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Derivation of the Hicks, or direct, elasticity of substitution using the input distance function

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  • Stern, David I.

Abstract

I derive a new symmetric elasticity of complementarity from the input distance function by imposing a constant distance condition. Assuming technical efficiency and a single output, the Hicks elasticity of substitution is its reciprocal.

Suggested Citation

  • Stern, David I., 2010. "Derivation of the Hicks, or direct, elasticity of substitution using the input distance function," Economics Letters, Elsevier, vol. 108(3), pages 349-351, September.
  • Handle: RePEc:eee:ecolet:v:108:y:2010:i:3:p:349-351
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    1. Charles Blackorby & R. Robert Russell, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and its Relationship to the Hicks and Allen Elasticities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 147-158.
    2. 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 882-888, September.
    3. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    4. Kim, H Youn, 1992. "The Translog Production Function and Variable Returns to Scale," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 546-552, August.
    5. Hicks, John, 1970. "Elasticity of Substitution Again: Substitutes and Complements," Oxford Economic Papers, Oxford University Press, vol. 22(3), pages 289-296, November.
    6. Hongil Lim & C. Richard Shumway, 1997. "Technical Change and Model Specification: U.S. Agricultural Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(2), pages 543-554.
    7. 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 259-268, August.
    8. Koetse, Mark J. & de Groot, Henri L.F. & Florax, Raymond J.G.M., 2008. "Capital-energy substitution and shifts in factor demand: A meta-analysis," Energy Economics, Elsevier, vol. 30(5), pages 2236-2251, September.
    9. Kim, H Youn, 2000. "The Antonelli versus Hicks Elasticity of Complementary and Inverse Input Demand Systems," Australian Economic Papers, Wiley Blackwell, vol. 39(2), pages 245-261, June.
    10. H. Youn Kim, 2000. "The Antonelli Versus Hicks Elasticity of Complementarity and Inverse Input Demand Systems," Australian Economic Papers, Wiley Blackwell, vol. 39(2), pages 245-261, June.
    11. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    12. Y. Mundlak, 1968. "Elasticities of Substitution and the Theory of Derived Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 225-236.
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    3. David Baqaee & Emmanuel Farhi, 2018. "The Microeconomic Foundations of Aggregate Production Functions," NBER Working Papers 25293, National Bureau of Economic Research, Inc.
    4. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    5. Anthony J. Glass & Amangeldi Kenjegaliev & Karligash Kenjegalieva, 2022. "Comparisons of deposit types and implications of the financial crisis: Evidence for U.S. banks," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 641-664, January.

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