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Optimal firm behavior under environmental constraints

Author

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  • Raouf, BOUCEKKINE

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Department of Economics)

  • Natali, HRITONENKO
  • Yuri, YATSENKO

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 trough 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 behavior 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.

Suggested Citation

  • Raouf, BOUCEKKINE & Natali, HRITONENKO & Yuri, YATSENKO, 2008. "Optimal firm behavior under environmental constraints," Discussion Papers (ECON - Département des Sciences Economiques) 2008017, Université catholique de Louvain, Département des Sciences Economiques.
  • Handle: RePEc:ctl:louvec:2008017
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Hart, Rob, 2004. "Growth, environment and innovation--a model with production vintages and environmentally oriented research," Journal of Environmental Economics and Management, Elsevier, vol. 48(3), pages 1078-1098, November.
    6. 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).
    7. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2005. "Environmental policy, the porter hypothesis and the composition of capital: Effects of learning and technological progress," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 434-446, September.
    8. 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.
    9. 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.
    10. 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.
    11. R. M. Solow & J. Tobin & C. C. von Weizsäcker & M. Yaari, 1966. "Neoclassical Growth with Fixed Factor Proportions," Review of Economic Studies, Oxford University Press, vol. 33(2), pages 79-115.
    12. Richard R. Nelson & Edmond S. Phelps, 1965. "Investment in Humans, Technological Diffusion and Economic Growth," Cowles Foundation Discussion Papers 189, Cowles Foundation for Research in Economics, Yale University.
    13. Richard G. Newell & Adam B. Jaffe & Robert N. Stavins, 1999. "The Induced Innovation Hypothesis and Energy-Saving Technological Change," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 941-975.
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    Cited by:

    1. Boucekkine, Raouf & Hritonenko, Natali & Yatsenko, Yuri, 2011. "Scarcity, regulation and endogenous technical progress," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 186-199, March.
    2. 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.
    3. Théophile T. Azomahou & Raouf Boucekkine & Phu Nguyen-Vanc, 2009. "Promoting clean technologies under imperfect competition," Working Papers 2009_06, Business School - Economics, University of Glasgow.
    4. Théophile T. Azomahou & Raouf Boucekkine & Phu Nguyen-Vanc, "undated". "Promoting Clean Technologies: The Energy Market Structure Crucially Matters," Working Papers 2008_13, Business School - Economics, University of Glasgow.
    5. Brechet, Thierry & HRITONENKO, Natali & YATSENKO, Yuri, 2010. "Adaptation and mitigation in long-term climate policies," CORE Discussion Papers 2010065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Mikael Linden, Matti Makela, and Jussi Uusivuori, 2013. "Fuel Input Substitution under Tradable Carbon Permits System: Evidence from Finnish Energy Plants 2005-2008," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    7. Alejandro Caparrós & Richard E. Just & David Zilberman, 2015. "Dynamic Relative Standards versus Emission Taxes in a Putty-Clay Model," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 2(2), pages 277-308.

    More about this item

    Keywords

    matching problem; von Neumann-Morgenstern stable sets; farsighted stability;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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