IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/26646.html
   My bibliography  Save this paper

Quantum Prices

Author

Listed:
  • Diego Aparicio
  • Roberto Rigobon

Abstract

Online data was collected for 350,000 products from over 65 fashion retailers in the U.S. and the U.K. Many retailers practice an extreme form of stickiness described as quantum prices: a large number of differentiated products are priced using few sparse prices, with price changes occurring rarely and in large magnitudes. Quantum prices exist within categories (similar products) and across product introductions (over time). Most surprisingly, it also occurs across categories (very different products). Normalized measures indicate substantial price clustering beyond the role of popular prices, assortment size, or digit endings. Quantum prices imply frictions in lumpy price adjustments through product mix, inflation measurement, and in the law-of-one-price.

Suggested Citation

  • Diego Aparicio & Roberto Rigobon, 2020. "Quantum Prices," NBER Working Papers 26646, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:26646
    Note: IFM ME
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w26646.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(1), pages 1-43.
    2. N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 529-538.
    3. Levy, Daniel & Bergen, Mark & Dutta, Shantanu & Venable, Robert, 1997. "The Magnitude of Menu Costs: Direct Evidence from Large U.S. Supermarket Chains," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 112(3), pages 791-824.
    4. Levy, Daniel & Lee, Dongwon & Chen, Haipeng (Allan) & Kauffman, Robert J. & Bergen, Mark, 2011. "Price Points and Price Rigidity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 93(4), pages 1417-1431.
    5. Yuriy Gorodnichenko & Viacheslav Sheremirov & Oleksandr Talavera, 2018. "Price Setting in Online Markets: Does IT Click?," Journal of the European Economic Association, European Economic Association, vol. 16(6), pages 1764-1811.
    6. Nicholas Bloom & John Van Reenen, 2007. "Measuring and Explaining Management Practices Across Firms and Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1351-1408.
    7. Kehoe, Patrick & Midrigan, Virgiliu, 2015. "Prices are sticky after all," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 35-53.
    8. Sara Ellison & Christopher M. Snyder & Hongkai Zhang, 2016. "Costs of Managerial Attention and Activity as a Source of Sticky Prices: Structural Estimates from an Online Market," CESifo Working Paper Series 6285, CESifo.
    9. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    10. Yuriy Gorodnichenko & Oleksandr Talavera, 2017. "Price Setting in Online Markets: Basic Facts, International Comparisons, and Cross-Border Integration," American Economic Review, American Economic Association, vol. 107(1), pages 249-282, January.
    11. Alberto Cavallo, 2018. "Scraped Data and Sticky Prices," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 105-119, March.
    12. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    13. Cosmin Ilut & Rosen Valchev & Nicolas Vincent, 2020. "Paralyzed by Fear: Rigid and Discrete Pricing Under Demand Uncertainty," Econometrica, Econometric Society, vol. 88(5), pages 1899-1938, September.
    14. Bhattarai, Saroj & Schoenle, Raphael, 2014. "Multiproduct firms and price-setting: Theory and evidence from U.S. producer prices," Journal of Monetary Economics, Elsevier, vol. 66(C), pages 178-192.
    15. Mikhail Golosov & Robert E. Lucas Jr., 2007. "Menu Costs and Phillips Curves," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 171-199.
    16. Richard H. Thaler, 2008. "Mental Accounting and Consumer Choice," Marketing Science, INFORMS, vol. 27(1), pages 15-25, 01-02.
    17. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    18. Peter J. Klenow & Oleksiy Kryvtsov, 2008. "State-Dependent or Time-Dependent Pricing: Does it Matter for Recent U.S. Inflation?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 863-904.
    19. Ellison, Glenn & Glaeser, Edward L, 1997. "Geographic Concentration in U.S. Manufacturing Industries: A Dartboard Approach," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 889-927, October.
    20. Anil K Kashyap, 1995. "Sticky Prices: New Evidence from Retail Catalogs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 245-274.
    21. Drazen Prelec & George Loewenstein, 1998. "The Red and the Black: Mental Accounting of Savings and Debt," Marketing Science, INFORMS, vol. 17(1), pages 4-28.
