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Exact And Superlative Price And Quantity Indicators

Author

Listed:
  • Diewert, W. Erwin
  • Mizobuchi, Hideyuki

Abstract

The traditional economic approach to index number theory is based on a ratio of cost functions. Diewert defined superlative price and quantity indices as observable indices that were exact for a ratio of unit cost functions or for a ratio of linearly homogeneous utility functions. The present paper looks for counterparts to his results in the difference context, for both flexible homothetic and flexible nonhomothetic preferences. The Bennet indicators of price and quantity change turn out to be superlative for the nonhomothetic case. The underlying preferences are of the translation-homothetic form discussed by Balk, Chambers, Dickenson, Färe, and Grosskopf.

Suggested Citation

  • Diewert, W. Erwin & Mizobuchi, Hideyuki, 2009. "Exact And Superlative Price And Quantity Indicators," Macroeconomic Dynamics, Cambridge University Press, vol. 13(S2), pages 335-380, September.
    • Handle: RePEc:cup:macdyn:v:13:y:2009:i:s2:p:335-380_09
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    Cited by:

    1. Barnett, William A. & Erwin Diewert, W. & Zellner, Arnold, 2011. "Introduction to measurement with theory," Journal of Econometrics, Elsevier, vol. 161(1), pages 1-5, March.
    2. W. Diewert, 2015. "Decompositions of productivity growth into sectoral effects," Journal of Productivity Analysis, Springer, vol. 43(3), pages 367-387, June.
    3. W. Erwin Diewert & Robert C. Feenstra, 2021. "Estimating the Benefits of New Products," NBER Chapters, in: Big Data for Twenty-First-Century Economic Statistics, pages 437-473, National Bureau of Economic Research, Inc.
    4. W. Erwin Diewert & Kevin J. Fox & Paul Schreyer, 2022. "Experimental Economics and the New Commodities Problem," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(4), pages 895-905, December.
    5. Diewert, W. Erwin & Fox, Kevin J., 2016. "Kevin J. Fox Interview of W. Erwin Diewert," Microeconomics.ca working papers erwin_diewert-2016-6, Vancouver School of Economics, revised 02 Jun 2016.
    6. Diewert, Erwin & Feenstra, Robert, 2019. "Estimating the Benefits of New Products: Some Approximations," Microeconomics.ca working papers erwin_diewert-2019-3, Vancouver School of Economics, revised 13 Mar 2019.
    7. Erik Brynjolfsson & Avinash Collis & W. Erwin Diewert & Felix Eggers & Kevin J. Fox, 2020. "Measuring the Impact of Free Goods on Real Household Consumption," AEA Papers and Proceedings, American Economic Association, vol. 110, pages 25-30, May.
    8. Hideyuki Mizobuchi, 2014. "Returns to scale effect in labour productivity growth," Journal of Productivity Analysis, Springer, vol. 42(3), pages 293-304, December.
    9. Robert J. Hill & Alice O. Nakamura, 2010. "Improving Inflation And Related Performance Measures For Nations: An Introduction," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 1-10, June.

    More about this item

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D60 - Microeconomics - - Welfare Economics - - - General

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