. d'Albis, Hippolyte & Augeraud-Véron, Emmanuelle, 2012. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," MPRA Paper 45426, University Library of Munich, Germany.
  3. Brito, Paulo & Dilao, Rui, 2006. "Equilibrium price dynamics in an overlapping-generations exchange economy," MPRA Paper 699, University Library of Munich, Germany.
  4. Hippolyte d'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Documents de travail du Centre d'Economie de la Sorbonne 12026, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  5. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2011. "Continuous-Time Overlapping Generations Models," Post-Print hal-00424799, HAL.
  6. MERTENS, Jean-François & RUBINCHIK, Anna, 2012. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," CORE Discussion Papers 2012032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. repec:hal:journl:halshs-00717158 is not listed on IDEAS
  8. repec:hal:journl:halshs-00717198 is not listed on IDEAS

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