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Scarcity, regulation and endogenous technical progress

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  • BOUCEKKINE, Raouf
  • HRITONENKO, Natali
  • YATSENKO, Yuri

Abstract

This paper studies to which extent a firm using a scarce resource input and facing environmental regulation can still manage to have a sustainable growth of output and profits. The firm has a vintage capital technology with two complementary factors, capital and a resource input subject to quota, the latter being increasingly scarce through an exogenously rising price. The firm can scrap obsolete capital and invest in adoptive and/or innovative R&D resource-saving activities. Within this realistic framework, we first characterize long-term growth regimes driven by scarcity (induced-innovation) vs. long-term growth regimes driven by quota regulation (Porter-like innovation). More importantly, we study the interaction between scarcity and quota regulation. In particular, we show that there exists a threshold level for the growth rate of the resource price above which the Porter mechanism is killed while the scarcity-induced growth regime may emerge. Symmetrically, we also find that there must exist a threshold value for the environmental quota under which the growth regime induced by scarcity vanishes while the Porter-like growth regime may survive.
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Suggested Citation

  • BOUCEKKINE, Raouf & HRITONENKO, Natali & YATSENKO, Yuri, 2011. "Scarcity, regulation and endogenous technical progress," LIDAM Reprints CORE 2334, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2334
    DOI: 10.1016/j.jmateco.2011.02.002
    Note: In : Journal of Mathematical Economics, 47(2), 186-199, 2011
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    as
    1. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2008. "Financially constrained capital investments: The effects of disembodied and embodied technological progress," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 459-483, April.
    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. N. Hritonenko & Yu. Yatsenko, 2005. "Turnpike and Optimal Trajectories in Integral Dynamic Models with Endogenous Delay," Journal of Optimization Theory and Applications, Springer, vol. 127(1), pages 109-127, October.
    4. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, "undated". "Optimal Firm Behavior under Environmental Constraints," Working Papers 2008_11, Business School - Economics, University of Glasgow.
    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.
    6. 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.
    7. 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.
    8. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 1998. "Creative Destruction, Investment Volatility, and the Average Age of Capital," Journal of Economic Growth, Springer, vol. 3(4), pages 361-384, December.
    9. Raouf Boucekkine & David de la Croix & Omar Licandro, 2006. "Vintage Capital," Economics Working Papers ECO2006/8, European University Institute.
    10. 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.
    11. Montgomery, W. David, 1972. "Markets in licenses and efficient pollution control programs," Journal of Economic Theory, Elsevier, vol. 5(3), pages 395-418, December.
    12. 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 131-141, June.
    13. Kenneth Arrow & Partha Dasgupta & Lawrence Goulder & Gretchen Daily & Paul Ehrlich & Geoffrey Heal & Simon Levin & Karl-Göran Mäler & Stephen Schneider & David Starrett & Brian Walker, 2004. "Are We Consuming Too Much?," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 147-172, Summer.
    14. 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.
    15. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models," Journal of Economic Theory, Elsevier, vol. 88(1), pages 161-187, September.
    16. David Popp, 2002. "Induced Innovation and Energy Prices," American Economic Review, American Economic Association, vol. 92(1), pages 160-180, March.
    17. Kamien, Morton I & Schwartz, Nancy L, 1969. "Induced Factor Augmenting Technical Progress from a Microeconomic Viewpoint," Econometrica, Econometric Society, vol. 37(4), pages 668-684, October.
    18. Benhabib, Jess & Rustichini, Aldo, 1991. "Vintage capital, investment, and growth," Journal of Economic Theory, Elsevier, vol. 55(2), pages 323-339, December.
    19. YATSENKO, Yuri & BOUCEKKINE, Raouf & HRITONENKO, Natali, 2009. "On explosive dynamics in R&D-based models of endogenous growth," LIDAM Reprints CORE 2205, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. repec:cor:louvrp:-2205 is not listed on IDEAS
    21. Segerstrom, Paul S, 2000. "The Long-Run Growth Effects of R&D Subsidies," Journal of Economic Growth, Springer, vol. 5(3), pages 277-305, September.
    22. R. M. Solow & J. Tobin & C. C. Weizsäcker & M. Yaari, 1971. "Neoclassical Growth with Fixed Factor Proportions," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 9, pages 68-102, Palgrave Macmillan.
    23. Adam Jaffe & Richard Newell & Robert Stavins, 2002. "Environmental Policy and Technological Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 22(1), pages 41-70, June.
    24. Omar Licandro & Luis Puch & Antonio Sampayo, 2008. "A Vintage Model of Trade in Secondhand Markets and the Lifetime of Durable Goods," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 249-266.
    25. Richard G. Newell & Adam B. Jaffe & Robert N. Stavins, 1999. "The Induced Innovation Hypothesis and Energy-Saving Technological Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 941-975.
    26. Tsur, Yacov & Zemel, Amos, 2005. "Scarcity, growth and R&D," Journal of Environmental Economics and Management, Elsevier, vol. 49(3), pages 484-499, May.
    27. repec:cor:louvrp:-1376 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2017. "Technological Progress, Employment and the Lifetime of Capital," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 305-337, Springer.
    2. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    3. Raouf Boucekkine & David De la Croix & Omar Licandro, 2011. "Vintage Capital Growth Theory: Three Breakthroughs," Working Papers 565, Barcelona School of Economics.
    4. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2013. "Health, Work Intensity, and Technological Innovations," AMSE Working Papers 1320, Aix-Marseille School of Economics, France, revised Mar 2013.
    5. Thierry Bréchet & Natali Hritonenko & Yuri Yatsenko, 2013. "Adaptation and Mitigation in Long-term Climate Policy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 55(2), pages 217-243, June.
    6. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2014. "Optimal Investment in Heterogeneous Capital and Technology Under Restricted Natural Resource," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 310-331, October.
    7. Kredler, Matthias, 2014. "Vintage human capital and learning curves," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 154-178.
    8. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, 2011. "Sustainable growth under pollution quotas: optimal R&D, investment and replacement policies," Working Papers halshs-00632887, HAL.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development

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