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Modelling vintage structures with DDEs: principles and applications

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  • Raouf BOUCEKKINE
  • David DE LA CROIX
  • Omar LICANDRO

Abstract

A comprehensive study of the linkages between demographic and economic variables should not only account for vintage specificity but also incorporate the relevant economic and demographic decisions in a complete optimal control set-up. In this paper, a methodological set-up allowing to reach these objectives is described. In this framework, time is continuous but agents take discrete timing decisions. The mixture of continuous and discrete time yields differential-difference equations (DDEs). This paper shows clearly that the approach allows for a relatively complete and rigorous analytical exploration in some special cases (mainly linear or quasi linear models), and for an easy computational appraisal in the general case.

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Bibliographic Info

Paper provided by European University Institute in its series Economics Working Papers with number ECO2004/06.

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Date of creation: 2004
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Handle: RePEc:eui:euiwps:eco2004/06

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  1. Emilio Barucci & Fausto Gozzi, 2001. "Technology adoption and accumulation in a vintage-capital model," Journal of Economics, Springer, vol. 74(1), pages 1-38, February.
  2. de la Croix, David & Licandro, Omar, 1997. "Life expectancy and endogenous growth," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1997029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  3. BOUCEKKINE, Raouf & DE LA CROIX, David & LICANDRO, Omar, . "Early mortality declines at the dawn of modern growth," CORE Discussion Papers RP -1681, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Kelley, Allen C. & Schmidt, Robert M., 1995. "Aggregate Population and Economic Growth Correlations: The Role of the Components of Demographic Change," Working Papers 95-37, Duke University, Department of Economics.
  6. Raouf Boucekkine & David de la Croix & Omar Licandro, . "vintage human capital, demographic trends and endogenous growth," Working Papers 2000-02, FEDEA.
  7. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  8. Cogley, Timothy & Nason, James M, 1995. "Output Dynamics in Real-Business-Cycle Models," American Economic Review, American Economic Association, vol. 85(3), pages 492-511, June.
  9. BOUCEKKINE, Raouf & GERMAIN, Marc & LICANDRO, Omar & MAGNUS, Alphonse, . "Creative destruction, investment volatility, and the average age of capital," CORE Discussion Papers RP -1376, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. BOUCEKKINE, Raouf & POMMERET, Aude, . "Energy saving technical progress and optimal capital stock: the role of embodiment," CORE Discussion Papers RP -1703, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 1999. "Vintage Capital and the Dynamics of the AK Model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000009, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  12. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February.
  13. Michel, P., 1980. "On the Transversality Condition in Infinite Horizon Optimal Problems," Cahiers de recherche 8024, Universite de Montreal, Departement de sciences economiques.
  14. Galor, Oded & Weil, David, 1999. "From Malthusian Stagnation to Modern Growth," CEPR Discussion Papers 2082, C.E.P.R. Discussion Papers.
  15. Fabrice Collard & Omar Licandro & Luis A. Puch, 2003. "The short-run dynamics of optimal growth models with delays," Documentos del Instituto Complutense de Análisis Económico 0311, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
  16. Boucekkine, R. & Germain, M. & Licandro, O., . "Replacement echoes in the vintage capital growth model," CORE Discussion Papers RP -1275, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  17. Boucekkine, Raouf & Licandro, Omar & Paul, Christopher, 1997. "Differential-difference equations in economics: On the numerical solution of vintage capital growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 347-362.
  18. Raouf Boucekkine & Marc Germain & Omar Licandro & Alphonse Magnus, . "Numerical solution by iterative methods of a class on vintage capital models," Working Papers 97-26, FEDEA.
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