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Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach

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  • BOUCEKKINE, RAOUF
  • SAGLAM, CAGRI
  • VALL EE, THOMAS

Abstract

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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Bibliographic Info

Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 8 (2004)
Issue (Month): 02 (April)
Pages: 250-271

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Handle: RePEc:cup:macdyn:v:8:y:2004:i:02:p:250-271_03

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References

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  1. Jeremy Greenwood & Boyan Jovanovic, 2000. "Accounting for Growth," RCER Working Papers 475, University of Rochester - Center for Economic Research (RCER).
    • 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.
  2. 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.
  3. Greenwood, J. & Hercowitz, Z. & Krusell, P., 1996. "Long-Run Implications of Investment-Specific Technological Change," RCER Working Papers 420, University of Rochester - Center for Economic Research (RCER).
  4. Galor, Oded & Tsiddon, Daniel, 1997. "Technological Progress, Mobility, and Economic Growth," American Economic Review, American Economic Association, vol. 87(3), pages 363-82, June.
  5. Boyan Jovanovic & Yaw Nyarko, 1994. "Learning By Doing and the Choice of Technology," NBER Working Papers 4739, National Bureau of Economic Research, Inc.
  6. 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.
  7. 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.
  8. Oded Galor & Omer Moav, 1998. "Ability Biased Technological Transition, Wage Inequality, and Economic Growth," Working Papers 98-14, Brown University, Department of Economics.
  9. 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.
  10. Boyan Jovanovic, 1995. "Learning and Growth," NBER Working Papers 5383, National Bureau of Economic Research, Inc.
  11. 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.
  12. Parente Stephen L., 1994. "Technology Adoption, Learning-by-Doing, and Economic Growth," Journal of Economic Theory, Elsevier, vol. 63(2), pages 346-369, August.
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Citations

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Cited by:
  1. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "On the Timing and Optimality of Capital Controls: Public Expenditures, Debt Dynamics and Welfare," Working Papers halshs-00793196, HAL.
  2. Erol Dogan & Cuong Le Van & Cagri Saglam, 2010. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Working Papers 16, Development and Policies Research Center (DEPOCEN), Vietnam.
  3. Harada, Tsutomu, 2010. "Path-dependent economic progress and regress: The negative role of subsidies in economic growth," Structural Change and Economic Dynamics, Elsevier, vol. 21(3), pages 197-205, August.
  4. Raouf Boucekkine & Benteng Zou, 2010. "Catching-up with the "locomotive": a simple theory," Working Papers 428, Bielefeld University, Center for Mathematical Economics.
  5. Ngo Van Long & Fabien Prieur & Klarizze Puzon & Mabel Tidball, 2013. "Markov Perfect Equilibria in Differential Games with Regime Switching Strategies," Working Papers 13-06, LAMETA, Universtiy of Montpellier, revised Jan 2014.
  6. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers halshs-00793200, HAL.
  7. repec:hal:journl:halshs-00639729 is not listed on IDEAS
  8. Gemma Larramona & Josefina Cabeza & Rosa Aisa, 2007. "Timing of migration," Economics Bulletin, AccessEcon, vol. 6(15), pages 1-10.
  9. repec:ebl:ecbull:v:6:y:2007:i:15:p:1-10 is not listed on IDEAS
  10. Katrin Millock & Angels Xabadia & David Zilberman, 2009. "Investment Policy for New Environmental Monitoring Technologies to Manage Stock Externalities," Post-Print halshs-00367888, HAL.
  11. Chahim, M. & Grass, D. & Hartl, R.F. & Kort, P.M., 2012. "Product Innovation with Lumpy Investment," Discussion Paper 2012-074, Tilburg University, Center for Economic Research.

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