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Learning, Forgetting, and Sales

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  • Sofia Berto Villas-Boas

    (Department of Agricultural and Resource Economics, University of California at Berkeley, Berkeley, California 94720)

  • J. Miguel Villas-Boas

    (Haas School of Business, University of California at Berkeley, Berkeley, California 94720)

Abstract

Sellers of almost any product or service rarely keep their prices constant through time and frequently offer price discounts or sales. This paper investigates an explanation of sales as a way for uninformed consumers to be willing to experience the product, and learn about its fit, and where informed consumers may forget about (or change) their preferences. We investigate the role of the rate of consumer forgetting on the timing between sales, and of the rate of consumer learning and menu costs on the length of a sale. The rate of consumer forgetting can be linked to the length of purchase cycle and the level of consumer involvement. We show that the discount frequency and the discount depth are increasing in the rate of consumer forgetting, and that the discount frequency is increasing in the learning rate. The duration of a sale is increasing in the rate of consumer forgetting and the rate of consumer learning.

Suggested Citation

  • Sofia Berto Villas-Boas & J. Miguel Villas-Boas, 2008. "Learning, Forgetting, and Sales," Management Science, INFORMS, vol. 54(11), pages 1951-1960, November.
  • Handle: RePEc:inm:ormnsc:v:54:y:2008:i:11:p:1951-1960
    DOI: 10.1287/mnsc.1080.0909
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    1. Dmitri Kuksov, 2004. "Buyer Search Costs and Endogenous Product Design," Marketing Science, INFORMS, vol. 23(4), pages 490-499, May.
    2. Ying Zhao, 2006. "Price Dispersion in the Grocery Market," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1175-1192, May.
    3. Philippe Aghion & Patrick Bolton & Christopher Harris & Bruno Jullien, 1991. "Optimal Learning by Experimentation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(4), pages 621-654.
    4. Villas-Boas, Sofia B., 2006. "Vertical relationships between manufacturers and retailers: inference with limited data," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt0z26d2v9, Department of Agricultural & Resource Economics, UC Berkeley.
    5. 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.
    6. John W. Keon, 1980. "The Bargain Value Model and a Comparison of Managerial Implications with the Linear Learning Model," Management Science, INFORMS, vol. 26(11), pages 1117-1130, November.
    7. Sofia Berto Villas-Boas & J. Miguel Villas-Boas, 2008. "Learning, Forgetting, and Sales," Management Science, INFORMS, vol. 54(11), pages 1951-1960, November.
    8. Sofia Berto Villas-Boas & J. Miguel Villas-Boas, 2008. "Learning, Forgetting, and Sales," Management Science, INFORMS, vol. 54(11), pages 1951-1960, November.
    9. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-659, September.
    10. Ram C. Rao & Ramesh V. Arjunji & B. P. S. Murthi, 1995. "Game Theory and Empirical Generalizations Concerning Competitive Promotions," Marketing Science, INFORMS, vol. 14(3_supplem), pages 89-100.
    11. Rajiv Lal & J. Miguel Villas-Boas, 1998. "Price Promotions and Trade Deals with Multiproduct Retailers," Management Science, INFORMS, vol. 44(7), pages 935-949, July.
    12. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    13. Villas-Boas, Sofia B., 2007. "Vertical relationships between manufacturers and retailers: inference with limited data," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt6gz1t778, Department of Agricultural & Resource Economics, UC Berkeley.
    14. Fred M. Feinberg, 2001. "On Continuous-Time Optimal Advertising Under S-Shaped Response," Management Science, INFORMS, vol. 47(11), pages 1476-1487, November.
    15. Pashigian, B Peter, 1988. "Demand Uncertainty and Sales: A Study of Fashion and Markdown Pricin g," American Economic Review, American Economic Association, vol. 78(5), pages 936-953, December.
    16. Doyle, Chris, 1986. "Intertemporal Price Discrimination, Uncertainty and Introductory Offers," Economic Journal, Royal Economic Society, vol. 96(380a), pages 71-82, Supplemen.
    17. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(3), pages 489-505.
    18. Vijay Mahajan & Eitan Muller, 1986. "Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 89-106.
    19. Rosenthal, Robert W, 1980. "A Model in Which an Increase in the Number of Sellers Leads to a Higher Price," Econometrica, Econometric Society, vol. 48(6), pages 1575-1579, September.
    20. Nitin Mehta & Surendra Rajiv & Kannan Srinivasan, 2004. "Role of Forgetting in Memory-Based Choice Decisions: A Structural Model," Quantitative Marketing and Economics (QME), Springer, vol. 2(2), pages 107-140, June.
    21. Sofia Berto Villas-Boas, 2007. "Vertical Relationships between Manufacturers and Retailers: Inference with Limited Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 625-652.
    22. Vijay Mahajan & Eitan Muller, 1986. "Reply—Reflections on Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 110-111.
    23. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    24. J. Miguel Villas-Boas, 1993. "Predicting Advertising Pulsing Policies in an Oligopoly: A Model and Empirical Test," Marketing Science, INFORMS, vol. 12(1), pages 88-102.
    25. 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.
    26. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April.
    27. Jagmohan S. Raju & V. Srinivasan & Rajiv Lal, 1990. "The Effects of Brand Loyalty on Competitive Price Promotional Strategies," Management Science, INFORMS, vol. 36(3), pages 276-304, March.
    28. repec:bla:jemstr:v:4:y:1995:i:1:p:85-107:a is not listed on IDEAS
    29. Ram C. Rao, 1991. "Pricing and Promotions in Asymmetric Duopolies," Marketing Science, INFORMS, vol. 10(2), pages 131-144.
    30. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-449, October.
    31. Anderson, Eric T. & Kumar, Nanda & Rajiv, Surendra, 2004. "A comment on: "Revisiting dynamic duopoly with consumer switching costs"," Journal of Economic Theory, Elsevier, vol. 116(1), pages 177-186, May.
    32. Eric T. Anderson & Duncan I. Simester, 1998. "The Role of Sale Signs," Marketing Science, INFORMS, vol. 17(2), pages 139-155.
    33. Villas-Boas, J Miguel, 1995. "Models of Competitive Price Promotions: Some Empirical Evidence from the Coffee and Saltine Crackers Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(1), pages 85-107, Spring.
    34. Padilla A. Jorge, 1995. "Revisiting Dynamic Duopoly with Consumer Switching Costs," Journal of Economic Theory, Elsevier, vol. 67(2), pages 520-530, December.
    35. Dirk Bergemann & Juuso Valimaki, 2004. "Monopoly Pricing of Experience Goods," Cowles Foundation Discussion Papers 1463R, Cowles Foundation for Research in Economics, Yale University, revised May 2005.
    36. Jeuland, Abel P & Narasimhan, Chakravarthi, 1985. "Dealing-Temporary Price Cuts-by Seller as a Buyer Discrimination Mechanism," The Journal of Business, University of Chicago Press, vol. 58(3), pages 295-308, July.
    37. Sobel, Joel, 1991. "Durable Goods Monopoly with Entry of New Consumers," Econometrica, Econometric Society, vol. 59(5), pages 1455-1485, September.
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    Cited by:

