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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. Rios-Rull, Jose-Victor, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Wiley Blackwell, vol. 63(3), pages 465-89, July.
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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. repec:hal:journl:halshs-00717198 is not listed on IDEAS
  2. Jean-François Mertens & Anna Rubinchik, 2013. "Equilibria in an overlapping generations model with transfer policies and exogenous growth," Economic Theory, Springer, vol. 54(3), pages 537-595, November.
  3. Paulo Brito & Rui Dilao, 2006. "Equilibrium price dynamics in an overlapping-generations exchange economy," Working Papers Department of Economics 2006/27, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  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. D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," LERNA Working Papers 07.14.235, LERNA, University of Toulouse.
  6. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2011. "Continuous-Time Overlapping Generations Models," Post-Print hal-00424799, HAL.
  7. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2012. "Frequency of trade and the deterrminacy of equilibrium in economies of overlapping generations," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717158, HAL.
  8. Hippolyte d'Albis & Emmanuelle Augeraud-Véron, 2013. "Frequency of trade and the determinacy of equilibrium in economies of overlapping generations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 85-100, 03.
  9. Hippolyte D'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717198, HAL.
  10. repec:hal:journl:halshs-00717158 is not listed on IDEAS

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