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A note on decomposing the Malmquist productivity index by means of subvector homotheticity

Author

Listed:
  • Kathy Hayes

    (Dedman College, Southern Methodist University, Dallas, TX 75275, USA)

  • Rolf Färe

    (Department of Economics and Department of Agricultural and Resource Economics, Oregon State University, Corvallis, OR 97331-3612, USA)

  • Shawna Grosskopf

    (Department of Economics, Oregon State University, Corvallis, OR 97331-3612, USA)

  • Finn R. Førsund

    (Department of Economics, University of Oslo, Oslo, NORWAY)

  • Almas Heshmati

    (Department of Statistics, Stockholm School of Economics, 11383 Stockholm, SWEDEN)

Abstract

This paper introduces a decomposition of the Malmquist productivity index into component indexes. The motivation is to derive an analogue of the decomposition of the Törnqvist index into productivity and quality change provided by Fixler and Zieschang (1992) to the Malmquist index. Since we employ no second order approximations, this decomposition requires additional structure, namely a generalized version of Shephard's (1970) inverse homotheticity, which we dub subvector homotheticity. We show that subvector homotheticity is necessary and sufficient for our decomposition.

Suggested Citation

  • Kathy Hayes & Rolf Färe & Shawna Grosskopf & Finn R. Førsund & Almas Heshmati, 2001. "A note on decomposing the Malmquist productivity index by means of subvector homotheticity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 239-245.
    • Handle: RePEc:spr:joecth:v:17:y:2001:i:1:p:239-245
    Note: Received: July 10, 1998; revised version: August 11, 1999
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    Citations

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    Cited by:

    1. Valentin Zelenyuk, 2011. "Scale Efficiency: Equivalence of Primal and Dual Measures," CEPA Working Papers Series WP092011, School of Economics, University of Queensland, Australia.
    2. Valentin Zelenyuk, 2014. "Scale efficiency and homotheticity: equivalence of primal and dual measures," Journal of Productivity Analysis, Springer, vol. 42(1), pages 15-24, August.

    More about this item

    Keywords

    Malmquist productivity; Decomposition; Subvector homotheticity.;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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