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Modelling vintage structures with DDEs : principles and applications

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Author Info
Raouf, BOUCEKKINE (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) and UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))
David de la Croix (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) and CORE and FNRS Belgium and UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))

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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 the 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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Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2004004.

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Date of creation: 01 Mar 2004
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Handle: RePEc:ctl:louvir:2004004

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Keywords: Demography; Economic growth; Vintage structures; Optimal control; Differential-difference equations; State-dependence;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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). [Downloadable!]
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  2. Galor, Oded & Weil, David, 1999. "From Malthusian Stagnation to Modern Growth," CEPR Discussion Papers 2082, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  3. 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.
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  4. Fabrice COLLARD & Omar LICANDRO & Luis A. PUCH, 2004. "The short-run dynamics of optimal growth models with delays," Economics Working Papers ECO2004/04, European University Institute. [Downloadable!]
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  5. R. Boucekkine & F. del Rio & O. Licandro & Luis A. Puch, 2000. "Vintage Capital and the Dynamics of the AK Model," Econometric Society World Congress 2000 Contributed Papers 0436, Econometric Society. [Downloadable!]
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  6. 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. [Downloadable!] (restricted)
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  7. de la Croix, David & Licandro, Omar, 1999. "Life expectancy and endogenous growth," Economics Letters, Elsevier, vol. 65(2), pages 255-263, November. [Downloadable!] (restricted)
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  8. Raouf Boucekkine & David de la Croix & Omar Licandro, 2003. "Early Mortality Declines at the Dawn of Modern Growth," Scandinavian Journal of Economics, Blackwell Publishing, vol. 105(3), pages 401-418, 09. [Downloadable!] (restricted)
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  9. R. Boucekkine & M. Germain & O. Licandro & A. Magnus, . "Creative destruction, investment volatility, and the average age of capital," Working Papers 97-08, FEDEA.
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  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
  12. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December. [Downloadable!] (restricted)
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  13. 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. [Downloadable!] (restricted)
  14. Dr. Peter Kenning & Hilke Plassmann, 2004. "NeuroEconomics," Experimental 0412005, EconWPA. [Downloadable!]
  15. 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. [Downloadable!]
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  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. [Downloadable!]
  17. 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. [Downloadable!] (restricted)
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  18. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-85, July. [Downloadable!] (restricted)
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  19. 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. [Downloadable!] (restricted)
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Raouf, BOUCEKKINE & Bity, DIENE & ThŽophile, AZOMAHOU, 2007. "A closer look at the relationship between life expectancy and economic growth," Discussion Papers (ECON - Département des Sciences Economiques) 2007043, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
    Other versions:
  2. Fabbri, Giorgio, 2007. "Viscosity solutions to delay differential equations in demo-economy," MPRA Paper 2826, University Library of Munich, Germany. [Downloadable!]
  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, vol. 31(2), pages 181-206, March. [Downloadable!] (restricted)
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  4. Simon Sosvilla-Rivero & Pedro N. Rodríguez, . "Linkages in international stock markets: Evidence from a classification procedure," Working Papers 2004-23, FEDEA. [Downloadable!]
  5. José A. Herce, . "Could this ever happen in Spain? Economic and policy aspects of a SARS-like episode," Working Papers 2004-09, FEDEA. [Downloadable!]
  6. D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," Working Papers 07.14.235, LERNA, University of Toulouse. [Downloadable!]
  7. Fabbri, Giorgio & Faggian, Silvia & Gozzi, Fausto, 2006. "On the Dynamic Programming approach to economic models governed by DDE's," MPRA Paper 2825, University Library of Munich, Germany. [Downloadable!]
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