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Efficient and Optimal Capital Accumulation under a Non Renewable Resource Constraint

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  • Amigues, Jean-Pierre
  • Moreaux, Michel

Abstract

Usual 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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  • Amigues, Jean-Pierre & Moreaux, Michel, 2008. "Efficient and Optimal Capital Accumulation under a Non Renewable Resource Constraint," IDEI Working Papers 51, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:10018
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    More about this item

    JEL classification:

    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O41 - Economic Development, Innovation, 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

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