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)
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