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The Hotelling's Rule Revisited in a Dynamic General Equilibrium Model

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  • Beatriz Gaitan
  • Richard S.J. Tal
  • I. Hakan Yetkiner

Abstract

The validity of the Hotelling’s rule, the fundamental theorem of nonrenewable resource economics, is limited by its partial equilibrium nature. One symptom of this limitation may be the disagreement between the empirical evidence, showing stable or declining resource prices, and the rule, predicting exponentially increasing prices. In this paper, we study the optimal depletion of a nonrenewable resource in a dynamic general equilibrium framework. We show that in, the long run, the price of a nonrenewable (i) is constant when the nonrenewable is essential in production, and (ii) it increases only if the rate of return of capital is larger than the capital depreciation rate and if the non-renewable is an inessential input in production. We believe that our model offers a theoretical explanation to non-growing nonrenewable prices and hence at least partially solves the paradox between the Hotelling’s rule and the empirical regularities. We also show that two factors play a crucial role in determining the long run behavior of non-renewable prices, namely the elasticity of substitution between input factors, and the long run behavior of the real interest rate. Another major achievement of this study is the full analytical solution of the model under a Cobb-Douglas technology.

Suggested Citation

  • Beatriz Gaitan & Richard S.J. Tal & I. Hakan Yetkiner, 2004. "The Hotelling's Rule Revisited in a Dynamic General Equilibrium Model," DEGIT Conference Papers c009_033, DEGIT, Dynamics, Economic Growth, and International Trade.
  • Handle: RePEc:deg:conpap:c009_033
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    File URL: http://degit.sam.sdu.dk/papers/degit_09/C009_033.pdf
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    References listed on IDEAS

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    1. Heal, Geoffrey M., 1993. "The optimal use of exhaustible resources," Handbook of Natural Resource and Energy Economics,in: A. V. Kneese† & J. L. Sweeney (ed.), Handbook of Natural Resource and Energy Economics, edition 1, volume 3, chapter 18, pages 855-880 Elsevier.
    2. Stiglitz, Joseph E, 1976. "Monopoly and the Rate of Extraction of Exhaustible Resources," American Economic Review, American Economic Association, vol. 66(4), pages 655-661, September.
    3. R. M. Solow, 1974. "Intergenerational Equity and Exhaustible Resources," Review of Economic Studies, Oxford University Press, vol. 41(5), pages 29-45.
    4. Smith, Vernon L, 1971. "Economics of Production from Natural Resources: Reply," American Economic Review, American Economic Association, vol. 61(3), pages 488-491, June.
    5. Peterson, Frederick M & Fisher, Anthony C, 1977. "The Exploitation of Extractive Resources: A Survey," Economic Journal, Royal Economic Society, vol. 87(348), pages 681-721, December.
    6. James L. Sweeney, 1977. "Economics of Depletable Resources: Market Forces and Intertemporal Bias," Review of Economic Studies, Oxford University Press, vol. 44(1), pages 125-141.
    7. Richard L. Gordon, 1967. "A Reinterpretation of the Pure Theory of Exhaustion," Journal of Political Economy, University of Chicago Press, vol. 75, pages 274-274.
    8. Jeffrey A. Krautkraemer, 1998. "Nonrenewable Resource Scarcity," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2065-2107, December.
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    Citations

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    Cited by:

    1. Katrin Rehdanz & David Maddison, 2009. "The amenity value of climate to households in Germany," Oxford Economic Papers, Oxford University Press, vol. 61(1), pages 150-167, January.
    2. Ý. Hakan Yetkiner, 2007. "Does Price of an Essential Non-Renewable Resource Necessarily Grow?," Papers of the Annual IUE-SUNY Cortland Conference in Economics,in: Proceedings of the Conference on Globalization and Its Discontents, pages 131-147 Izmir University of Economics.
    3. Tol, Richard S.J., 2007. "Europe's long-term climate target: A critical evaluation," Energy Policy, Elsevier, vol. 35(1), pages 424-432, January.
    4. Richard S.J. Tol, 2006. "Integrated Assessment Modelling," Working Papers FNU-102, Research unit Sustainability and Global Change, Hamburg University, revised May 2006.
    5. Pushpam Kumar & Uwe A. Schneider, 2008. "Greenhouse gas emission mitigation through agriculture," Working Papers FNU-155, Research unit Sustainability and Global Change, Hamburg University, revised Feb 2008.
    6. Karolina Ryszka, 2013. "Resource Extraction in a Political Economy Framework," Tinbergen Institute Discussion Papers 13-094/VIII, Tinbergen Institute.
    7. Ýstemi Berk & Ý. Hakan Yetkiner, 2013. "Energy Prices and Economic Growth: Theory and Evidence in the Long Run," Working Papers 1303, Izmir University of Economics.
    8. Yang, Honglin & Wang, Lin & Tian, Lixin, 2015. "Evolution of competition in energy alternative pathway and the influence of energy policy on economic growth," Energy, Elsevier, vol. 88(C), pages 223-233.
    9. Rehdanz, Katrin & Tol, Richard S.J. & Wetzel, Patrick, 2006. "Ocean carbon sinks and international climate policy," Energy Policy, Elsevier, vol. 34(18), pages 3516-3526, December.
    10. Hamilton, Jacqueline M., 2007. "Coastal landscape and the hedonic price of accommodation," Ecological Economics, Elsevier, vol. 62(3-4), pages 594-602, May.
    11. Berk, Istemi & Yetkiner, Hakan, 2014. "Energy prices and economic growth in the long run: Theory and evidence," Renewable and Sustainable Energy Reviews, Elsevier, vol. 36(C), pages 228-235.

    More about this item

    Keywords

    Nonrenewable resources; One-sector growth model; Hotelling’s Rule; Sustainability;

    JEL classification:

    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation
    • Q4 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy

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