Stern, David I. (2008): Derivation of the Hicks Elasticity of Substitution from the Input Distance Function.

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Abstract
The Hicks or direct elasticity of substitution is traditionally derived from the production function. This paper exploits duality theory to present a more general derivation from the input distance function, which is exactly dual to the Shadow Elasticity of Substitution. The new elasticity is more general than the traditional one as it can handle situations of technical inefficiency, nonseparability between inputs and outputs, and multiple outputs, but is equal to the traditional elasticity under the classical conditions. The new derivation is related to the Morishima and Antonelli Elasticities of Complementarity in the same way that the Shadow Elasticity of Substitution is related to the Morishima and AllenUzawa Elasticities of Substitution. Furthermore, distance (technical efficiency) is not constant for the Morishima and Antonelli Elasticities of Complementarity
Item Type:  MPRA Paper 

Original Title:  Derivation of the Hicks Elasticity of Substitution from the Input Distance Function 
Language:  English 
Keywords:  Microeconomics; production; substitution 
Subjects:  D  Microeconomics > D2  Production and Organizations > D21  Firm Behavior: Theory B  History of Economic Thought, Methodology, and Heterodox Approaches > B2  History of Economic Thought since 1925 > B21  Microeconomics D  Microeconomics > D2  Production and Organizations > D24  Production ; Cost ; Capital ; Capital, Total Factor, and Multifactor Productivity ; Capacity 
Item ID:  12414 
Depositing User:  David I. Stern 
Date Deposited:  01. Jan 2009 09:22 
Last Modified:  24. Sep 2015 18:43 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/12414 