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Characterizing the Sustainability Problem in an Exhaustible Resource Model

  • Tapan, Mitra

    ()

    (Department of Economics, Cornell University)

  • Asheim, Geir B.

    ()

    (Dept. of Economics, University of Oslo)

  • Buchholz, Wolfgang

    ()

    (Department of Economics, University of Regensburg)

  • Withagen, Cees

    ()

    (Department of Economics, VU University Amsterdam)

The Dasgupta-Heal-Solow-Stiglitz model of capital accumulation and resource depletion poses the following sustainability problem: is it feasible to sustain indefinitely a level of consumption that is bounded away from zero? We provide a complete technological characterization of the sustainability problem in this model without reference to the time path. As a byproduct we show general existence of a maximin optimal path under weaker conditions that those employed in previous work. Our proofs yield new insights into the meaning and significance of Hartwick's reinvestment rule.

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File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2012/Memo-08-2012.pdf
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Paper provided by Oslo University, Department of Economics in its series Memorandum with number 08/2012.

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Length: 40 pages
Date of creation: 05 Mar 2012
Date of revision:
Handle: RePEc:hhs:osloec:2012_008
Contact details of provider: Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
Phone: 22 85 51 27
Fax: 22 85 50 35
Web page: http://www.oekonomi.uio.no/indexe.html
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  1. Dasgupta, Swapan & Mitra, Tapan, 2002. "Intertemporal Equity and Hartwick's Rules in an Exhaustible Resource Model," Working Papers 02-05, Cornell University, Center for Analytic Economics.
  2. Geir B. Asheim & Wolfgang Buchholz & John M. Hartwick & Tapan Mitra & Cees A. Withagen, 2005. "Constant Savings Rates and Quasi-Arithmetic Population Growth under Exhaustible Resource Constraints," CESifo Working Paper Series 1573, CESifo Group Munich.
  3. Dasgupta, Swapan & Mitra, Tapan, 1983. "Intergenerational Equity and Efficient Allocation of Exhaustible Resources," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 133-53, February.
  4. Cass, David, 1990. "Indefinitely sustained consumption despite exhaustible natural resources," CEPREMAP Working Papers (Couverture Orange) 9027, CEPREMAP.
  5. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
  6. Tapan, Mitra & Asheim, Geir B. & Buchholz, Wolfgang & Withagen, Cees, 2012. "Characterizing the Sustainability Problem in an Exhaustible Resource Model," Memorandum 08/2012, Oslo University, Department of Economics.
  7. ZUBER, Stéphane, 2010. "Justifying social discounting: the rank-discounted utilitarian approach," CORE Discussion Papers 2010036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Burmeister, Edwin & Hammond, P J, 1977. "Maximin Paths of Heterogeneous Capital Accumulation and the Instability of Paradoxical Steady States," Econometrica, Econometric Society, vol. 45(4), pages 853-70, May.
  9. Asheim, Geir B. & Mitra, Tapan, 2010. "Sustainability and discounted utilitarianism in models of economic growth," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 148-169, March.
  10. John Hartwick, 1976. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," Working Papers 220, Queen's University, Department of Economics.
  11. Martinet, V. & Doyen, L., 2007. "Sustainability of an economy with an exhaustible resource: A viable control approach," Resource and Energy Economics, Elsevier, vol. 29(1), pages 17-39, January.
  12. Cairns, Robert D. & Long, Ngo Van, 2006. "Maximin: a direct approach to sustainability," Environment and Development Economics, Cambridge University Press, vol. 11(03), pages 275-300, June.
  13. Dixit, Avinash & Hammond, Peter & Hoel, Michael, 1980. "On Hartwick's Rule for Regular Maximin Paths of Capital Accumulation and Resource Depletion," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 551-56, April.
  14. Withagen, Cees & B. Asheim, Geir, 1998. "Characterizing sustainability: The converse of Hartwick's rule," Journal of Economic Dynamics and Control, Elsevier, vol. 23(1), pages 159-165, September.
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