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Modeling Energy and Non-energy Substitution – A Survey of Elasticities

  • Manuel Frondel

    ()

Estimating the degree of substitution between energy and non-energy inputs is key for any evaluation of environmental and energy policies. Yet, given the large variety of substitution elasticities, the central question arises as to which measure would be most appropriate. Apparently, ALLEN’s elasticities of substitution have been the most-used measures in applied production analysis. In line with Frondel (2004), this paper argues that cross-price elasticities are preferable for many practical purposes. This conclusion is based on a survey of classical substitution measures, such as those from ALLEN, MORISHIMA, and MCFADDEN. The survey also highlights the fact that cross-price elasticities are their essential ingredients.

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Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0256.

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Length: 14 pages
Date of creation: Apr 2011
Date of revision:
Handle: RePEc:rwi:repape:0256
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  1. Manuel Frondel & Christoph M. Schmidt, 2006. "The Empirical Assessment of Technology Differences: Comparing the Comparable," The Review of Economics and Statistics, MIT Press, vol. 88(1), pages 186-192, February.
  2. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-68, August.
  3. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," Review of Economic Studies, Oxford University Press, vol. 29(4), pages 291-299.
  4. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
  5. Frondel, Manuel, 2004. "Empirical assessment of energy-price policies: the case for cross-price elasticities," Energy Policy, Elsevier, vol. 32(8), pages 989-1000, June.
  6. Y. Mundlak, 1968. "Elasticities of Substitution and the Theory of Derived Demand," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 225-236.
  7. Frondel, Manuel & Schmidt, Christoph M., 2003. "Rejecting capital-skill complementarity at all costs," Economics Letters, Elsevier, vol. 80(1), pages 15-21, July.
  8. Kintis, Andreas A. & Panas, Epaminondas E., 1989. "The capital--energy controversy: further results," Energy Economics, Elsevier, vol. 11(3), pages 201-212, July.
  9. Manuel Frondel & Christoph M. Schmidt, 2002. "The Capital-Energy Controversy: An Artifact of Cost Shares?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 53-79.
  10. Griffin, James M & Gregory, Paul R, 1976. "An Intercountry Translog Model of Energy Substitution Responses," American Economic Review, American Economic Association, vol. 66(5), pages 845-57, December.
  11. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-88, September.
  12. Saunders, Harry D., 2008. "Fuel conserving (and using) production functions," Energy Economics, Elsevier, vol. 30(5), pages 2184-2235, September.
  13. Frondel, Manuel & Schmidt, Christoph M., 2004. "Facing the truth about separability: nothing works without energy," Ecological Economics, Elsevier, vol. 51(3-4), pages 217-223, December.
  14. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," Review of Economic Studies, Oxford University Press, vol. 30(2), pages 73-83.
  15. Harty D. Saunders, 1992. "The Khazzoom-Brookes Postulate and Neoclassical Growth," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 131-148.
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