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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. 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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Bibliographic Info

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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Related research

Keywords: demography; economic growth; vintage structures; optimal control; differential-difference equations; state-dependence;

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References

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  1. 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.
  2. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-85, July.
  3. Raouf Boucekkine & Marc Germain & Omar Licandro & Alphonse Magnus, . "Numerical solution by iterative methods of a class of vintage capital models," Working Papers 98-20, FEDEA.
  4. 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.
  5. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models," Journal of Economic Theory, Elsevier, vol. 88(1), pages 161-187, September.
  6. Galor, Oded & Weil, David, 1999. "From Malthusian Stagnation to Modern Growth," CEPR Discussion Papers 2082, C.E.P.R. Discussion Papers.
  7. 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.
  8. 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).
  9. 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.
  10. Raouf BOUCEKKINE & David DE LA CROIX & Omar LICANDRO, 2002. "Early Mortality Declines at the Dawn of Modern Growth," Economics Working Papers ECO2002/11, European University Institute.
  11. Raouf Boucekkine & David de la Croix & Omar Licandro, . "vintage human capital, demographic trends and endogenous growth," Working Papers 2000-02, FEDEA.
  12. 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).
  13. Raouf Boucekkine & Omar Licandro & Luis A. Puch & Fernando del Rio, . "Vintage capital and the dynamics of the AK model," Working Papers 2000-01, FEDEA.
  14. Raouf Boucekkine & Omar Licandro & Christopher Paul, . "Differential-Difference Equations in Economics: On the Numerical Solution of Vintage Capital Growth Models," Computing in Economics and Finance 1996 _036, Society for Computational Economics.
  15. 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.
  16. Jess Benhabib & Aldo Rustichini, 1990. "Vintage Capital, Investment and Growth," Discussion Papers 886, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. 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).
  18. 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.
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