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A nearly complete test of a capital accumulating, vertically integrated, nonrenewable resource extracting theory of a competitive firm

  • Caputo, Michael R.

A new approach to testing a generalized Hotelling theory of a nonrenewable resource extracting firm is developed. In contrast to approaches extant, it (i) permits empirical testing of all the refutable implications of the theory, (ii) does not require estimates of, or data on, the shadow value of the resource stock, (iii) does not require estimation of the feedback control functions or the necessary conditions associated with the underlying optimal control problem, and (iv) treats the capital stock in a theoretically sound manner in the econometric model. Because of certain limitations in the data, most, but not all, of the refutable implications of the theory are tested using a Bayesian approach. Other limitations in the data mean that the paper is better viewed as an illustration of how one would go about rigorously testing the extended Hotelling theory, rather than as one which presents convincing empirical evidence that supports or refutes it.

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Article provided by Elsevier in its journal Resource and Energy Economics.

Volume (Year): 33 (2011)
Issue (Month): 3 (September)
Pages: 725-744

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Handle: RePEc:eee:resene:v:33:y:2011:i:3:p:725-744
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505569

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  1. Farrow, Scott, 1985. "Testing the Efficiency of Extraction from a Stock Resource," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 452-87, June.
  2. Stollery, Kenneth R., 1983. "Mineral depletion with cost as the extraction limit: A model applied to the behavior of prices in the nickel industry," Journal of Environmental Economics and Management, Elsevier, vol. 10(2), pages 151-165, June.
  3. Denise Young, 1992. "Cost Specification and Firm Behaviour in a Hotelling Model of Resource Extraction," Canadian Journal of Economics, Canadian Economics Association, vol. 25(1), pages 41-59, February.
  4. Halvorsen, Robert & Smith, Tim R, 1991. "A Test of the Theory of Exhaustible Resources," The Quarterly Journal of Economics, MIT Press, vol. 106(1), pages 123-40, February.
  5. Caputo, Michael R., 2003. "The comparative dynamics of closed-loop controls for discounted infinite horizon optimal control problems," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1335-1365, June.
  6. Caputo, Michael R., 1990. "How to do comparative dynamics on the back of an envelope in optimal control theory," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 655-683, October.
  7. John Livernois & Henry Thille & Xianqiang Zhang, 2006. "A test of the Hotelling rule using old-growth timber data," Canadian Journal of Economics, Canadian Economics Association, vol. 39(1), pages 163-186, February.
  8. Margaret E. Slade & Henry Thille, 2009. "Whither Hotelling: Tests of the Theory of Exhaustible Resources," Annual Review of Resource Economics, Annual Reviews, vol. 1(1), pages 239-259, 09.
  9. Young, Denise & Ryan, David L., 1996. "Empirical testing of a risk-adjusted Hotelling model," Resource and Energy Economics, Elsevier, vol. 18(3), pages 265-289, October.
  10. Chermak, Janie M. & Patrick, Robert H., 2002. "Comparing tests of the theory of exhaustible resources," Resource and Energy Economics, Elsevier, vol. 24(4), pages 301-325, November.
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  12. Epstein, Larry G, 1981. "Duality Theory and Functional Forms for Dynamic Factor Demands," Review of Economic Studies, Wiley Blackwell, vol. 48(1), pages 81-95, January.
  13. John Livernois, 2009. "On the Empirical Significance of the Hotelling Rule," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 3(1), pages 22-41, Winter.
  14. Cees Withagen, 1998. "Untested Hypotheses in Non-Renewable Resource Economics," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 11(3), pages 623-634, April.
  15. Margaret E. Slade & Henry Thille, 1997. "Hotelling Confronts CAPM: A Test of the Theory of Exhaustible Resources," Canadian Journal of Economics, Canadian Economics Association, vol. 30(3), pages 685-708, August.
  16. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-41, April.
  17. Halvorsen, Robert & Smith, Tim R, 1984. "On Measuring Natural Resource Scarcity," Journal of Political Economy, University of Chicago Press, vol. 92(5), pages 954-64, October.
  18. Chermak, Janie M. & Patrick, Robert H., 2001. "A Microeconometric Test of the Theory of Exhaustible Resources," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 82-103, July.
  19. Farzin, Y H, 1992. "The Time Path of Scarcity Rent in the Theory of Exhaustible Resources," Economic Journal, Royal Economic Society, vol. 102(413), pages 813-30, July.
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