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Competitive growth in a life-cycle model: Existence and dynamics

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  • d'Albis, Hippolyte
  • Augeraud-Véron, Emmanuelle

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.

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Paper provided by University of Toulouse 1 Capitole in its series Open Access publications from University of Toulouse 1 Capitole with number http://neeo.univ-tlse1.fr/2260/.

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Date of creation: May 2009
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Publication status: Published in International Economic Review (2009-05) v.50, p.459-484
Handle: RePEc:ner:toulou:http://neeo.univ-tlse1.fr/2260/

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Web page: http://www.univ-tlse1.fr/

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  1. 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.
  2. Saint-Paul, G., 1991. "Fiscal Policy In An Endogenous Growth Model," DELTA Working Papers 91-04, DELTA (Ecole normale supérieure).
  3. Burke, Jonathan L., 1990. "A benchmark for comparative dynamics and determinacy in overlapping-generations economies," Journal of Economic Theory, Elsevier, vol. 52(2), pages 268-303, December.
  4. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
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  8. 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).
  9. 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.
  10. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor and Francis Journals, vol. 15(4), pages 214-229.
  11. Aiyagari, S Rao, 1989. "Can There Be Short-Period Deterministic Cycles When People Are Long Lived?," The Quarterly Journal of Economics, MIT Press, vol. 104(1), pages 163-85, February.
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  15. Christian Ghiglino & Marielle Olszak-Duquenne, 2002. "The impact of heterogeneity on indeterminacy," Diskussionsschriften dp0213, Universitaet Bern, Departement Volkswirtschaft.
  16. Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
  17. 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.
  18. Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004. "Trend-reverting fluctuations in the life-cycle model," Journal of Economic Theory, Elsevier, vol. 119(2), pages 334-356, December.
  19. Reichlin, Pietro, 1992. "Endogenous cycles with long-lived agents," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 243-266, April.
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  21. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
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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. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2011. "Continuous-Time Overlapping Generations Models," Post-Print hal-00424799, HAL.
  2. Hippolyte D'Albis & Emmanuelle Augeraud-Véron & Alain Venditti, 2009. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Working Papers halshs-00432267, HAL.
  3. 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.
  4. Mertens, Jean-Francois & Rubinchik, Anna, 2012. "Equilibria In An Overlapping Generations Model With Transfer Policies And Exogenous Growth," Working Papers WP2012/5, University of Haifa, Department of Economics, revised 05 Mar 2012.
  5. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor and Francis Journals, vol. 15(4), pages 214-229.
  6. 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.
  7. repec:hal:journl:halshs-00717158 is not listed on IDEAS

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