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Area of Science:

  • Economics
  • Econometrics
  • Operations Research

Background:

  • Elasticities of substitution are crucial for analyzing input mix effects in production and cost.
  • Traditional estimation relies on parametric functions, limiting flexibility.
  • Data Envelopment Analysis (DEA) offers a nonparametric alternative.

Purpose of the Study:

  • To derive elasticities of input substitution using DEA.
  • To extend DEA applications in economics and related fields.
  • To provide a parsimonious estimation method for these elasticities.

Main Methods:

  • Derivation of Hicksian and Morishima elasticities of input substitution.
  • Application of Data Envelopment Analysis (DEA) for estimation.
  • Utilizing an agricultural production example from Kansas, USA.

Main Results:

  • Successfully derived Hicksian (production and cost frontier) and Morishima (cost frontier) elasticities of input substitution via DEA.
  • Demonstrated a parsimonious method for estimating these elasticities using DEA.
  • Validated the approach with a real-world agricultural case study.

Conclusions:

  • DEA provides a viable nonparametric method for estimating elasticities of input substitution.
  • This extends the utility of DEA in economic analysis.
  • The derived method is parsimonious and applicable to technical and cost frontiers.