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A Note on Allen-Uzawa Partial Elasticities of Substitution: The Case of the Translog Cost Function

  • Atanas Christev
  • Allen Featherstone

This note provides a useful property of the Allen-Uzawa partials for the translog cost function. It also suggests how the main results extend to any functional form with certain properties. The curvature of the Allen-Uzawa matrix is the same as the curvature of the Hessian matrix. Intuitively, the Allen-Uzawa partials allow for the verification of curvature properties.

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Paper provided by Department of Economics, School of Management and Languages, Heriot Watt University in its series Working Papers with number E03.

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Date of creation: 2005
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Handle: RePEc:hwe:hwecwp:2005-e03
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  1. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-38, July.
  2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
  3. Anderson, R. K. & Moroney, J. R., 1993. "Morishima elasticities of substitution with nested production functions," Economics Letters, Elsevier, vol. 42(2-3), pages 159-166.
  4. Featherstone, Allen M. & Moss, Charles B., 1993. "Measuring Economies of Scale and Scope in Agricultural Banking," Proceedings: 1993 Regional Committee NC-207, October 4-5, 1993, Chicago, Illinois 131339, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.
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