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A Hotelling Model with a Ceiling on the Stock of Pollution

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  • Chakravorty, Ujjayant
  • Magné, Bertrand
  • Moreaux, Michel

Abstract

Environmental agreements such as the Kyoto Protocol aim to stabilize the amount of carbon in the atmosphere, which is mainly caused by the burning of nonrenewable resources such as coal. We characterize the solution to the textbook Hotelling model when there is a ceiling on the stock of emissions. We consider both increasing and decreasing demand for energy. We show that when the ceiling is binding, both the low-cost nonrenewable resource and the high-cost renewable resource may be used jointly. A key implication is that if energy demand were to decline in the long run, we may supplement energy supply through "clean" renewables to meet the environmental standard, but then revert back to using only "dirty" fossil fuels in the future when the ceiling has become non-binding. That is, the much heralded societal "transition" to clean energy resources may be somewhat short-lived.
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  • Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2005. "A Hotelling Model with a Ceiling on the Stock of Pollution," IDEI Working Papers 368, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:1165
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    1. Carolyn Fischer & Cees Withagen & Michael Toman, 2004. "Optimal Investment in Clean Production Capacity," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 28(3), pages 325-345, July.
    2. Hoel, Michael & Kverndokk, Snorre, 1996. "Depletion of fossil fuels and the impacts of global warming," Resource and Energy Economics, Elsevier, vol. 18(2), pages 115-136, June.
    3. Wolfgang Lutz & Warren Sanderson & Sergei Scherbov, 2001. "The end of world population growth," Nature, Nature, vol. 412(6846), pages 543-545, August.
    4. Gjerde, Jon & Grepperud, Sverre & Kverndokk, Snorre, 1999. "Optimal climate policy under the possibility of a catastrophe," Resource and Energy Economics, Elsevier, vol. 21(3-4), pages 289-317, August.
    5. Sinclair, Peter J N, 1994. "On the Optimum Trend of Fossil Fuel Taxation," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 869-877, Supplemen.
    6. Farzin, Y. H., 1996. "Optimal pricing of environmental and natural resource use with stock externalities," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 31-57, October.
    7. Toman, Michael A. & Withagen, Cees, 2000. "Accumulative pollution, "clean technology," and policy design," Resource and Energy Economics, Elsevier, vol. 22(4), pages 367-384, October.
    8. Olli Tahvonen, 1997. "Fossil Fuels, Stock Externalities, and Backstop Technology," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 855-874, November.
    9. Zhang, ZhongXiang & Folmer, Henk, 1998. "Economic modelling approaches to cost estimates for the control of carbon dioxide emissions1," Energy Economics, Elsevier, vol. 20(1), pages 101-120, February.
    10. Forster, Bruce A., 1980. "Optimal energy use in a polluted environment," Journal of Environmental Economics and Management, Elsevier, vol. 7(4), pages 321-333, December.
    11. Nordhaus, William D & Yang, Zili, 1996. "A Regional Dynamic General-Equilibrium Model of Alternative Climate-Change Strategies," American Economic Review, American Economic Association, vol. 86(4), pages 741-765, September.
    12. Amigues, Jean-Pierre & Favard, Pascal & Gaudet, Gerard & Moreaux, Michel, 1998. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute Is Limited," Journal of Economic Theory, Elsevier, vol. 80(1), pages 153-170, May.
    13. Kolstad, Charles D. & Krautkraemer, Jeffrey A., 1993. "Natural resource use and the environment," Handbook of Natural Resource and Energy Economics, in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 26, pages 1219-1265, Elsevier.
    14. Alan S. Manne & Richard G. Richels, 1991. "Global CO2 Emission Reductions - the Impacts of Rising Energy Costs," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 87-108.
    15. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39, pages 137-137.
    16. Warwick J. McKibbin & Peter J. Wilcoxen, 2002. "The Role of Economics in Climate Change Policy," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 107-129, Spring.
    17. Chakravorty, Ujjayant & Roumasset, James & Tse, Kinping, 1997. "Endogenous Substitution among Energy Resources and Global Warming," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1201-1234, December.
    18. Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2006. "Can Nuclear Power solve the Global Warming Problem?," IDEI Working Papers 381, Institut d'Économie Industrielle (IDEI), Toulouse.
    19. Ulph, Alistair & Ulph, David, 1994. "The Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 857-868, Supplemen.
    20. Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2004. "Plafond de concentration atmosphérique en carbone et substitutions entre ressources énergétiques," IDEI Working Papers 260, Institut d'Économie Industrielle (IDEI), Toulouse.
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    JEL classification:

    • Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets
    • Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
    • Q41 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - Demand and Supply; Prices

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