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

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

We use two stage optimal control techniques to solve some adoption problems under embodied technical change. We first solve a benchmark 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 introduce learning. The learning curve involves fixed costs and incentives to wait as well. Adoption is shown to depend on the growth advantage 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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File URL: http://dx.doi.org/10.1017/S1365100503030062
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -1702.

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Handle: RePEc:cor:louvrp:-1702
Note: In : Macroeconomics Dynamics, 8, 250-271, 2004
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  1. Raouf BOUCEKKINE & Fernando DEL RIO & Omar LICANDRO, 2002. "Embodied Technological Change, Learning-by-Doing and the Productivity Slowdown," Economics Working Papers ECO2002/12, European University Institute.
  2. 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.
  3. Krusell, Per, 1998. " Investment-Specific R&D and the Decline in the Relative Price of Capital," Journal of Economic Growth, Springer, vol. 3(2), pages 131-41, June.
  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.
  5. 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.
  6. Galor, O. & Tsiddon, D., 1996. "Technological Progress, Mobility and Economic Growth," Papers 13-96, Tel Aviv.
  7. Oded Galor & Omer Moav, 1998. "Ability Biased Technological Transition, Wage Inequality, and Economic Growth," Working Papers 98-14, Brown University, Department of Economics.
  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. Boyan Jovanovic, 1995. "Learning and Growth," NBER Working Papers 5383, National Bureau of Economic Research, Inc.
  10. Makris, Miltiadis, 2001. "Necessary conditions for infinite-horizon discounted two-stage optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1935-1950, December.
  11. Greenwood, J. & Hercowitz, Z. & Krusell, P., 1995. "Long-Run Implications of Investment-Specific Technological Change," UWO Department of Economics Working Papers 9510, University of Western Ontario, Department of Economics.
  12. 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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