    22. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    23. Chaim Fershtman & Ehud Kalai, 1993. "Complexity Considerations and Market Behavior," RAND Journal of Economics, The RAND Corporation, vol. 24(2), pages 224-235, Summer.
    24. Michele Piccione & Ran Spiegler, 2012. "Price Competition Under Limited Comparability," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(1), pages 97-135.
    25. Chen, Haipeng (Allan) & Levy, Daniel & Snir, Avichai, 2017. "End of 9-Endings and Price Perceptions," MPRA Paper 76342, University Library of Munich, Germany.
    26. Gérard P. Cachon & Robert Swinney, 2011. "The Value of Fast Fashion: Quick Response, Enhanced Design, and Strategic Consumer Behavior," Management Science, INFORMS, vol. 57(4), pages 778-795, April.
    27. Klenow, Peter J. & Malin, Benjamin A., 2010. "Microeconomic Evidence on Price-Setting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 6, pages 231-284, Elsevier.
    28. Glenn Ellison & Edward L. Glaeser & William R. Kerr, 2010. "What Causes Industry Agglomeration? Evidence from Coagglomeration Patterns," American Economic Review, American Economic Association, vol. 100(3), pages 1195-1213, June.
    29. Gurumurthy Kalyanaram & Russell S. Winer, 1995. "Empirical Generalizations from Reference Price Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages 161-169.
    30. Phillip Leslie, 2004. "Price Discrimination in Broadway Theater," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 520-541, Autumn.
    31. Birger Wernerfelt, 1994. "Selling Formats for Search Goods," Marketing Science, INFORMS, vol. 13(3), pages 298-309.
    32. Snir, Avichai & Levy, Daniel & Chen, Haipeng (Allan), 2017. "End of 9-endings, price recall, and price perceptions," Economics Letters, Elsevier, vol. 155(C), pages 157-163.
    33. Schindler, Robert M & Kirby, Patrick N, 1997. "Patterns of Rightmost Digits Used in Advertised Prices: Implications for Nine-Ending Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(2), pages 192-201, September.
    34. Manoj Thomas & Vicki Morwitz, 2005. "Penny Wise and Pound Foolish: The Left-Digit Effect in Price Cognition," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 32(1), pages 54-64, June.
    35. Duncan Simester, 1995. "Signalling Price Image Using Advertised Prices," Marketing Science, INFORMS, vol. 14(2), pages 166-188.
    36. Ater, Itai & Gerlitz, Omri, 2017. "Round prices and price rigidity: Evidence from outlawing odd prices," Journal of Economic Behavior & Organization, Elsevier, vol. 144(C), pages 188-203.
    37. Mark Stiving, 2000. "Price-Endings When Prices Signal Quality," Management Science, INFORMS, vol. 46(12), pages 1617-1629, December.
    38. Benjamin Scheibehenne & Rainer Greifeneder & Peter M. Todd, 2010. "Can There Ever Be Too Many Options? A Meta-Analytic Review of Choice Overload," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 37(3), pages 409-425, October.
    39. Knotek II, Edward S., 2008. "Convenient prices, currency, and nominal rigidity: Theory with evidence from newspaper prices," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1303-1316, October.
    40. Stiving, Mark & Winer, Russell S, 1997. "An Empirical Analysis of Price Endings with Scanner Data," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(1), pages 57-67, June.
    41. Kfir Eliaz & Ran Spiegler, 2011. "Consideration Sets and Competitive Marketing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 235-262.
    42. Robert Tibshirani & Guenther Walther & Trevor Hastie, 2001. "Estimating the number of clusters in a data set via the gap statistic," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 411-423.
    43. Michaela Draganska & Dipak C. Jain, 2006. "Consumer Preferences and Product-Line Pricing Strategies: An Empirical Analysis," Marketing Science, INFORMS, vol. 25(2), pages 164-174, 03-04.
    44. Stefano DellaVigna & Matthew Gentzkow, 2019. "Uniform Pricing in U.S. Retail Chains," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(4), pages 2011-2084.
    45. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1415-1464.
    46. Alberto Cavallo & Brent Neiman & Roberto Rigobon, 2014. "Currency Unions, Product Introductions, and the Real Exchange Rate," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(2), pages 529-595.
    47. Felipe Caro & Jérémie Gallien, 2007. "Dynamic Assortment with Demand Learning for Seasonal Consumer Goods," Management Science, INFORMS, vol. 53(2), pages 276-292, February.
