IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

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

  • Hippolyte D'Albis

    ()

    (TSE - Toulouse School of Economics - Toulouse School of Economics, LERNA - Economie des Ressources Naturelles - INRA : UR1081 - CEA : DPG - Université des Sciences Sociales - Toulouse I)

  • Emmanuelle Augeraud-Véron

    ()

    (MIA - Mathématiques, Image et Applications - Université de La Rochelle : EA3165)

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://hal.archives-ouvertes.fr/docs/00/63/04/59/PDF/competitive_growth_dAlbis.pdf
Download Restriction: no

Paper provided by HAL in its series Post-Print with number hal-00630459.

as
in new window

Length:
Date of creation: May 2009
Date of revision:
Publication status: Published, International Economic Review, 2009, 50, 2, 459-484
Handle: RePEc:hal:journl:hal-00630459
Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00630459/en/
Contact details of provider: Web page: http://hal.archives-ouvertes.fr/

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Reichlin, Pietro, 1992. "Endogenous cycles with long-lived agents," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 243-266, April.
  2. 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.
  3. 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.
  4. Christian Ghiglino & Marielle Olszak-Duquenne, 2002. "The impact of heterogeneity on indeterminacy," Diskussionsschriften dp0213, Universitaet Bern, Departement Volkswirtschaft.
  5. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  6. Saint-Paul, G., 1991. "Fiscal Policy In An Endogenous Growth Model," DELTA Working Papers 91-04, DELTA (Ecole normale supérieure).
  7. Sergio T. Rebelo, 1990. "Long Run Policy Analysis and Long Run Growth," NBER Working Papers 3325, National Bureau of Economic Research, Inc.
  8. 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.
  9. Burke, Jonathan L., 1996. "Equilibrium for Overlapping Generations in Continuous Time," Journal of Economic Theory, Elsevier, vol. 70(2), pages 364-390, August.
  10. D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," LERNA Working Papers 07.14.235, LERNA, University of Toulouse.
  11. Christian Ghiglino & Marielle Olszak-Duquenne, 2004. "On the Impact of Heterogeneity on Indeterminacy," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 2004.09, Institut d'Economie et Econométrie, Université de Genève.
  12. 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.
  13. Rios-Rull, Jose-Victor, 1996. "Life-Cycle Economies and Aggregate Fluctuations," Review of Economic Studies, Wiley Blackwell, vol. 63(3), pages 465-89, July.
  14. Hippolyte d’Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Economic Theory, Springer, vol. 30(1), pages 181-186, January.
  15. David Cass & Menahem E. Yaari, 1965. "Individual Saving, Aggregate Capital Accumulation, and Efficient Growth," Cowles Foundation Discussion Papers 198, Cowles Foundation for Research in Economics, Yale University.
  16. 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).
  17. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
  18. 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.
  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.
  20. S. Rao Aiyagari, 1988. "Can there be short-period deterministic cycles when people are long lived?," Staff Report 114, Federal Reserve Bank of Minneapolis.
  21. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
  22. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  23. Olivier J. Blanchard, 1984. "Debt, Deficits and Finite Horizons," NBER Working Papers 1389, National Bureau of Economic Research, Inc.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-00630459. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.