IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/1757.html
   My bibliography  Save this paper

Vintage capital and the dynamics of the AK model

Author

Listed:
  • BOUCEKKINE, Raouf
  • LICANDRO, Omar
  • PUCH, Luis A.
  • DEL RIO, Fernando

Abstract

This paper analyzes the equilibrium dynamics of an AK-type endogenous growth model with vintage capital. The inclusion of vintage capital leads to oscillatory dynamics governed by replacement echoes, which additionnally influence the intercept of the balanced growth path. These features, which are in sharp contrast to those from the standard AK model, can contribute to explaining the short-run deviations observed between investment and growth rates time series to characterize the convergence properties and the dynamics of the model we develope analytical and numerical methods that should be of interest for the general resolution of endogenous growth models with vintage capital.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • BOUCEKKINE, Raouf & LICANDRO, Omar & PUCH, Luis A. & DEL RIO, Fernando, 2005. "Vintage capital and the dynamics of the AK model," LIDAM Reprints CORE 1757, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1757
    DOI: 10.1016/j.jet.2004.02.006
    Note: In : Journal of Economic Theory, 120, 39-72, 2005
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
    2. Asea, Patrick K. & Zak, Paul J., 1999. "Time-to-build and cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1155-1175, August.
    3. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
    4. Askenazy, Philippe & Le Van, Cuong, 1999. "A Model of Optimal Growth Strategy," Journal of Economic Theory, Elsevier, vol. 85(1), pages 24-51, March.
    5. Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute.
    6. Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(2), pages 495-525.
    7. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 2001. "Numerical solution by iterative methods of a class of vintage capital models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 655-669, May.
    8. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-362, June.
    9. Michael Gort & Jeremy Greenwood & Peter Rupert, 1999. "Measuring the Rate of Technological Progress in Structures," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 207-230, January.
    10. Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224, National Bureau of Economic Research, Inc.
    11. Boyan Jovanovic & Rafael Rob, 1997. "Solow vs. Solow: Machine Prices and Development," NBER Working Papers 5871, National Bureau of Economic Research, Inc.
    12. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    13. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-985, July.
    14. Philippe Aghion & Peter Howitt, 1994. "Growth and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 477-494.
    15. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    16. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
    17. Ellen R. McGrattan, 1998. "A defense of AK growth models," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 22(Fall), pages 13-27.
    18. Bennett T. McCallum, 1996. "Neoclassical vs. endogenous growth analysis: an overview," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 41-71.
    19. Kocherlakota, Narayana R. & Yi, Kei-Mu, 1995. "Can convergence regressions distinguish between exogenous and endogenous growth models?," Economics Letters, Elsevier, vol. 49(2), pages 211-215, August.
    20. Kocherlakota, Narayana R & Yi, Kei-Mu, 1997. "Is There Endogenous Long-Run Growth? Evidence from the United States and the United Kingdom," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 235-262, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fabbri, Giorgio & Gozzi, Fausto, 2006. "Vintage Capital in the AK growth model: a Dynamic Programming approach. Extended version," MPRA Paper 7334, University Library of Munich, Germany.
    2. 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.
    3. Raouf Boucekkine & David de La Croix & Omar Licandro, 2011. "Vintage capital theory: Three breakthroughs," Working Papers halshs-00599074, HAL.
    4. Raouf Boucekkine & Fernando del Río & Omar Licandro, "undated". "The importance of the embodied question revisited," Working Papers 99-13, FEDEA.
    5. Hippolyte d'Albis & Jean-Pierre Drugeon, 2020. "On Investment and Cycles in Explicitely Solved Vintage Capital Models," PSE Working Papers halshs-02570648, HAL.
    6. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
    7. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
    8. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
    9. Bishnu, Monisankar & Ghate, Chetan & Gopalakrishnan, Pawan, 2016. "Factor income taxation, growth, and investment specific technological change," Economic Modelling, Elsevier, vol. 57(C), pages 133-152.
    10. Bambi, Mauro & Gozzi, Fausto & Licandro, Omar, 2014. "Endogenous growth and wave-like business fluctuations," Journal of Economic Theory, Elsevier, vol. 154(C), pages 68-111.
    11. Bernardino Adão & Borghan Narajabad, 2021. "Scrapping, Renewable Technology Adoption, and Growth," Working Papers w202111, Banco de Portugal, Economics and Research Department.
    12. Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224, National Bureau of Economic Research, Inc.
    13. Raouf BOUCEKKINE & Aude POMMERET, 2000. "Optimal Capital Accumulation, Energy Cost and the Nature of Technological Progress," LIDAM Discussion Papers IRES 2001023, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    14. Fabrice Collard & Omar Licandro & Luis A. Puch, 2008. "The short-run Dynamics of Optimal Growth Model with Delays," Annals of Economics and Statistics, GENES, issue 90, pages 127-143.
    15. Fabrice Collard & Omar Licandro, 2025. "The Neoclassical Model and the Welfare Costs of Selection"," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 57, July.
    16. Plutarchos Sakellaris & Daniel J. Wilson, 2004. "Quantifying Embodied Technological Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(1), pages 1-26, January.
    17. Boyan Jovanovic, 1998. "Vintage Capital and Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 497-530, April.
    18. BOUCEKKINE, Raouf & DE LA CROIX, David & LICANDRO, Omar, 2006. "Vintage capital," LIDAM Discussion Papers CORE 2006024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Maurizio Iacopetta, 2009. "Technological progress and inequality: an ambiguous relationship," Springer Books, in: Uwe Cantner & Jean-Luc Gaffard & Lionel Nesta (ed.), Schumpeterian Perspectives on Innovation, Competition and Growth, pages 181-201, Springer.
    20. Stephen L. Parente, 2000. "Learning-by-Using and the Switch to Better Machines," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 675-703, October.

    More about this item

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cor:louvrp:1757. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.