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Switching to a sustainable efficient extraction path

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  • Bazhanov, Andrei

Abstract

The economy depends on the essential nonrenewable resource and the path of extraction is nondecreasing and inefficient. At some point the government gradually switches to a sustainable (in sense of nondecreasing consumption over time) pattern of the resource use. Technical restrictions do not allow to switch to the efficient extraction instantly. Transition curves calibrated to the current pattern of world oil production are used as the extraction paths in the "intermediate" period. However, there is no solution in finite time for the "smooth" switching from the optimal "transition" to the optimal efficient path, constructed with respect to the same welfare criterion. We analyze numerically two approaches for the approximate solution: "epsilon-smooth" switching and "epsilon-optimal" transition curve with smooth switching. Both cases give the unexpected result: the consumption path along the "inefficient" transition curve is always superior to the constant which we obtain after switching to the "efficient" Hartwick's curve. The result implies that for the correct switching to the efficient curve in finite time the saving rule must be adjusted. We estimate the importance of following the efficient path by comparing the consumption along the plausible transition path and the efficient pattern of the resource use. For simplicity we use in our examples the constant per capita consumption as a welfare criterion and the Hartwick rule as the benchmark of investment rule.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 2976.

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Date of creation: 20 Apr 2007
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Handle: RePEc:pra:mprapa:2976

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Keywords: Essential nonrenewable resource; Sustainable extraction; Hartwick rule; Transition to efficient path;

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  1. Bazhanov, Andrei, 2007. "The peak of oil extraction and consistency of the government's short- and long-run policies," MPRA Paper 2507, University Library of Munich, Germany.
  2. Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2007. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Journal of Environmental Economics and Management, Elsevier, vol. 53(2), pages 213-229, March.
  3. Grimaud, Andre & Rouge, Luc, 2005. "Polluting non-renewable resources, innovation and growth: welfare and environmental policy," Resource and Energy Economics, Elsevier, vol. 27(2), pages 109-129, June.
  4. John Hartwick, 1976. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," Working Papers 220, Queen's University, Department of Economics.
  5. Bazhanov, Andrei, 2006. "The peak of oil extraction and a modified maximin principle," MPRA Paper 14775, University Library of Munich, Germany, revised 12 Feb 2007.
  6. Jeffrey A. Krautkraemer, 1998. "Nonrenewable Resource Scarcity," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2065-2107, December.
  7. Bazhanov, Andrei, 2005. "Variation principles for modeling in resource economics," MPRA Paper 1309, University Library of Munich, Germany, revised 08 Aug 2006.
  8. Karp, Larry & Livernois, John, 1992. "On efficiency-inducing taxation for a non-renewable resource monopolist," Journal of Public Economics, Elsevier, vol. 49(2), pages 219-239, November.
  9. James A. Brander, 2007. "Viewpoint: Sustainability: Malthus revisited?," Canadian Journal of Economics, Canadian Economics Association, vol. 40(1), pages 1-38, February.
  10. Davis, Graham A & Cairns, Robert D, 1999. "Valuing Petroleum Reserves Using Current Net Price," Economic Inquiry, Western Economic Association International, vol. 37(2), pages 295-311, April.
  11. Bazhanov, Andrei, 2006. "Decreasing of Oil Extraction: Consumption behavior along transition paths," MPRA Paper 469, University Library of Munich, Germany.
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Cited by:
  1. Bazhanov, Andrei, 2008. "Inconsistency between a criterion and the initial conditions," MPRA Paper 6792, University Library of Munich, Germany.

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