Direct and dual elasticities of substitution under non-homogenous technology and nonparametric distribution Kusum Mundra
Article information:To cite this document: Kusum Mundra , (2013),"Direct and dual elasticities of substitution under non-homogenous technology and nonparametric distribution", Indian Growth and Development Review, Vol. 6 Iss 2 pp. 260 -288 Permanent link to this document: http://dx.Access to this document was granted through an Emerald subscription provided by emerald-srm:448207 []
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AbstractPurpose -This paper revisits the derivation and properties of the Allen-Uzawa and Morishima elasticities. Using a Swiss dataset, this paper empirically estimates various elasticities both in a dual and primal framework using a production theory open economy model and tests for linear homogenous technology. In addition to reporting elasticity at the mean, the standard practice in the literature, this paper also calculates nonparametric distribution of various elasticities. The paper aims to discuss these issues. Design/methodology/approach -To assess the effect of price change on input, the paper estimates a translog cost function and to assess the effect of quantity change on price, the paper estimates the translog distance function using the data on Swiss economy. The paper estimates Allen-Uzawa and Morishima elasticity both under homogenous and non-homogenous technology using the Swiss dataset of one aggregate gross output and four inputs (resident labor, non-resident labor, imports, and capital) over 1950-1986. Elasticities are reported and compared at the mean as well as explored by looking at the range and nonparametric distribution. Findings -This paper shows that constant returns to scale are easily rejected in this dataset and that the elasticities, both qualitatively and quantitatively, are very different under homogenous and non-homogenous technology. These elasticities can switch from complements to substitutes or vice versa when one moves away from the mean of the sample. The equality of the nonparametric elasticity distributions under homogenous vs non-homogenous technology is rejected in all cases except one. Originality/value -This paper gives a clear der...