A note on decomposing the Malmquist productivity index by means of subvector homotheticity |
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| Authors: | Rolf Färe Finn R Førsund Shawna Grosskopf Kathy Hayes Almas Heshmati |
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| Institution: | (1) Department of Economics and Department of Agricultural and Resource Economics, Oregon State University, Corvallis, OR 97331-3612, USA (e-mail: rolf.fare@orst.edu) , US;(2) Department of Economics, University of Oslo, Oslo, NORWAY , NO;(3) Department of Economics, Oregon State University, Corvallis, OR 97331-3612, USA , US;(4) Dedman College, Southern Methodist University, Dallas, TX 75275, USA , US;(5) Department of Statistics, Stockholm School of Economics, 11383 Stockholm, SWEDEN , SE |
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| Abstract: | Summary. 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 T?rnqvist 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.
Received: July 10, 1998; revised version: August 11, 1999 |
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| Keywords: | and Phrases:Malmquist productivity Decomposition Subvector homotheticity |
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