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Multilateral productivity comparisons and homotheticity

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  • Antonio Peyrache

Abstract

In this paper it is shown that a well known procedure (GEKS) of transitivizing a bilateral system of productivity comparisons is implicitly a way of imposing a homothetic structure onto the data. The main implication of this result is that deviations between the bilateral and the multilateral (GEKS) indexes can be interpreted as a measure of local deviation from the homothetic assumption. This establishes an additional link between homotheticity and transitivity. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Antonio Peyrache, 2013. "Multilateral productivity comparisons and homotheticity," Journal of Productivity Analysis, Springer, vol. 40(1), pages 57-65, August.
    • Handle: RePEc:kap:jproda:v:40:y:2013:i:1:p:57-65
    DOI: 10.1007/s11123-012-0298-7
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    References listed on IDEAS

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    1. Balk,Bert M., 2012. "Price and Quantity Index Numbers," Cambridge Books, Cambridge University Press, number 9781107404960.
    2. Primont, Daniel & Primont, Diane, 1994. "Homothetic non-parametric production models," Economics Letters, Elsevier, vol. 45(2), pages 191-195, June.
    3. Alexandra Daskovska & Léopold Simar & Sébastien Bellegem, 2010. "Forecasting the Malmquist productivity index," Journal of Productivity Analysis, Springer, vol. 33(2), pages 97-107, April.
    4. Matthijs van Veelen, 2002. "An Impossibility Theorem Concerning Multilateral International Comparison of Volumes," Econometrica, Econometric Society, vol. 70(1), pages 369-375, January.
    5. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    6. Kevin J. Fox, 2003. "An Economic Justification for the EKS Multilateral Index," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 49(3), pages 407-413, September.
    7. Fare, Rolf & Grosskopf, Shawna & Roos, Pontus, 1996. "On two definitions of productivity," Economics Letters, Elsevier, vol. 53(3), pages 269-274, December.
    8. Bjurek, Hans, 1996. " The Malmquist Total Factor Productivity Index," Scandinavian Journal of Economics, Wiley Blackwell, vol. 98(2), pages 303-313, June.
    9. van Veelen, Matthijs, 2009. "The apples and oranges theorem for price indices," Economics Letters, Elsevier, vol. 103(1), pages 12-14, April.
    10. D. S.P. Rao (ed.), 2009. "Purchasing Power Parities of Currencies," Books, Edward Elgar Publishing, number 3725.
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    Cited by:

    1. 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.
    2. Rolf Färe & Valentin Zelenyuk, 2021. "On aggregation of multi-factor productivity indexes," Journal of Productivity Analysis, Springer, vol. 55(2), pages 107-133, April.
    3. Hideyuki Mizobuchi, 2017. "Productivity indexes under Hicks neutral technical change," Journal of Productivity Analysis, Springer, vol. 48(1), pages 63-68, August.
    4. Rolf Färe & Valentin Zelenyuk, 2019. "On the Aggregation of the Paasche and Laspeyres Malmquist Indexes," CEPA Working Papers Series WP122019, School of Economics, University of Queensland, Australia.
    5. Rolf Färe & Valentin Zelenyuk, 2020. "POn Fisher Aggregation of Multi-factor Productivity Indexes," CEPA Working Papers Series WP082020, School of Economics, University of Queensland, Australia.

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    More about this item

    Keywords

    Multilateral comparisons; Productivity; EKS; Homotheticity; Transitivity; Hicks neutrality; D24;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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