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Non-Linear Pricing and Price Indexes: Evidence and Implications from Scanner Data

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  • Kevin J. Fox
  • Daniel Melser

Abstract

type="main"> Non-linear pricing, the fact that prices do not necessarily change in proportion to size, is a ubiquitous phenomenon. However, it has been neither particularly well understood nor well measured. Non-linear pricing is of practical importance for statistical agencies who, in constructing price indexes, are often required to compare the relative price of a product-variety of two different sizes. It is usually assumed that prices change one-for-one with package and pack size (e.g. a 1-liter cola costs half as much as a 2-liter bottle). We question the wisdom of such an assumption and outline a model to flexibly estimate the price-size function. Applying our model to a large U.S. scanner dataset for carbonated beverages, at a disaggregated level, we find very significant discounts for larger-sized products. This highlights the need to pursue methods such as those advocated in this paper.

Suggested Citation

  • Kevin J. Fox & Daniel Melser, 2014. "Non-Linear Pricing and Price Indexes: Evidence and Implications from Scanner Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(2), pages 261-278, June.
    • Handle: RePEc:bla:revinw:v:60:y:2014:i:2:p:261-278
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    File URL: http://hdl.handle.net/10.1111/roiw.12000
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    1. Mark Bils, 2009. "Do Higher Prices for New Goods Reflect Quality Growth or Inflation?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(2), pages 637-675.
    2. Hong, Pilky & McAfee, R. Preston & Nayyar, Ashish, 2002. "Equilibrium Price Dispersion with Consumer Inventories," Journal of Economic Theory, Elsevier, vol. 105(2), pages 503-517, August.
    3. Mr. Paul A Armknecht Jr. & Fenella Maitland-Smith, 1999. "Price Imputation and Other Techniques for Dealing with Missing Observations, Seasonality and Quality Change in Price Indices," IMF Working Papers 1999/078, International Monetary Fund.
    4. Brian McManus, 2007. "Nonlinear pricing in an oligopoly market: the case of specialty coffee," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 512-532, June.
    5. Ariel Pakes, 2003. "A Reconsideration of Hedonic Price Indexes with an Application to PC's," American Economic Review, American Economic Association, vol. 93(5), pages 1578-1596, December.
    6. Jerry Hausman, 2003. "Sources of Bias and Solutions to Bias in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 23-44, Winter.
    7. John S. Greenlees & Robert McClelland, 2011. "Does Quality Adjustment Matter for Technologically Stable Products? An Application to the CPI for Food," American Economic Review, American Economic Association, vol. 101(3), pages 200-205, May.
    8. Hwang, M. & Bronnenberg, B.J. & Thomadsen, R., 2010. "An empirical analysis of assortment similarities across U.S. supermarkets," Other publications TiSEM adc990b3-1d5b-4fab-8679-a, Tilburg University, School of Economics and Management.
    9. Cohen, Andrew, 2008. "Package size and price discrimination in the paper towel market," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 502-516, March.
    10. Kenneth W. Clements, 2006. "Pricing and Packaging: The Case of Marijuana," The Journal of Business, University of Chicago Press, vol. 79(4), pages 2019-2044, July.
    11. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    12. Silver, Mick & Heravi, Saeed, 2005. "A Failure in the Measurement of Inflation: Results From a Hedonic and Matched Experiment Using Scanner Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 269-281, July.
    13. W. Erwin Diewert, 1998. "Index Number Issues in the Consumer Price Index," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 47-58, Winter.
    14. Minha Hwang & Bart J. Bronnenberg & Raphael Thomadsen, 2010. "An Empirical Analysis of Assortment Similarities Across U.S. Supermarkets," Marketing Science, INFORMS, vol. 29(5), pages 858-879, 09-10.
    15. Lal, Rajiv & Matutes, Carmen, 1994. "Retail Pricing and Advertising Strategies," The Journal of Business, University of Chicago Press, vol. 67(3), pages 345-370, July.
    16. Huang, Rui & Lopez, Rigoberto A., 2009. "Are you are what you eat? Overweight Status and Soft Drink Choices," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49480, Agricultural and Applied Economics Association.
    17. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    18. Jack Triplett, 2004. "Handbook on Hedonic Indexes and Quality Adjustments in Price Indexes: Special Application to Information Technology Products," OECD Science, Technology and Industry Working Papers 2004/9, OECD Publishing.
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    Cited by:

    1. Dawes, John, 2020. "The Natural Monopoly effect in brand purchasing: Do big brands really appeal to lighter category buyers?," Australasian marketing journal, Elsevier, vol. 28(2), pages 90-99.
    2. Daniel Melser & Iqbal A. Syed, 2016. "Life Cycle Price Trends and Product Replacement: Implications for the Measurement of Inflation," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 509-533, September.
    3. Fox, Kevin J. & Syed, Iqbal A., 2016. "Price discounts and the measurement of inflation," Journal of Econometrics, Elsevier, vol. 191(2), pages 398-406.
    4. Christopher J. Erceg & Andrew T. Levin, 2014. "Labor Force Participation and Monetary Policy in the Wake of the Great Recession," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 46(S2), pages 3-49, October.
    5. repec:grz:wpaper:2016-13 is not listed on IDEAS
    6. Jan de Haan & Rens Hendriks & Michael Scholz, 2021. "Price Measurement Using Scanner Data: Time‐Product Dummy Versus Time Dummy Hedonic Indexes," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(2), pages 394-417, June.
    7. Satoshi Imai & Tsutomu Watanabe, 2013. "Product Downsizing and Hidden Price Increases: Evidence from Japan's Deflationary Period," UTokyo Price Project Working Paper Series 008, University of Tokyo, Graduate School of Economics, revised Jun 2013.
    8. Satoshi Imai & Tsutomu Watanabe, 2014. "Product Downsizing and Hidden Price Increases: Evidence from Japan's Deflationary Period," Asian Economic Policy Review, Japan Center for Economic Research, vol. 9(1), pages 69-89, January.
    9. Kevin J, Fox. & Iqbal A. Syed, 2016. "Price Discounts and the Measurement of Inflation: Further Results," Discussion Papers 2016-05, School of Economics, The University of New South Wales.
    10. Satoshi Imai & Tsutomu Watanabe, 2013. "Product Downsizing and Hidden Price Increases: Evidence from Japan's Deflationary Period," CARF F-Series CARF-F-320, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

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