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Nonlinear pricing for yield management and countering strategic consumer behavior

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  • Khouja, Moutaz
  • Li, Yuefeng
  • Zhou, Jing

Abstract

Many models assume that faced with excess inventory, retailers offer price discounts to increase sales. This discount is assumed to be a certain dollar amount or a certain percent of the regular price. However, many retailers use nonlinear pricing, e.g., “Buy one, get one for 50% off,” which we refer to as BOGO. We analyze BOGO within the newsvendor model and identify the reasons for its popularity. We describe the type of products for which BOGO is suitable, identify the optimal BOGO discount, and its effect on the retailer’s profit. We compare BOGO to straight price reduction and analyze the newsvendor’s optimal choice between them. We also examine the two promotions in the presence of strategic consumers. We find that for reasonable values of consumer marginal utility and a given order quantity, BOGO reduces strategic consumers’ chances of obtaining a unit at a discount and their incentive to wait. Therefore, the newsvendor orders a larger quantity with BOGO than with a price reduction. Thus, BOGO can be used to counter strategic consumer behavior. Also, we find that in the presence of strategic consumers, there are cases where it is optimal for the retailer to wait and offer a straight discount at the end of the season. However, with BOGO, it is always optimal to offer a BOGO at the start of the season if realized demand is low. We examine the robustness of our results to different arrival rates and positive salvage value and find that they qualitatively hold.

