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

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Author Info

  • 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.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 17 (2001)
Issue (Month): 1 ()
Pages: 239-245

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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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Related research

Keywords: Malmquist productivity; Decomposition; Subvector homotheticity.;

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