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Fellowís Opinion Article: Tastes and Technology: Curvature is not Sufficient for Regularity

Author

Listed:
  • William Barnett

    (Department of Economics, University of Kansas)

Abstract
In specifications of tastes and technology, econometricians often impose curvature globally, but monotonicity only locally or not at all. In fact monotonicity rarely is even mentioned in that literature. But without satisfaction of both curvature and monotonicity, the second order conditions for optimizing behavior fail, and duality theory fails. The resulting first order conditions, demand functions, and supply functions become invalid. Although unconstrained specifications of technology are more likely to produce violations of curvature than monotonicity, I believe that induced violations of monotonicity become common, when curvature alone is imposed. Hence the now common practice of equating regularity with curvature is not justified.

Suggested Citation

  • William Barnett, 2012. "Fellowís Opinion Article: Tastes and Technology: Curvature is not Sufficient for Regularity," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201232, University of Kansas, Department of Economics, revised Sep 2012.
    • Handle: RePEc:kan:wpaper:201232
    as

    Download full text from publisher

    File URL: http://www2.ku.edu/~kuwpaper/2009Papers/201232.pdf
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    References listed on IDEAS

    as
    1. William A. Barnett & Michael Wolfe, 2004. "Semi-nonparametric Bayesian Estimation of the Asymptotically Ideal Production Model1," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 303-349, Emerald Group Publishing Limited.
    2. William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 2000. "Estimating Policy-Invariant Deep Parameters in the Financial Sector When Risk and Growth Matter," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 530-557, Emerald Group Publishing Limited.
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    More about this item

    Keywords

    technology; regularity; curvature; production; flexible;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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