Suggested Citation

  • Khouja, Moutaz & Li, Yuefeng & Zhou, Jing, 2023. "Nonlinear pricing for yield management and countering strategic consumer behavior," European Journal of Operational Research, Elsevier, vol. 307(1), pages 212-232.
    • Handle: RePEc:eee:ejores:v:307:y:2023:i:1:p:212-232
    DOI: 10.1016/j.ejor.2022.08.037
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    1. Gérard P. Cachon & Robert Swinney, 2009. "Purchasing, Pricing, and Quick Response in the Presence of Strategic Consumers," Management Science, INFORMS, vol. 55(3), pages 497-511, March.
    2. Yuri Levin & Mikhail Nediak & Andrei Bazhanov, 2014. "Quantity Premiums and Discounts in Dynamic Pricing," Operations Research, INFORMS, vol. 62(4), pages 846-863, August.
    3. Ye Lu & Youhua (Frank) Chen & Miao Song & Xiaoming Yan, 2014. "Optimal Pricing and Inventory Control Policy with Quantity-Based Price Differentiation," Operations Research, INFORMS, vol. 62(3), pages 512-523, June.
    4. João L. Assunção & Robert J. Meyer, 1993. "The Rational Effect of Price Promotions on Sales and Consumption," Management Science, INFORMS, vol. 39(5), pages 517-535, May.
    5. Yuxin Chen & Sridhar Moorthy & Z. John Zhang, 2005. "Research Note---Price Discrimination After the Purchase: Rebates as State-Dependent Discounts," Management Science, INFORMS, vol. 51(7), pages 1131-1140, July.
    6. Xuanming Su, 2007. "Intertemporal Pricing with Strategic Customer Behavior," Management Science, INFORMS, vol. 53(5), pages 726-741, May.
    7. Ruomeng Cui & Dennis J. Zhang & Achal Bassamboo, 2019. "Learning from Inventory Availability Information: Evidence from Field Experiments on Amazon," Management Science, INFORMS, vol. 65(3), pages 1216-1235, March.
    8. Kyoung-Kuk Kim & Chi-Guhn Lee & Sunggyun Park, 2016. "Dynamic pricing with ‘BOGO’ promotion in revenue management," International Journal of Production Research, Taylor & Francis Journals, vol. 54(17), pages 5283-5302, September.
    9. Manel Baucells & Rakesh K. Sarin, 2010. "Predicting Utility Under Satiation and Habit Formation," Management Science, INFORMS, vol. 56(2), pages 286-301, February.
    10. Seungjin Whang, 2015. "Demand Uncertainty and the Bayesian Effect in Markdown Pricing with Strategic Customers," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 66-77, January.
    11. Guoming Lai & Laurens G. Debo & Katia Sycara, 2010. "Erratum to "Buy Now and Match Later: Impact of Posterior Price Matching on Profit with Strategic Consumers"," Manufacturing & Service Operations Management, INFORMS, vol. 12(2), pages 370-370.
    12. Zizhuo Wang, 2016. "Technical Note—Intertemporal Price Discrimination via Reference Price Effects," Operations Research, INFORMS, vol. 64(2), pages 290-296, April.
    13. Guoming Lai & Laurens G. Debo & Katia Sycara, 2010. "Buy Now and Match Later: Impact of Posterior Price Matching on Profit with Strategic Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 33-55, December.
    14. Vincent Mak & Amnon Rapoport & Eyran J. Gisches & Jiaojie Han, 2014. "Purchasing Scarce Products Under Dynamic Pricing: An Experimental Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 425-438, July.
    15. Reza Ahmadi & Foad Iravani & Hamed Mamani, 2017. "Supply Chain Coordination in the Presence of Gray Markets and Strategic Consumers," Production and Operations Management, Production and Operations Management Society, vol. 26(2), pages 252-272, February.
    16. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    17. Yen-Ting Lin & Ali K. Parlaktürk & Jayashankar M. Swaminathan, 2018. "Are Strategic Customers Bad for a Supply Chain?," Manufacturing & Service Operations Management, INFORMS, vol. 20(3), pages 481-497, July.
    18. Retsef Levi & Georgia Perakis & Joline Uichanco, 2015. "The Data-Driven Newsvendor Problem: New Bounds and Insights," Operations Research, INFORMS, vol. 63(6), pages 1294-1306, December.
    19. Ningyuan Chen & Javad Nasiry, 2020. "Does Loss Aversion Preclude Price Variation?," Manufacturing & Service Operations Management, INFORMS, vol. 22(2), pages 383-395, March.
    20. Gérard P. Cachon & Pnina Feldman, 2015. "Price Commitments with Strategic Consumers: Why It Can Be Optimal to Discount More Frequently … Than Optimal," Manufacturing & Service Operations Management, INFORMS, vol. 17(3), pages 399-410, July.
    21. Bylka, S.Stanislaw & Rempala, Ryszarda, 2004. "Heuristics for impulse replenishment with continuous periodic demand," International Journal of Production Economics, Elsevier, vol. 88(2), pages 183-190, March.
    22. Khouja, Moutaz & Subramaniam, Chandra & Vasudev, Vinay, 2020. "A comparative analysis of marketing promotions and implications for data analytics," International Journal of Research in Marketing, Elsevier, vol. 37(1), pages 151-174.
    23. Xuanming Su & Fuqiang Zhang, 2009. "On the Value of Commitment and Availability Guarantees When Selling to Strategic Consumers," Management Science, INFORMS, vol. 55(5), pages 713-726, May.
    24. Shining Wu & Qian Liu & Rachel Q. Zhang, 2015. "The Reference Effects on a Retailer’s Dynamic Pricing and Inventory Strategies with Strategic Consumers," Operations Research, INFORMS, vol. 63(6), pages 1320-1335, December.
    25. Khouja, Moutaz & Park, Sungjune & Zhou, Jing, 2013. "A free gift card alternative to price discounts in the newsvendor problem," Omega, Elsevier, vol. 41(4), pages 665-678.
    26. Xuanming Su & Fuqiang Zhang, 2008. "Strategic Customer Behavior, Commitment, and Supply Chain Performance," Management Science, INFORMS, vol. 54(10), pages 1759-1773, October.
    27. Yuri Levin & Jeff McGill & Mikhail Nediak, 2009. "Dynamic Pricing in the Presence of Strategic Consumers and Oligopolistic Competition," Management Science, INFORMS, vol. 55(1), pages 32-46, January.
    28. Jun Li & Nelson Granados & Serguei Netessine, 2014. "Are Consumers Strategic? Structural Estimation from the Air-Travel Industry," Management Science, INFORMS, vol. 60(9), pages 2114-2137, September.
    29. Gonca P. Soysal & Lakshman Krishnamurthi, 2012. "Demand Dynamics in the Seasonal Goods Industry: An Empirical Analysis," Marketing Science, INFORMS, vol. 31(2), pages 293-316, March.
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