The Hotelling's Rule Revisited in a Dynamic General Equilibrium Model
The validity of the Hotelling?s rule, the fundamental theorem of nonrenewable resource eco- nomics, 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.
|Date of creation:||Jun 2004|
|Date of revision:||Jun 2004|
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- 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
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"Intergenerational Equity and Exhaustible Resources,"
Review of Economic Studies,
Oxford University Press, vol. 41(5), pages 29-45.
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- Smith, Vernon L, 1971. "Economics of Production from Natural Resources: Reply," American Economic Review, American Economic Association, vol. 61(3), pages 488-91, June.
- 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.
- Jeffrey A. Krautkraemer, 1998. "Nonrenewable Resource Scarcity," Journal of Economic Literature, American Economic Association, vol. 36(4), pages 2065-2107, December.
- 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.
- Stiglitz, Joseph E, 1976. "Monopoly and the Rate of Extraction of Exhaustible Resources," American Economic Review, American Economic Association, vol. 66(4), pages 655-61, September.
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