×

The reference effects on a retailer’s dynamic pricing and inventory strategies with strategic consumers. (English) Zbl 1333.90038

Summary: We consider a retailer that sells the same or different versions of the product season after season. At the beginning of each season (stage 1), the retailer places an order and sells the product at the full price. As the sales unfold, the retailer has an opportunity to mark down the price (stage 2), which creates an incentive for strategic consumers to delay their purchases for price discount. However, consumers do not know the markdown price exactly when they time their purchases; instead, they learn from the retailer’s past prices and form their estimate of the markdown price, called the reference price, to decide if they purchase at the full price or wait for the markdown in the current selling season. We characterize the properties of the optimal ordering and markdown decisions and show that markdowns, if adopted appropriately, do not necessarily destroy the stability of a business even in the presence of strategic consumers. Furthermore, the consumers’ reference exhibits a mean reverting pattern under certain conditions; that is, the reference fluctuates around a mean value, reflecting the practice of most stable businesses. We conduct numerical studies to investigate the impact of consumer learning about the reference price and various system parameters on the retailer’s optimal strategies and profitability in the presence of strategic consumers.

MSC:

90B30 Production models
90C39 Dynamic programming
91B24 Microeconomic theory (price theory and economic markets)
Full Text: DOI

References:

[1] Adelman D, Mersereau AJ (2013) Dynamic capacity allocation to customers who remember past service. Management Sci. 59(3):592-612. Link
[2] Arslan H, Kachani S (2011) Dynamic pricing under consumer reference-price effects. Cochran JJ, Cox LA, Keskinocak P, Kharoufeh JP, Smith, JC, eds. Wiley Encyclopedia of Operations Research and Management Science (John Wiley & Sons), 1545-1561. CrossRef
[3] Aviv Y, Pazgal A (2008) Optimal pricing of seasonal products in the presence of forward-looking consumers. Manufacturing Service Oper. Management 10(3):339-359. Link
[4] Baron O, Hu M, Najafi-Asadolahi S, Qian Q (2015) Newsvendor selling to loss-averse consumers with stochastic reference points. Manufacturing Service Oper. Management 4(4):456-469. Link
[5] Cachon GP, Swinney R (2009) Purchasing, pricing, and quick response in the presence of strategic consumers. Management Sci. 55(3):497-511. Link · Zbl 1232.91418
[6] Chan L, Shen Z, Simchi-Levi D, Swann J (2004) Coordination of pricing and inventory decisions: A survey and classification. Simchi-Levi D, Wu S, Shen ZJ, eds. Handbook of Quantitative Supply Chain Analysis, International Series in Operations Research and Management Science, Vol. 74 (Springer, New York), 335-392. CrossRef · Zbl 1125.91322
[7] Chen X, Simchi-Levi D (2004) Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: The finite horizon case. Oper. Res. 52(6):887-896. Link · Zbl 1165.90308
[8] Chen X, Simchi-Levi D (2012) Pricing and inventory management. Özer Ö, Phillips R, eds. The Oxford Handbook of Pricing Management (Oxford University Press, Oxford, UK), 784-822. CrossRef
[9] Eliashberg J, Steinberg R (1993) Marketing-production joint decision-making. Eliashberg J, Lilien G, eds. Marketing, Handbooks in Operations Research and Management Science, Vol. 5 (Elsevier, Amsterdam), 827-880. CrossRef
[10] Elmaghraby W, Keskinocak P (2003) Dynamic pricing in the presence of inventory considerations: Research overview, current practices, and future directions. Management Sci. 49(10):1287-1309. Link · Zbl 1232.90042
[11] Erdem T, Mayhew G, Sun B (2001) Understanding reference-price shoppers: A within- and cross-category analysis. J. Marketing Res. 38(4):445-457. CrossRef
