IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v27y2003i11p1961-1991.html
   My bibliography  Save this article

A computational general equilibrium model with vintage capital

Author

Listed:
  • Cadiou, Loı̈c
  • Dées, Stéphane
  • Laffargue, Jean-Pierre

Abstract

This paper presents a vintage capital model assuming putty–clay investment and perfect foresight. The model is written in discrete time and is simulated by using a second order relaxation algorithm. By computing the eigenvalues of the dynamic system, we have checked the conditions of existence and uniqueness of a solution (Blanchard and Kahn's conditions) and identified the echo effect that characterizes vintage capital models and the related dynamics of creation and destruction. By calibrating the model on French data, it has been proved useful to explain the medium-term movements in the distribution of income in France during the last three decades.

Suggested Citation

  • Cadiou, Loı̈c & Dées, Stéphane & Laffargue, Jean-Pierre, 2003. "A computational general equilibrium model with vintage capital," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 1961-1991.
    • Handle: RePEc:eee:dyncon:v:27:y:2003:i:11:p:1961-1991
    DOI: 10.1016/S0165-1889(02)00112-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188902001124
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0165-1889(02)00112-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-384, December.
    2. 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.
    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. Oliver J. Blanchard, 1997. "The Medium Run," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 28(2), pages 89-158.
    5. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    6. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    7. Caballero, Ricardo J & Hammour, Mohamad L, 1994. "The Cleansing Effect of Recessions," American Economic Review, American Economic Association, vol. 84(5), pages 1350-1368, December.
    8. Boucekkine, Raouf, 1995. "An alternative methodology for solving nonlinear forward-looking models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(4), pages 711-734, May.
    9. Calvo, Guillermo A, 1976. "Optimal Growth in a Putty-Clay Model," Econometrica, Econometric Society, vol. 44(5), pages 867-878, September.
    10. Adachi, Hideyuki, 1974. "Factor Substitution and Durability of Capital in a Two-Sector Putty-Clay Model," Econometrica, Econometric Society, vol. 42(5), pages 773-801, September.
    11. Céline Prigent, 1999. "La part des salaires dans la valeur ajoutée en France : une approche macroéconomique," Économie et Statistique, Programme National Persée, vol. 323(1), pages 73-94.
    12. Britto, Ronald, 1970. "Durability and Obsolescence in Putty-Clay Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 455-462, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Loïc Cadiou & Julien Genet & Jean-Louis Guérin, 2002. "Evolutions démographiques et marché du travail : des liens complexes parfois contradictoires," Working Papers 2002-16, CEPII research center.
    2. Luci Ellis & Kathryn Smith, 2010. "The Global Upward Trend in the Profit Share," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot, Berlin, vol. 56(3), pages 231-256.
    3. Hirokazu Tatano & Satoshi Tsuchiya, 2008. "A framework for economic loss estimation due to seismic transportation network disruption: a spatial computable general equilibrium approach," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 44(2), pages 253-265, February.
    4. Shigeru Wakita, 2006. "The Lost Decade in the Japanese Labor Market : Labor’s share and Okun’s Law," Labor Economics Working Papers 22317, East Asian Bureau of Economic Research.
    5. Elliott Joshua & Foster Ian & Judd Kenneth & Moyer Elisabeth & Munson Todd, 2010. "CIM-EARTH: Framework and Case Study," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(2), pages 1-34, December.

    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. Loïc Cadiou & Stéphane Dées & Jean-Pierre Laffargue, 2000. "A computable General Equilibrium Model with Vintage Capital," Working Papers 2000-20, CEPII research center.
    2. Cepii & Cepremap, 2001. "MARMOTTE : a Multinational Model," Working Papers 2001-15, CEPII research center.
    3. 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.
    4. Simon Gilchrist & John C. Williams, 2000. "Putty-Clay and Investment: A Business Cycle Analysis," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 928-960, October.
    5. Fabrice Collard & Omar Licandro, 2020. "The neoclassical model and the welfare costs of selection," Discussion Papers 2020/03, University of Nottingham, Centre for Finance, Credit and Macroeconomics (CFCM).
    6. Raouf Boucekkine & Fernando del Río & Omar Licandro, "undated". "The importance of the embodied question revisited," Working Papers 99-13, FEDEA.
    7. Takeshi Kobayashi & Masaya Sakuragawa, 2008. "Boom and Bust Cycle of the Stock Market, and Economic Growth in a Vintage Capital Model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(3), pages 411-432, September.
    8. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
    9. Motamedi, N. & Reza Peyghami, M. & Hadizadeh, M., 2013. "A mixed integer nonlinear programming model for the optimal repair–replacement in the firm," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 366-371.
    10. Gamboa, Franklin & Maldonado, Wilfredo Leiva, 2014. "Feasibility and optimality of the initial capital stock in the Ramsey vintage capital model," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 40-45.
    11. George Bitros, 2010. "The theorem of proportionality in contemporary capital theory: An assessment of its conceptual foundations," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 23(4), pages 367-401, December.
    12. 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.
    13. Bitros, George C., 2009. "The Theorem of Proportionality in Mainstream Capital Theory: An Assessment of its Conceptual Foundations," MPRA Paper 17436, University Library of Munich, Germany.
    14. Loic Cadiou, Stphane Des & Jean-Pierre Laffargue, 2000. "Medium Term Dynamics In A Rational Expectation Model With Vintage Capital And Appropriability," Computing in Economics and Finance 2000 304, Society for Computational Economics.
    15. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "Health, Work Intensity, and Technological Innovations," Working Papers halshs-00805199, HAL.
    16. AZOMAHOU, Théophile & BOUCEKKINE, Raouf & NGUYEN-VAN, Phu, 2009. "Promoting clean technologies under imperfect competition," LIDAM Discussion Papers CORE 2009011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Coenen Günter & Orphanides Athanasios & Wieland Volker, 2004. "Price Stability and Monetary Policy Effectiveness when Nominal Interest Rates are Bounded at Zero," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-25, February.
    18. Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862, Elsevier.
    19. Raouf, BOUCEKKINE & Blanca, MARTINEZ & Cagri, SAGLAM, 2006. "Capital Maintenance Vs Technology Adopton under Embodied Technical Progress," Discussion Papers (ECON - Département des Sciences Economiques) 2006030, Université catholique de Louvain, Département des Sciences Economiques.
    20. James Bullard & Eric Schaling, 2009. "Monetary Policy, Determinacy, and Learnability in a Two‐Block World Economy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(8), pages 1585-1612, December.

    More about this item

    Keywords

    Vintage capital models; Replacement echoes; Dynamic model solving; Medium-term dynamics;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

    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:eee:dyncon:v:27:y:2003:i:11:p:1961-1991. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

    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.