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A computational general equilibrium model with vintage capital

Author

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  • 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
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

    More about this item

    Keywords

    Vintage capital models; Replacement echoes; Dynamic model solving; Medium-term dynamics;

    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

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