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On competitive equitable paths under exhaustible resource constraints: The case of a growing population

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  • Tapan Mitra

Abstract

The paper examines the nature of competitive paths in an exhaustible resource model, which allows for growing population. For competitive paths which are equitable in the sense that the per capita consumption level is constant over time, the implicit investment rule is derived. This is seen to be a generalization of Hartwick's rule, obtained in the case of a stationary population. It is also shown that the existence of a competitive equitable path implies that population can experience at most quasi-arithmetic growth.

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Bibliographic Info

Article provided by The International Society for Economic Theory in its journal International Journal of Economic Theory.

Volume (Year): 4 (2008)
Issue (Month): 1 ()
Pages: 53-76

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Handle: RePEc:bla:ijethy:v:4:y:2008:i:1:p:53-76

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References

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  1. Wolfgang Buchholz & Swapan Dasgupta & Tapan Mitra, 2005. "Intertemporal Equity and Hartwick's Rule in an Exhaustible Resource Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 107(3), pages 547-561, 09.
  2. Mitra, Tapan, 1978. "Efficient growth with exhaustible resources in a neoclassical model," Journal of Economic Theory, Elsevier, vol. 17(1), pages 114-129, February.
  3. Solow, Robert M, 1986. " On the Intergenerational Allocation of Natural Resources," Scandinavian Journal of Economics, Wiley Blackwell, vol. 88(1), pages 141-49.
  4. Takekuma, Shin-Ichi, 1982. "A Support Price Theorem for the Continuous Time Model of Capital Accumulation," Econometrica, Econometric Society, vol. 50(2), pages 427-42, March.
  5. 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.
  6. Mitra, Tapan, 2002. "Intertemporal Equity and Efficient Allocation of Resources," Journal of Economic Theory, Elsevier, vol. 107(2), pages 356-376, December.
  7. Cass, David & Mitra, Tapan, 1991. "Indefinitely Sustained Consumption Despite Exhaustible Natural Resources," Economic Theory, Springer, vol. 1(2), pages 119-46, April.
  8. 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.
  9. John Hartwick, 1976. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," Working Papers 220, Queen's University, Department of Economics.
  10. Mitra, Tapan, 1983. "Limits on Population Growth under Exhaustible Resource Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(1), pages 155-68, February.
  11. Geir Asheim & Wolfgang Buchholz & Cees Withagen, 2003. "The Hartwick Rule: Myths and Facts," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 25(2), pages 129-150, June.
  12. 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.
  13. R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
  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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Cited by:
  1. Cheviakov, Alexei F. & Hartwick, John, 2009. "Constant per capita consumption paths with exhaustible resources and decaying produced capital," Ecological Economics, Elsevier, vol. 68(12), pages 2969-2973, October.

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