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Nonparametric Analysis of Technology and Productivity under Non-Convexity

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  • Chavas, Jean-Paul
  • Kim, Kwansoo

Abstract

This paper investigates the nonparametric analysis of technology under non-convexity. The analysis extends two approaches now commonly used in efficiency and productivity analysis: Data Envelopment Analysis (DEA) where convexity is imposed; and Free Disposal Hull (FDH) models. We argue that, while the FDH model allows for non-convexity, its representation of non-convexity is too extreme. We propose a new nonparametric model that relies on a neighborhood-based technology assessment which allows for less extreme forms of non-convexity. The distinctive feature of our approach is that it allows for non-convexity to arise in any part of the feasible set. We show how it can be implemented empirically by solving simple linear programming problems. And we illustrate the usefulness of the approach in an empirical application to the analysis of technical and scale efficiency on Korean farms.

Suggested Citation

  • Chavas, Jean-Paul & Kim, Kwansoo, 2013. "Nonparametric Analysis of Technology and Productivity under Non-Convexity," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149684, Agricultural and Applied Economics Association.
    • Handle: RePEc:ags:aaea13:149684
    DOI: 10.22004/ag.econ.149684
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    References listed on IDEAS

    as
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    Keywords

    Farm Management; Production Economics; Productivity Analysis; Research Methods/ Statistical Methods;
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