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

Listed author(s):
  • 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)

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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Article provided by Springer & Society for the Advancement of Economic Theory (SAET) 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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