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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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  • Huseyin cagri SAGLAM

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

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.

Suggested Citation

  • Huseyin cagri SAGLAM, 2002. "Optimal pattern of technology adoption under embodiment with a finite planning horizon : A multi-stage optimal control approach," LIDAM Discussion Papers IRES 2002031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:2002031
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    References listed on IDEAS

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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.
    2. Mateos-Planas, Xavier, 2000. "Technology adoption with finite horizons," Discussion Paper Series In Economics And Econometrics 0033, Economics Division, School of Social Sciences, University of Southampton.
    3. Jovanovic, Boyan & Nyarko, Yaw, 1996. "Learning by Doing and the Choice of Technology," Econometrica, Econometric Society, vol. 64(6), pages 1299-1310, November.
    4. Maccini, Louis J., 1973. "On optimal delivery lags," Journal of Economic Theory, Elsevier, vol. 6(2), pages 107-125, April.
    5. 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 342-362, June.
    6. 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.
    7. Boyan Jovanovic & Rafael Rob, 1997. "Solow vs. Solow: Machine Prices and Development," NBER Working Papers 5871, National Bureau of Economic Research, Inc.
    8. 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.
    9. Mateos-Planas, Xavier, 2000. "Technology adoption with finite horizons," Discussion Paper Series In Economics And Econometrics 33, Economics Division, School of Social Sciences, University of Southampton.
    10. 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.
    11. Mateos-Planas, Xavier, 2004. "Technology adoption with finite horizons," Journal of Economic Dynamics and Control, Elsevier, vol. 28(11), pages 2129-2154, October.
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    Cited by:

    1. Ragot, Lionel & Schubert, Katheline, 2008. "The optimal carbon sequestration in agricultural soils: Do the dynamics of the physical process matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3847-3865, December.

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    More about this item

    Keywords

    Multi-stage optimal control; technology adoption; learning by doing; embodiment;
    All these keywords.

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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