Technology adoption under embodiment: a two-stage optimal control approach
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.
|Date of creation:||00 Jul 2003|
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- 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.
- Jeremy Greenwood & Boyan Jovanovic, 2001.
"Accounting for Growth,"
in: New Developments in Productivity Analysis, pages 179-224
National Bureau of Economic Research, Inc.
- Oded Galor & Omer Moav, 1998.
"Ability Biased Technological Transition, Wage Inequality, and Economic Growth,"
98-14, Brown University, Department of Economics.
- Oded Galor & Omer Moav, 2000. "Ability-Biased Technological Transition, Wage Inequality, and Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 115(2), pages 469-497.
- Boyan Jovanovic, 1995. "Learning and Growth," NBER Working Papers 5383, National Bureau of Economic Research, Inc.
- Galor, Oded & Tsiddon, Daniel, 1996.
"Technological Progress, Mobility, and Economic Growth,"
CEPR Discussion Papers
1413, C.E.P.R. Discussion Papers.
- Galor, Oded & Tsiddon, Daniel, 1997. "Technological Progress, Mobility, and Economic Growth," American Economic Review, American Economic Association, vol. 87(3), pages 363-82, June.
- Galor, O. & Tsiddon, D., 1996. "Technological Progress, Mobility and Economic Growth," Papers 13-96, Tel Aviv.
- 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.
- 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).
- 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.
- Boyan Jovanovic & Yaw Nyarko, 1994.
"Learning By Doing and the Choice of Technology,"
NBER Working Papers
4739, National Bureau of Economic Research, Inc.
- 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, 03.
- Raouf BOUCEKKINE & Fernando DEL RIO & Omar LICANDRO, 2002. "Embodied technological change learning-by-doing and the productivity slowdown," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- 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.
- BOUCEKKINE, Raouf & DEL RIO, Fernando & LICANDRO, Omar, . "Embodied technological change, learning-by-doint and the productivity slowdown," CORE Discussion Papers RP 1629, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- 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.
- 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.
- 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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