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Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach

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Author Info
Huseyin cagri SAGLAM (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

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Abstract

By deriving the necessary conditions for a multi-stage discounted optimal control problem where the endogenous switching instants between regimes appear as an argument of the objective function and the state equation, we analyze the optimal pattern of technology adoption under embodiment with a finite planning horizon. The economy is characterized by the existence of an exogenously growing technology frontier and technology specific learning by doing. We obtain time varying durations for the adopted technologies to be in use due to finite planning horizon. We analyze numerically the effects of planing horizon, speed of learning, growth rate of technology and impatience rate on the optimal pattern.

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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 2002031.

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Length: 26
Date of creation: 01 Jun 2002
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Handle: RePEc:ctl:louvir:2002031

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Related research
Keywords: Multi-stage optimal control; technology adoption; learning by doing; embodiment;

Find related papers by JEL classification:
E22 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
O40 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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  1. Xavier Mateos-Planas, 2001. "Schooling and Distortions in a Vintage Capital Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 127-158, January. [Downloadable!] (restricted)
    Other versions:
  2. Jeremy Greenwood & Boyan Jovanovic, 1998. "Accounting for Growth," NBER Working Papers 6647, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
    • Jeremy Greenwood & Boyan Jovanovic, 2000. "Accounting for Growth," RCER Working Papers 475, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
    • Jeremy Greenwood & Boyan Jovanovic, 2001. "Accounting for Growth," NBER Chapters, in: New Developments in Productivity Analysis, pages 179-224 National Bureau of Economic Research, Inc. [Downloadable!]
  3. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November. [Downloadable!] (restricted)
  4. Jovanovic, B. & Nyarko, Y., 1996. "Learning by Doing and the Choice of Technology," Working Papers 96-25, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
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  5. Mateos-Planas, X., 2000. "Technology Adoption with Finite Horizons," Discussion Paper Series In Economics And Econometrics 0033, Economics Division, School of Social Sciences, University of Southampton.
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  6. Greenwood, Jeremy & Hercowitz, Zvi & Krusell, Per, 1997. "Long-Run Implications of Investment-Specific Technological Change," American Economic Review, American Economic Association, vol. 87(3), pages 342-62, June. [Downloadable!] (restricted)
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  7. Boyan Jovanovic & Rafael Rob, 1997. "Solow vs. Solow: Machine Prices and Development," NBER Working Papers 5871, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  8. Maccini, Louis J., 1973. "On optimal delivery lags," Journal of Economic Theory, Elsevier, vol. 6(2), pages 107-125, April. [Downloadable!] (restricted)
  9. Tomiyama, Ken & Rossana, Robert J., 1989. "Two-stage optimal control problems with an explicit switch point dependence : Optimality criteria and an example of delivery lags and investment," Journal of Economic Dynamics and Control, Elsevier, vol. 13(3), pages 319-337, July. [Downloadable!] (restricted)
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  1. Lionel Ragot & Katheline Schubert, 2006. "The optimal carbon sequestration in agricultural soils : does the dynamics of the physical process matter ?," Cahiers de la Maison des Sciences Economiques v06040, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
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