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Price, scarcity rent, and a modified r per cent rule for non-renewable resources

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Author Info
John Livernois
Patrick Martin

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Abstract

Since Hotelling's seminal paper on the optimal depletion of exhaustible resources, much has been published; yet confusion remains about whether scarcity rent and price increase or decrease as a resource is depleted when costs tend to rise with depletion. We show that Hotelling's fundamental results of rising scarcity rent and price paths are sustained and that the path of scarcity rent converges on the per cent rule, provided the objective function is concave. Predictions of non-monotonic or declining scarcity rent paths are due to implicit assumptions that lead to a non-concave objective function. We identify the sources of these non-concavities.

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Publisher Info
Article provided by Canadian Economics Association in its journal Canadian Journal of Economics.

Volume (Year): 34 (2001)
Issue (Month): 3 (August)
Pages: 827-845
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Handle: RePEc:cje:issued:v:34:y:2001:i:3:p:827-845

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Find related papers by JEL classification:
Q30 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation - - - General
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

Cited by:
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  1. Chakravorty, Ujjayant & Magne, Bertrand & Moreaux, Michel, 2003. "From Coal to Clean Energy : Hotelling with a Limit on the Stock of Externalities," IDEI Working Papers 229, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
    Other versions:
  2. Livernois, J. & Thille, H. & Zhang, X., 2003. "A Test of the Hotelling Rule Using Old-Growth Timber Data," Working Papers 2003-4, University of Guelph, Department of Economics. [Downloadable!]
    Other versions:
  3. John Hartwick & Andrei Bazhanov & Zhen Song, 2007. "Declining Exhaustible Resource Rent with Small, Distinct Extractive Firms," Working Papers 1139, Queen's University, Department of Economics. [Downloadable!]
  4. John Hartwick & Andrei Bazhanov & Zhen Song, 2007. "The Extractive Firm's Cost Spillover Tax for the Extended Hotelling Model," Working Papers 1169, Queen's University, Department of Economics. [Downloadable!]
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This page was last updated on 2009-11-25.


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