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Quantum prices

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  • Aparicio, Diego
  • Rigobon, Roberto

Abstract

Many retailers practice an extreme form of discrete pricing defined as quantum prices: differentiated products are priced using few and sparse price buckets. To show this, online data was collected for 350,000 products from over 65 fashion retailers in the U.S. and the U.K. This pricing strategy is observed within categories and across categories (i.e., similar or even disparately distinct products like jeans and bags have an identical price), as well as in product introductions, where new products come in at previous price buckets. Normalized indices indicate substantial price clustering after controlling for popular prices, convenient prices, assortment size, or digit endings. Quantum prices have implications for price adjustments through product shares, markdown prices, and for the law-of-one-price. A behavioral model of price salience and recall is discussed.

Suggested Citation

  • Aparicio, Diego & Rigobon, Roberto, 2023. "Quantum prices," Journal of International Economics, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:inecon:v:143:y:2023:i:c:s0022199623000569
    DOI: 10.1016/j.jinteco.2023.103770
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    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Kehoe, Patrick & Midrigan, Virgiliu, 2015. "Prices are sticky after all," Journal of Monetary Economics, Elsevier, vol. 75(C), pages 35-53.
    7. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    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. Gah-Yi Ban & Jérémie Gallien & Adam J. Mersereau, 2019. "Dynamic Procurement of New Products with Covariate Information: The Residual Tree Method," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 798-815, October.
    11. 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.
    12. Alberto Cavallo, 2018. "Scraped Data and Sticky Prices," The Review of Economics and Statistics, MIT Press, vol. 100(1), pages 105-119, March.
    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. Emi Nakamura & Jón Steinsson, 2013. "Price Rigidity: Microeconomic Evidence and Macroeconomic Implications," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 133-163, May.
    16. 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.
    17. Shugan, Steven M, 1980. "The Cost of Thinking," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 7(2), pages 99-111, Se.
    18. Eric Anderson & Nir Jaimovich & Duncan Simester, 2015. "Price Stickiness: Empirical Evidence of the Menu Cost Channel," The Review of Economics and Statistics, MIT Press, vol. 97(4), pages 813-826, October.
    19. Edward S. Knotek, 2011. "Convenient Prices and Price Rigidity: Cross-Sectional Evidence," The Review of Economics and Statistics, MIT Press, vol. 93(3), pages 1076-1086, August.
    20. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2020. "Memory, Attention, and Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1399-1442.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. Chaim Fershtman & Ehud Kalai, 1993. "Complexity Considerations and Market Behavior," RAND Journal of Economics, The RAND Corporation, vol. 24(2), pages 224-235, Summer.
    26. 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.
    27. Andrew Caplin & Mark Dean, 2015. "Revealed Preference, Rational Inattention, and Costly Information Acquisition," American Economic Review, American Economic Association, vol. 105(7), pages 2183-2203, July.
    28. 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.
    29. 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.
    30. 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.
    31. Emi Nakamura, 2008. "Pass-Through in Retail and Wholesale," American Economic Review, American Economic Association, vol. 98(2), pages 430-437, May.
    32. Luminita Stevens, 2020. "Coarse Pricing Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(1), pages 420-453.
    33. Eric T. Anderson & Duncan I. Simester, 2001. "Price Discrimination as an Adverse Signal: Why an Offer to Spread Payments May Hurt Demand," Marketing Science, INFORMS, vol. 20(3), pages 315-327, November.
    34. 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.
    35. Jacoby, Jacob, 1984. "Perspectives on Information Overload," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 10(4), pages 432-435, March.
    36. 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.
    37. 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.
    38. Duncan Simester, 1995. "Signalling Price Image Using Advertised Prices," Marketing Science, INFORMS, vol. 14(2), pages 166-188.
    39. 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.
    40. 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.
    41. Orbach, Barak Y. & Einav, Liran, 2007. "Uniform prices for differentiated goods: The case of the movie-theater industry," International Review of Law and Economics, Elsevier, vol. 27(2), pages 129-153.
    42. Diego Aparicio & Zachary Metzman & Roberto Rigobon, 2021. "The Pricing Strategies of Online Grocery Retailers," NBER Working Papers 28639, National Bureau of Economic Research, Inc.
    43. 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.
    44. 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.
    45. 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.
    46. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-599, May.
    47. Eric Anderson & Duncan Simester, 2003. "Effects of $9 Price Endings on Retail Sales: Evidence from Field Experiments," Quantitative Marketing and Economics (QME), Springer, vol. 1(1), pages 93-110, March.
    48. 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.
    49. 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.
    50. 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.
    51. 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.
    52. 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.
    53. 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.
    54. Junehyuk Jung & Jeong Ho (John) Kim & Filip Matějka & Christopher A Sims, 2019. "Discrete Actions in Information-Constrained Decision Problems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(6), pages 2643-2667.
    55. Jean-Pierre Dubé & Günter Hitsch & Puneet Manchanda, 2005. "An Empirical Model of Advertising Dynamics," Quantitative Marketing and Economics (QME), Springer, vol. 3(2), pages 107-144, June.
    56. Felipe Caro & Jérémie Gallien, 2010. "Inventory Management of a Fast-Fashion Retail Network," Operations Research, INFORMS, vol. 58(2), pages 257-273, April.
    57. Martin Eichenbaum & Nir Jaimovich & Sergio Rebelo, 2011. "Reference Prices, Costs, and Nominal Rigidities," American Economic Review, American Economic Association, vol. 101(1), pages 234-262, February.
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    More about this item

    Keywords

    Behavioral pricing; Price frictions; Salience; Recall; Cross-country retail;
    All these keywords.

    JEL classification:

    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis
    • M3 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising
    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce
    • E7 - Macroeconomics and Monetary Economics - - Macro-Based Behavioral Economics

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