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MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS

  • Raouf Boucekkine
  • David De La Croix
  • Omar Licandro

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. 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). It is clearly shown 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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Article provided by Taylor & Francis Journals in its journal Mathematical Population Studies.

Volume (Year): 11 (2004)
Issue (Month): 3-4 ()
Pages: 151-179

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Handle: RePEc:taf:mpopst:v:11:y:2004:i:3-4:p:151-179
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  1. BOUCEKKINE, Raouf & de la CROIX, David & LICANDRO, Omar, 2002. "Early mortality declines at the dawn of modern growth," CORE Discussion Papers 2002030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
  3. 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).
  4. Raouf BOUCEKKINE & Omar LICANDRO & Luis A. PUCH & Fernando DEL RIO, 2002. "Vintage Capital And the Dynamics of the AK Model," Economics Working Papers ECO2002/07, European University Institute.
  5. Timothy Cogley & James M. Nason, 1993. "Output dynamics in real business cycle models," Working Papers in Applied Economic Theory 93-10, Federal Reserve Bank of San Francisco.
  6. Boucekkine, Raouf & Del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs exogenously driven fluctuations in vintage capital models," CEPREMAP Working Papers (Couverture Orange) 9901, CEPREMAP.
  7. Michel, P., 1980. "On the Transversality Condition in Infinite Horizon Optimal Problems," Cahiers de recherche 8024, Universite de Montreal, Departement de sciences economiques.
  8. 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.
  9. Fabrice COLLARD & Omar LICANDRO & Luis A. PUCH, 2008. "The short-run Dynamics of Optimal Growth Model with Delays," Annales d'Economie et de Statistique, ENSAE, issue 90, pages 127-143.
  10. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
  11. 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).
  12. Boucekkine, Raouf & Pommeret, Aude, 2004. "Energy saving technical progress and optimal capital stock: the role of embodiment," Economic Modelling, Elsevier, vol. 21(3), pages 429-444, May.
  13. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
  14. Fabrice Collard & Omar Licandro & Luis A. Puch, . "The short-run dynamics of optimal growth models with delays," Working Papers 2004-05, FEDEA.
  15. Boucekkine, Raouf, et al, 1998. " Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-84, December.
  16. 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.
  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. 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.
  19. 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.
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