IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Business cycle fluctuations and learning-by-doing externalities in a one-sector model

  • Hippolyte D'Albis

    ()

    (LERNA - Economie des Ressources Naturelles - INRA - Institut National de la Recherche Agronomique - CEA - Commissariat à l'énergie atomique et aux énergies alternatives - UT1 - Université Toulouse 1 Capitole)

  • Emmanuelle Augeraud-Véron

    ()

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

  • Alain Venditti

    ()

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales - Université Paul Cézanne - Aix-Marseille 3 - Université de la Méditerranée - Aix-Marseille 2 - CNRS - Centre National de la Recherche Scientifique)

We consider a one-sector Ramsey-type growth model with inelastic labor and learning-by-doing externalities based on cumulative gross investment (cumulative production of capital goods), which is assumed, in accordance with Arrow [5], to be a good index of experience. We prove that a slight memory effect characterizing the learning-by-doing process is enough to generate business cycle fluctuations through a Hopf bifurcation. This is obtained for reasonable parameter values, notably for both the elasticity of output with respect to the externality and the elasticity of intertemporal substitution. Hence, contrary to all the results available in the literature on aggregate models, we show that endogenous fluctuations are compatible with a low (in actual fact, zero) wage elasticity of the labor supply.

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: https://halshs.archives-ouvertes.fr/halshs-00432267/document
Download Restriction: no

Paper provided by HAL in its series Working Papers with number halshs-00432267.

as
in new window

Length:
Date of creation: 15 Nov 2009
Handle: RePEc:hal:wpaper:halshs-00432267
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00432267
Contact details of provider: Web page: https://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. Raouf Boucekkine & Marc Germain & Omar Licandro, . "Replacement echoes in the vintage capital growth model," Working Papers 96-16, FEDEA.
  2. Susanto Basu & John G. Fernald, 1996. "Returns to scale in U.S. production: estimates and implications," International Finance Discussion Papers 546, Board of Governors of the Federal Reserve System (U.S.).
  3. d'Autume, Antoine & Michel, Philippe, 1993. "Endogenous growth in Arrow's Learning by Doing model," European Economic Review, Elsevier, vol. 37(6), pages 1175-1184, August.
  4. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, . "Vintage capital and the dynamics of the AK model," Working Papers 2000-01, FEDEA.
  5. Nishimura, Kazuo, 1985. "Competitive equilibrium cycles," Journal of Economic Theory, Elsevier, vol. 35(2), pages 284-306, August.
  6. Richard Rogerson & Johanna Wallenius, 2007. "Micro and Macro Elasticities in a Life Cycle Model With Taxes," NBER Working Papers 13017, National Bureau of Economic Research, Inc.
  7. Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute.
  8. d'Albis, Hippolyte & Le Van, Cuong, 2006. "Existence of a competitive equilibrium in the Lucas (1988) model without physical capital," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 46-55, February.
  9. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
  10. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
  11. Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, 05.
  13. Hartl, Richard F., 1987. "A simple proof of the monotonicity of the state trajectories in autonomous control problems," Journal of Economic Theory, Elsevier, vol. 41(1), pages 211-215, February.
  14. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
  15. Mauro Bambi, 2006. "Endogenous growth and time to build: the AK case," Computing in Economics and Finance 2006 77, Society for Computational Economics.
  16. Patrick K. Asea & Paul J. Zak, 1997. "Time-to-Build and Cycles," NBER Technical Working Papers 0211, National Bureau of Economic Research, Inc.
  17. Kazuo Nishimura & Carine Nourry & Alain Venditti, 5/22. "Indeterminacy in aggregate models with small externalities: an interplay between preferences and technology," Working Papers halshs-00281428, HAL.
  18. John Y. Campbell, 1998. "Asset Prices, Consumption, and the Business Cycle," NBER Working Papers 6485, National Bureau of Economic Research, Inc.
  19. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  20. Richard Blundell & Thomas MaCurdy, 1998. "Labour supply: a review of alternative approaches," IFS Working Papers W98/18, Institute for Fiscal Studies.
  21. Benhabib, Jess & Farmer, Roger E.A., 1991. "Indeterminacy and Increasing Returns," Working Papers 91-59, C.V. Starr Center for Applied Economics, New York University.
  22. Benhabib, Jess & Nishimura, Kazuo, 1979. "The hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth," Journal of Economic Theory, Elsevier, vol. 21(3), pages 421-444, December.
  23. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," NBER Working Papers 8896, National Bureau of Economic Research, Inc.
  24. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models," Journal of Economic Theory, Elsevier, vol. 88(1), pages 161-187, September.
  25. Mauro BAMBI & Omar LICANDRO, 2004. "(In)determinacy and Time-to-Build," Economics Working Papers ECO2004/17, European University Institute.
  26. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
  27. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
  28. Raouf Boucekkine & Omar Licandro & Luis A. Puch, 2006. "Crecimiento económico y generaciones de capital," Working Papers 2006-28, FEDEA.
  29. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
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:wpaper:halshs-00432267. 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.