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A Note on the Two-Input Arc Elasticity of Substitution

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Author Info
Andrés Vázquez (Spanish Council for Scientific Research)
Abstract

This note suggests a measure for the two-input arc elasticity of substitution that comes up naturally and preserves the salient characteristic of the Hicks-Robinson original concept. In particular, (i) it gives the average value of point substitution elasticities over the logarithmic arc of the input price ratio, and leads therefore to the exact estimation of the CES production function family, and (ii) its relationships with the discrete change in factor shares are formally parallel to those well known for the point elasticity assumption.

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File URL: http://revistas.colmex.mx/revistas/12/art_12_1190_9145.pdf
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Publisher Info
Article provided by El Colegio de México, Centro de Estudios Económicos in its journal Estudios Económicos.

Volume (Year): 23 (2008)
Issue (Month): 2 ()
Pages: 313-322
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Handle: RePEc:emx:esteco:v:23:y:2008:i:2:p:313-322

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Web page: http://www.colmex.mx/centros/cee/
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Related research
Keywords: arc elasticity; substitution elasticity;

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Find related papers by JEL classification:
D24 - Microeconomics - - Production and Organizations - - - Production; Capital and Total Factor Productivity; Capacity
D33 - Microeconomics - - Distribution - - - Factor Income Distribution

References listed on IDEAS
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  1. Andres Vazquez, 1998. "An alternative definition of the arc elasticity of demand," Journal of Economic Studies, Emerald Group Publishing, vol. 25(6), pages 553-562, October. [Downloadable!] (restricted)
  2. Bigman, David, 1978. "Derived Demand and Distributive Shares in a Multifactor Multisector Model," American Economic Review, American Economic Association, vol. 68(5), pages 923-28, December. [Downloadable!] (restricted)
  3. Samuelson, Paul A, 1973. "Relative Shares and Elasticities Simplified: Comment," American Economic Review, American Economic Association, vol. 63(4), pages 770-71, September. [Downloadable!] (restricted)
  4. M. Bronfenbrenner, 1960. "A Note on Relative Shares and the Elasticity of Substitution," Journal of Political Economy, University of Chicago Press, vol. 68, pages 284. [Downloadable!] (restricted)
  5. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
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