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    2. Février, Philippe & Wilner, Lionel, 2016. "Do consumers correctly expect price reductions? Testing dynamic behavior," International Journal of Industrial Organization, Elsevier, vol. 44(C), pages 25-40.
    3. Andrés Elberg & Pedro M. Gardete & Rosario Macera & Carlos Noton, 2019. "Dynamic effects of price promotions: field evidence, consumer search, and supply-side implications," Quantitative Marketing and Economics (QME), Springer, vol. 17(1), pages 1-58, March.
    4. Schumacher, Heiner, 2014. "Incentives through consumer learning about tastes," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 170-177.
    5. Sofia Berto Villas-Boas & J. Miguel Villas-Boas, 2008. "Learning, Forgetting, and Sales," Management Science, INFORMS, vol. 54(11), pages 1951-1960, November.
    6. Kai A.Konrad, 2010. "Merger Profitability in Industries with Brand Portfolios and Loyal Customers," Korean Economic Review, Korean Economic Association, vol. 26, pages 5-26.
    7. Guo, Wenhao & Tian, Jin & Li, Minqiang, 2023. "Price-aware enhanced dynamic recommendation based on deep learning," Journal of Retailing and Consumer Services, Elsevier, vol. 75(C).
    8. Jang, Seongsoo & Chung, Jaihak, 2021. "What drives add-on sales in mobile games? The role of inter-price relationship and product popularity," Journal of Business Research, Elsevier, vol. 124(C), pages 59-68.
    9. Amir Ajorlou & Ali Jadbabaie & Ali Kakhbod, 2018. "Dynamic Pricing in Social Networks: The Word-of-Mouth Effect," Management Science, INFORMS, vol. 64(2), pages 971-979, February.
    10. Liang Guo, 2023. "The Mnemonomics of Contractual Screening," Management Science, INFORMS, vol. 69(3), pages 1739-1757, March.
    11. Upender Subramanian & Ram C. Rao, 2016. "Leveraging Experienced Consumers to Attract New Consumers: An Equilibrium Analysis of Displaying Deal Sales by Daily Deal Websites," Management Science, INFORMS, vol. 62(12), pages 3555-3575, December.
    12. Richard C. Hanna & Scott D. Swain & Paul D. Berger, 2016. "Optimizing time-limited price promotions," Journal of Marketing Analytics, Palgrave Macmillan, vol. 4(2), pages 77-92, July.
    13. Zhang, Zelin & Dong, Xiaodan & Mantrala, Murali & Zhang, Yihao, 2018. "Optimal depth and timing of price promotions in a vertically differentiated product line," Journal of Business Research, Elsevier, vol. 83(C), pages 215-228.
    14. Maxim Sinitsyn, 2017. "Pricing with Prescheduled Sales," Marketing Science, INFORMS, vol. 36(6), pages 999-1014, November.
    15. Matthew Osborne, 2007. "Consumer Learning, Switching Costs, and Heterogeneity: A Structural Examination," EAG Discussions Papers 200710, Department of Justice, Antitrust Division.
    16. Raphael Thomadsen & Pradeep Bhardwaj, 2011. "Cooperation in Games with Forgetfulness," Management Science, INFORMS, vol. 57(2), pages 363-375, February.

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