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Factor intensity and order of resource extraction

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  • Freni, Giuseppe

Abstract

This paper characterizes the optimal time paths of extraction of several nonrenewable resource deposits with different costs of extraction when the extracted resource can be converted into productive capital and the extraction process, as well as the production of the substitute, requires two primary factors of production. Under a technological assumption granting that the time paths of primary factor prices are monotonic, we show that, for each pair (lower cost/higher cost) of deposits, an intensity condition is necessary in order to have discontinuous extraction of the lower cost deposit. We also show that the same condition is sufficient for discontinuous extraction of the lower cost deposit, provided the stock of the lower cost deposit is sufficiently large and the stocks of all other deposits are sufficiently small.

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File URL: http://mpra.ub.uni-muenchen.de/18790/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 18790.

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Date of creation: 20 Nov 2009
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Handle: RePEc:pra:mprapa:18790

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Keywords: Exhaustible resources; Optimal control; Order of extraction;

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  1. Im, Eric Iksoon & Chakravorty, Ujjayant & Roumasset, James, 2006. "Discontinuous extraction of a nonrenewable resource," Economics Letters, Elsevier, vol. 90(1), pages 6-11, January.
  2. Kemp, Murray C & Long, Ngo Van, 1980. "On Two Folk Theorems Concerning the Extraction of Exhaustible Resources," Econometrica, Econometric Society, vol. 48(3), pages 663-73, April.
  3. Sergio T. Rebelo, 1990. "Long Run Policy Analysis and Long Run Growth," NBER Working Papers 3325, National Bureau of Economic Research, Inc.
  4. Freni, Giuseppe & Gozzi, Fausto & Pignotti, Cristina, 2008. "Optimal strategies in linear multisector models: Value function and optimality conditions," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 55-86, January.
  5. Lewis, Tracy R, 1982. "Sufficient Conditions for Extracting Least Cost Resource First," Econometrica, Econometric Society, vol. 50(4), pages 1081-83, July.
  6. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-38, October.
  7. Gerard Gaudet & Michel Moreaux & Stephen W. Salant, 2001. "Intertemporal Depletion of Resource Sites by Spatially Distributed Users," American Economic Review, American Economic Association, vol. 91(4), pages 1149-1159, September.
  8. Amigues, Jean-Pierre & Favard, Pascal & Gaudet, Gerard & Moreaux, Michel, 1998. "On the Optimal Order of Natural Resource Use When the Capacity of the Inexhaustible Substitute Is Limited," Journal of Economic Theory, Elsevier, vol. 80(1), pages 153-170, May.
  9. Favard, Pascal, 2002. "Does productive capital affect the order of resource exploitation?," Journal of Economic Dynamics and Control, Elsevier, vol. 26(6), pages 911-918, June.
  10. CHAKRAVORTY Ujjayant & MOREAUX Michel & TIDBALL Mabel, 2006. "Ordering the Extraction of Polluting Nonrenewable Resources," LERNA Working Papers 06.19.212, LERNA, University of Toulouse.
  11. Robert M. Solow & Frederic Y. Wan, 1976. "Extraction Costs in the Theory of Exhaustible Resources," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 359-370, Autumn.
  12. Holland, Stephen P., 2003. "Extraction capacity and the optimal order of extraction," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 569-588, May.
  13. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2004. "Existence of Optimal Strategies in linear Multisector Models," Discussion Papers 2004/29, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
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