Efficient and Optimal Capital Accumulation under a Non Renewable Resource Constraint
AbstractUsual resource models with capital accumulation focus upon simple one to one process transforming output either into some consumption good or into some capitalgood. We consider a bisectoral model where the capital good, labor and a non renewable resource are used to produce the consumption good and the capital good. Capitalaccumulation is an irreversible process and capital is depreciating over time. In thisframework we reconsider the usual results of the efficient and optimal growth theoryunder an exhaustible resource constraint. We show that the efficiency conditions relatesto an investment function including the properties of the production functions of theboth sectors what cannot be shown neither in the monosectoral canonical model ofDasgupta and Heal nor in the fully disaggregated model of Dixit, Hammond and Heolwhich is disolving the sectoral structure of the economy. We show then that the standard Hotelling rule relating the growth rate of the consumption good to the growth rateof the marginal productivity of the resource in the consumption good sector remainsvalid independently of the multisectoral specification of the model. Last we exploredifferent forms of the Hartwick rule in the context of efficient paths and optimal paths.
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Bibliographic InfoPaper provided by Institut d'Économie Industrielle (IDEI), Toulouse in its series IDEI Working Papers with number 51.
Date of creation: Nov 2008
Date of revision:
Publication status: Published in Revue d'Économie Politique, vol.�119, n°6, novembre 2008, p.�791-825.
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Other versions of this item:
- Michel Moreaux & Jean-Pierre Amigues, 2008. "Efficient and Optimal Capital Accumulation under a Non Renewable Resource Constraint," Revue d'économie politique, Dalloz, vol. 0(6), pages 791-825.
- O30 - Economic Development, Technological Change, and Growth - - Technological Change; Research and Development; Intellectual Property Rights - - - General
- O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
- Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
- Q32 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - Exhaustible Resources and Economic Development
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-01-24 (All new papers)
- NEP-ENE-2009-01-24 (Energy Economics)
- NEP-ENV-2009-01-24 (Environmental Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Mitra, Tapan, 1978. "Efficient growth with exhaustible resources in a neoclassical model," Journal of Economic Theory, Elsevier, vol. 17(1), pages 114-129, February.
- 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.
- 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.
- 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.
- Asheim, Geir B. & Buchholz, Wolfgang & Hartwick, John M. & Mitra, Tapan & Withagen, Cees, 2005. "Constant savings rates and quasi-arithmetic population growth under exhaustible resource constraints," Memorandum 23/2005, Oslo University, Department of Economics.
- Cass, David, 1990.
"Indefinitely sustained consumption despite exhaustible natural resources,"
CEPREMAP Working Papers (Couverture Orange)
- Cass, David & Mitra, Tapan, 1991. "Indefinitely Sustained Consumption Despite Exhaustible Natural Resources," Economic Theory, Springer, vol. 1(2), pages 119-46, April.
- R. M. Solow, 1973. "Intergenerational Equity and Exhaustable Resources," Working papers 103, Massachusetts Institute of Technology (MIT), Department of Economics.
- Heal, G., 1990.
"The Optimal Use Of Exhaustible Resources,"
fb-_90-10, Columbia - Graduate School of Business.
- John Hartwick, 1976.
"Intergenerational Equity and the Investing of Rents from Exhaustible Resources,"
220, Queen's University, Department of Economics.
- Hartwick, John M, 1977. "Intergenerational Equity and the Investing of Rents from Exhaustible Resources," American Economic Review, American Economic Association, vol. 67(5), pages 972-74, December.
- 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.
- Pezzey, John C V & Withagen, Cees A, 1998. " The Rise, Fall and Sustainability of Capital-Resource Economies," Scandinavian Journal of Economics, Wiley Blackwell, vol. 100(2), pages 513-27, June.
- Mitra, Tapan, 2002.
"Intertemporal Equity and Efficient Allocation of Resources,"
Journal of Economic Theory,
Elsevier, vol. 107(2), pages 356-376, December.
- Mitra, Tapan, 2000. "Intertemporal Equity and Efficient Allocation of Resources," Working Papers 00-12, Cornell University, Center for Analytic Economics.
- Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
- 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.
- Michel, P., 1980.
"On the Transversality Condition in Infinite Horizon Optimal Problems,"
Cahiers de recherche
8024, Universite de Montreal, Departement de sciences economiques.
- Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-85, July.
- 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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