    48. Alberto Cavallo & Roberto Rigobon, 2016. "The Billion Prices Project: Using Online Prices for Measurement and Research," Journal of Economic Perspectives, American Economic Association, vol. 30(2), pages 151-178, Spring.
    49. 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.
    50. Anil Kaul & Dick R. Wittink, 1995. "Empirical Generalizations About the Impact of Advertising on Price Sensitivity and Price," Marketing Science, INFORMS, vol. 14(3_supplem), pages 151-160.
    51. Hauser, John R & Wernerfelt, Birger, 1990. "An Evaluation Cost Model of Consideration Sets," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 16(4), pages 393-408, March.
    52. Eric T. Anderson & Duncan I. Simester, 1998. "The Role of Sale Signs," Marketing Science, INFORMS, vol. 17(2), pages 139-155.
    53. Bagwell, Kyle, 2007. "The Economic Analysis of Advertising," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 28, pages 1701-1844, Elsevier.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Aparicio, Diego & Rigobon, Roberto, 2023. "Quantum prices," Journal of International Economics, Elsevier, vol. 143(C).
    2. Levy, Daniel & Snir, Avichai & Gotler, Alex & Chen, Haipeng (Allan), 2020. "Not all price endings are created equal: Price points and asymmetric price rigidity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, issue forthcomi.
    3. Ray, Sourav & Snir, Avichai & Levy, Daniel, 2023. "Retail Pricing Format and Rigidity of Regular Prices," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, pages 1-1.
    4. Snir, Avichai & (Allan) Chen, Haipeng & Levy, Daniel, 2022. "Zero-ending prices, cognitive convenience, and price rigidity," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 519-542.
    5. Knotek, Edward S., 2024. "The roles of price points and menu costs in price rigidity," Journal of Monetary Economics, Elsevier, vol. 145(C).
    6. Ater, Itai & Gerlitz, Omri, 2017. "Round prices and price rigidity: Evidence from outlawing odd prices," Journal of Economic Behavior & Organization, Elsevier, vol. 144(C), pages 188-203.
    7. Hahn, Volker & Marenčák, Michal, 2020. "Price points and price dynamics," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 127-144.
    8. Snir, Avichai & Levy, Daniel, 2021. "If You Think 9-Ending Prices Are Low, Think Again," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 6(1 (Forthc).
    9. Daniel Levy & Dongwon Lee & Haipeng (Allan) Chen & Robert J. Kauffman & Mark Bergen, 2011. "Price Points and Price Rigidity," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1417-1431, November.
    10. Diego Aparicio & Duncan Simester, 2022. "Price Frictions and the Success of New Products," Marketing Science, INFORMS, vol. 41(6), pages 1057-1073, November.
    11. Doron Sayag & Avichai Snir & Daniel Levy, 2024. "Small Price Changes, Sales Volume, and Menu Cost," Papers 2403.07166, arXiv.org.
    12. Barbara Rudolf & Pascal Seiler, 2022. "Price setting before and during the pandemic: evidence from Swiss consumer prices," Working Papers 2022-12, Swiss National Bank.
    13. Young, Andrew T. & Levy, Daniel, 2014. "Explicit Evidence of an Implicit Contract," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 30(4), pages 804-832.
    14. Stéphane Dupraz, 2024. "A Kinked‐Demand Theory of Price Rigidity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(2-3), pages 325-363, March.
    15. Nakamura, Emi & Steinsson, Jón, 2011. "Price setting in forward-looking customer markets," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 220-233.
    16. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo & Josephine Smith, 2014. "How Frequent Are Small Price Changes?," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(2), pages 137-155, April.
    17. Edward S. Knotek & Doron Sayag & Avichai Snir, 2019. "The Effects of Price Endings on Price Rigidity: Evidence from VAT Changes," Working Papers 19-24, Federal Reserve Bank of Cleveland.
    18. Michael Weber, 2014. "Nominal Rigidities and Asset Pricing," 2014 Meeting Papers 53, Society for Economic Dynamics.
    19. Emmanuel Dhyne & Jerzy Konieczny & Fabio Rumler & Patrick Sevestre, 2009. "Price rigidity in the euro area - An assessment," European Economy - Economic Papers 2008 - 2015 380, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    20. James Costain & Anton Nakov, 2019. "Logit Price Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 43-78, February.

    More about this item

    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce
    • M3 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:26646. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.