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Competitive Growth In A Life-Cycle Model: Existence And Dynamics

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  • Hippolyte d'Albis
  • Emmanuelle Augeraud-véron

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.

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Bibliographic Info

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 50 (2009)
Issue (Month): 2 (05)
Pages: 459-484

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Handle: RePEc:ier:iecrev:v:50:y:2009:i:2:p:459-484

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  1. Laitner, John, 1990. "Tax Changes and Phase Diagrams for an Overlapping Generations Model," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 193-220, February.
  2. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2008. "Endogenous Retirement and Monetary Cycles," Post-Print hal-00424801, HAL.
  3. R. Boucekkine & F. del Rio & O. Licandro & Luis A. Puch, 2000. "Vintage Capital and the Dynamics of the AK Model," Econometric Society World Congress 2000 Contributed Papers 0436, Econometric Society.
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  11. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
  12. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2000. "Vintage Human Capital, Demographic Trends and Endogenous Growth," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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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.
  18. 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.
  19. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Zame, William R., 1989. "Determinacy of equilibrium in large-scale economies," Journal of Mathematical Economics, Elsevier, vol. 18(3), pages 231-262, June.
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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-Véron, Emmanuelle, 2012. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," MPRA Paper 45426, University Library of Munich, Germany.
  2. Hippolyte D'albis & Emmanuelle Augeraud-Véron, 2011. "Continuous-Time Overlapping Generations Models," Working Papers 246051, Institut National de la Recherche Agronomique, France.
  3. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
  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. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
  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-00717198 is not listed on IDEAS
  8. repec:hal:journl:halshs-00717158 is not listed on IDEAS

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