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Optimal Firm Behavior under Environmental Constraints

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Author Info
Raouf Boucekkine
Natali Hritonenko
Yuri Yatsenko

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Abstract

The paper examines the Porter and induced-innovation hypotheses in a firm model where: (i) the firm has a vintage capital technology with two complementary factors, energy and capital ; (ii) scrapping is endogenous; (iii) technological progress is energy-saving and endogenous through purposive R&D investment; (iv) the innovation rate increases with R&D investment and decreases with complexity; (v) the firm is subject to emission quotas which put an upper bound on its energy consumption at any date; (vi) energy and capital prices are exogenous. Balanced growth paths are first characterized, and a comparative static analysis is performed to study a kind of long-term Porter and induced-innovation hypotheses. In particular, it is shown that tighter emission quotas do not prevent firms to grow in the long-run, thanks to endogenous innovation, but they have an inverse effect on the growth rate of profits. Some short-term dynamics are also produced, particularly, to analyze the role of initial conditions and energy prices in optimal firm behaviour subject to environmental regulation. Among numerous results, we show that (i) firms which are historically “small” polluters find it optimal to massively pollute in the short run: during the transition, new and clean machines will co-exist with old and dirty machines in the productive sectors, implying an unambiguously dirty transition; (ii) higher energy prices induce a shorter lifetime for capital goods but they depress investment in both new capital and R&D, featuring a kind of reverse Hicksian mechanism.

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Paper provided by Department of Economics, University of Glasgow in its series Working Papers with number 2008_11.

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Handle: RePEc:gla:glaewp:2008_11

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Related research
Keywords: Vintage capital; R&D; Emission quotas; Porter hypothesis; Induced innovation hypothesis; Optimization;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior
D92 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Firm Choice and Growth, Investment, or Financing
Q55 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environmental Economics: Technological Innovation
Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounting

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Malcomson, James M., 1975. "Replacement and the rental value of capital equipment subject to obsolescence," Journal of Economic Theory, Elsevier, vol. 10(1), pages 24-41, February. [Downloadable!] (restricted)
  2. Chimeli, Ariaster B. & Braden, John B., 2005. "Total factor productivity and the environmental Kuznets curve," Journal of Environmental Economics and Management, Elsevier, vol. 49(2), pages 366-380, March. [Downloadable!] (restricted)
  3. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July. [Downloadable!] (restricted)
  4. Carraro, Carlo & Siniscaico, Domenico, 1994. "Environmental policy reconsidered: The role of technological innovation," European Economic Review, Elsevier, vol. 38(3-4), pages 545-554, April. [Downloadable!] (restricted)
  5. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June. [Downloadable!] (restricted)
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  6. Raouf, BOUCEKKINE & David, DE LA CROIX & Omar, LICANDRO, 2006. "Vintage Capital," Discussion Papers (ECON - Département des Sciences Economiques) 2006014, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
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    • Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute. [Downloadable!]
    • BOUCEKKINE, Raouf & DE LA CROIX, David & LICANDRO, Omar, 2006. "Vintage capital," CORE Discussion Papers 2006024, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
  7. Xepapadeas, Anastasios & de Zeeuw, Aart, 1999. "Environmental Policy and Competitiveness: The Porter Hypothesis and the Composition of Capital," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 165-182, March. [Downloadable!] (restricted)
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  8. Richard R. Nelson & Edmond S. Phelps, 1965. "Investment in Humans, Technological Diffusion and Economic Growth," Cowles Foundation Discussion Papers 189, Cowles Foundation, Yale University. [Downloadable!]
  9. Richard G. Newell & Adam B. Jaffe & Robert N. Stavins, 1999. "The Induced Innovation Hypothesis And Energy-Saving Technological Change," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 941-975, August. [Downloadable!] (restricted)
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  10. Segerstrom, P.S., 1998. "The Long-Run Growth Effects of R&D Subsidies," Research Institute of Industrial Economics Working Papers 506, Research Institute of Industrial Economics (IFN).
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  11. Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Théophile T. Azomahou & Raouf Boucekkine & Phu Nguyen-Vanc, . "Promoting Clean Technologies: The Energy Market Structure Crucially Matters," Working Papers 2008_13, Department of Economics, University of Glasgow. [Downloadable!]
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  2. Théophile T. Azomahou & Raouf Boucekkine & Phu Nguyen-Vanc, 2009. "Promoting clean technologies under imperfect competition," Working Papers 2009_06, Department of Economics, University of Glasgow. [Downloadable!]
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  3. Yuri, YATSENKO & Raouf, BOUCEKKINE & Natali, HRITONENKO, 2008. "Estimating the Dynamics of R&D-based Growth Models," Discussion Papers (ECON - Département des Sciences Economiques) 2008034, Université catholique de Louvain, Département des Sciences Economiques. [Downloadable!]
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