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Modelling vintage structures with DDEs: Principles and applications

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Author Info
Raouf Boucekkine
David de la Croix
Omar Licandro

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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 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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Paper provided by FEDEA in its series Working Papers with number 2004-07.

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Handle: RePEc:fda:fdaddt:2004-07

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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. 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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  3. 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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  4. 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)
  5. 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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  6. 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)
  7. 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!]
  8. 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. [Downloadable!] (restricted)
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  9. 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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  10. 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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  11. 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. [Downloadable!] (restricted)
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  12. 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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  13. 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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  14. 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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  15. 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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  16. 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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  17. 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)
  18. Dr. Peter Kenning & Hilke Plassmann, 2004. "NeuroEconomics," Experimental 0412005, EconWPA. [Downloadable!]
  19. 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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(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!]
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  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. D'ALBIS Hippolyte & AUGERAUD-VERON Emmanuelle, 2007. "Endogenous Retirement and Monetary Cycles," Working Papers 07.14.235, LERNA, University of Toulouse. [Downloadable!]
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  5. Simon Sosvilla-Rivero & Pedro N. Rodríguez, . "Linkages in international stock markets: Evidence from a classification procedure," Working Papers 2004-23, FEDEA. [Downloadable!]
  6. 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!]
  7. José A. Herce, . "Could this ever happen in Spain? Economic and policy aspects of a SARS-like episode," Working Papers 2004-09, FEDEA. [Downloadable!]
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