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Technology adoption under embodiment: a two-stage optimal control approach

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  • BOUCEKKINE, Raouf
  • SAGLAM, Cagri
  • VALLEE, Thomas

Abstract

We use two stage optimal control techniques to solve some adoption problems under embodied technical change. We first solve a bench- mark problem without learning behavior. At the date of switching, the consumption level is shown to drop, as the relative price of capital goes down (obsolescence). In such a case, the economy sticks to the initial technology, or immediately switches to a new technology with a higher level of embodiment, depending on how the obsolescence costs compare to the induced growth advantage. In a second step, we intro- duce learning. The learning curve involves fixed costs and incentives to wait as well. Adoption is shown to depend on the growth advan- tage of switching net of obsolescence and learning fixed costs. The economy will switch if and only if this indicator is positive. If it is big enough to "compensate" the option of waiting, then the economy switches immediately. Otherwise, the economy waits.
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Suggested Citation

  • BOUCEKKINE, Raouf & SAGLAM, Cagri & VALLEE, Thomas, 2004. "Technology adoption under embodiment: a two-stage optimal control approach," LIDAM Reprints CORE 1702, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1702
    DOI: 10.1017/S1365100503030062
    Note: In : Macroeconomics Dynamics, 8, 250-271, 2004
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    References listed on IDEAS

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    1. Raouf Boucekkine & Fernando Del Río & Omar Licandro, 2003. "Embodied Technological Change, Learning‐by‐doing and the Productivity Slowdown," Scandinavian Journal of Economics, Wiley Blackwell, vol. 105(1), pages 87-98, March.
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    4. 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.
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    8. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
    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.
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    More about this item

    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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