[12] Federgruen A, Heching A (1999) Combined pricing and inventory control under uncertainty. Oper. Res. 47(3):454-475. Link · Zbl 0979.90004
[13] Gallego G, Phillips R, Şahin O (2008) Strategic management of distressed inventory. Production Oper. Management 17(4):402-415. CrossRef
[14] Gaur V, Park YH (2007) Asymmetric consumer learning and inventory competition. Management Sci. 53(2):227-240. Link · Zbl 1232.91423
[15] Greenleaf EA (1995) The impact of reference price effects on the profitability of price promotions. Marketing Sci. 14(1):82-104. Link
[16] Güler MG, Bilgiç T, Güllü R (2014) Joint inventory and pricing decisions with reference effects. IIE Trans. 46(4):330-343. CrossRef
[17] Kopalle PK, Rao AG, Assunção JaL (1996) Asymmetric reference price effects and dynamic pricing policies. Marketing Sci. 15(1):60-85. Link
[18] Lai G, Debo LG, Sycara K (2010) Buy now and match later: Impact of posterior price matching on profit with strategic consumers. Manufacturing Service Oper. Management 12(1):33-55. Link
[19] Liu Q, van Ryzin G (2011) Strategic capacity rationing when customers learn. Manufacturing Service Oper. Management 13(1):89-107. Link
[20] Liu Q, van Ryzin GJ (2008) Strategic capacity rationing to induce early purchases. Management Sci. 54(6):1115-1131. Link · Zbl 1232.91253
[21] Mazumdar T, Raj S, Sinha I (2005) Reference price research: Review and propositions. J. Marketing 69(4):84-102. CrossRef
[22] Mersereau AJ, Zhang D (2012) Markdown pricing with unknown fraction of strategic customers. Manufacturing Service Oper. Management 14(3):355-370. Link
[23] Netessine S, Tang CS (2009) Consumer-Driven Demand and Operations Management Models: A Systematic Study of Information-Technology-Enabled Sales Mechanisms, Vol. 131 (Springer, New York).
[24] Olsen TL, Parker RP (2008) Inventory management under market size dynamics. Management Sci. 54(10):1805-1821. Link · Zbl 1232.90081
[25] Ovchinnikov A, Milner JM (2012) Revenue management with end-of-period discounts in the presence of customer learning. Production Oper. Management 21(1):69-84. CrossRef
[26] Popescu I, Wu Y (2007) Dynamic pricing strategies with reference effects. Oper. Res. 55(3):413-429. Link · Zbl 1167.91348
[27] Puterman ML (2009) Markov Decision Processes: Discrete Stochastic Dynamic Programming (John Wiley & Sons, Hoboken, NJ).
[28] Shen ZJM, Su X (2007) Customer behavior modeling in revenue management and auctions: A review and new research opportunities. Production Oper. Management 16(6):713-728. CrossRef
[29] Su X (2007) Intertemporal pricing with strategic customer behavior. Management Sci. 53(5):726-741. Link · Zbl 1232.91435
[30] Su X, Zhang F (2008) Strategic customer behavior, commitment, and supply chain performance. Management Sci. 54(10):1759-1773. Link · Zbl 1232.91262
[31] Su X, Zhang F (2009) On the value of commitment and availability guarantees when selling to strategic consumers. Management Sci. 55(5):713-726. Link · Zbl 1232.91436
[32] Thowsen GT (1975) A dynamic, nonstationary inventory problem for a price/quantity setting firm. Naval Res. Logist. Quart. 22(3):461-476. CrossRef · Zbl 0331.90026
[33] Yano C, Gilbert S (2004) Coordinated pricing and production/procurement decisions: A review. Chakravarty A, Eliashberg J, eds. Managing Business Interfaces, International Series in Quantitative Marketing, Vol. 16 (Springer, New York), 65-103.
[34] Yin R, Aviv Y, Pazgal A, Tang CS (2009) Optimal markdown pricing: Implications of inventory display formats in the presence of strategic customers. Management Sci. 55(8):1391-1408. Link · Zbl 1232.91061
[35] Zabel E (1970) Monopoly and uncertainty. Rev. Econom. Stud. 37(2): 205-219. CrossRef · Zbl 0194.50902
[36] Zabel E (1972) Multiperiod monopoly under uncertainty. J. Econom. Theory 5(3):524-536. CrossRef
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.