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Quantity discount pricing policies for heterogeneous retailers with price sensitive demand

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  • Qinan Wang
  • Ruifang Wang

Abstract

Although quantity discount policies have been extensively analyzed, they are not well understood when there are many different buyers. This is especially the case when buyers face price‐sensitive demand. In this paper we study a supplier's optimal quantity discount policy for a group of independent and heterogeneous retailers, when each retailer faces a demand that is a decreasing function of its retail price. The problem is analyzed as a Stackelberg game whereby the supplier acts as the leader and buyers act as followers. We show that a common quantity discount policy that is designed according to buyers' individual cost and demand structures and their rational economic behavior is able to significantly stimulate demand, improve channel efficiency, and substantially increase profits for both the supplier and buyers. Furthermore, we show that the selection of all‐units or incremental quantity discount policies has no effect on the benefits that can be obtained from quantity discounts. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005

Suggested Citation

  • Qinan Wang & Ruifang Wang, 2005. "Quantity discount pricing policies for heterogeneous retailers with price sensitive demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(7), pages 645-658, October.
  • Handle: RePEc:wly:navres:v:52:y:2005:i:7:p:645-658
    DOI: 10.1002/nav.20103
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    References listed on IDEAS

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    1. Viswanathan, S. & Wang, Qinan, 2003. "Discount pricing decisions in distribution channels with price-sensitive demand," European Journal of Operational Research, Elsevier, vol. 149(3), pages 571-587, September.
    2. Qinan Wang, 2001. "Coordinating Independent Buyers in a Distribution System to Increase a Vendor's Profits," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 337-348, May.
    3. Lu, Lu, 1995. "A one-vendor multi-buyer integrated inventory model," European Journal of Operational Research, Elsevier, vol. 81(2), pages 312-323, March.
    4. Z. Kevin Weng, 1995. "Channel Coordination and Quantity Discounts," Management Science, INFORMS, vol. 41(9), pages 1509-1522, September.
    5. Robert J. Dolan, 1987. "Quantity Discounts: Managerial Issues and Research Opportunities," Marketing Science, INFORMS, vol. 6(1), pages 1-22.
    6. Hau L. Lee & Meir J. Rosenblatt, 1986. "A Generalized Quantity Discount Pricing Model to Increase Supplier's Profits," Management Science, INFORMS, vol. 32(9), pages 1177-1185, September.
    7. Abel P. Jeuland & Steven M. Shugan, 1983. "Managing Channel Profits," Marketing Science, INFORMS, vol. 2(3), pages 239-272.
    8. Kim, Kap H. & Hwang, Hark, 1988. "An incremental discount pricing schedule with multiple customers and single price break," European Journal of Operational Research, Elsevier, vol. 35(1), pages 71-79, April.
    9. James P. Monahan, 1984. "A Quantity Discount Pricing Model to Increase Vendor Profits," Management Science, INFORMS, vol. 30(6), pages 720-726, June.
    10. Charles J. Corbett & Xavier de Groote, 2000. "A Supplier's Optimal Quantity Discount Policy Under Asymmetric Information," Management Science, INFORMS, vol. 46(3), pages 444-450, March.
    11. James V. Jucker & Meir J. Rosenblatt, 1985. "Single‐period inventory models with demand uncertainty and quantity discounts: Behavioral implications and a new solution procedure," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(4), pages 537-550, November.
    12. Z. Kevin Weng & Richard T. Wong, 1993. "General models for the supplier's all‐unit quantity discount policy," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 971-991, December.
    13. Stephen C. Graves & Leroy B. Schwarz, 1977. "Single Cycle Continuous Review Policies for Arborescent Production/Inventory Systems," Management Science, INFORMS, vol. 23(5), pages 529-540, January.
    14. Qinan Wang, 2002. "Determination of suppliers' optimal quantity discount schedules with heterogeneous buyers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(1), pages 46-59, February.
    15. Prafulla N. Joglekar, 1988. "Note---Comments on "A Quantity Discount Pricing Model to Increase Vendor Profits"," Management Science, INFORMS, vol. 34(11), pages 1391-1398, November.
    16. Maqbool Dada & K. N. Srikanth, 1987. "Pricing Policies for Quantity Discounts," Management Science, INFORMS, vol. 33(10), pages 1247-1252, October.
    17. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Coordination Mechanisms for a Distribution System with One Supplier and Multiple Retailers," Management Science, INFORMS, vol. 47(5), pages 693-708, May.
    18. Abad, P. L., 1994. "Supplier pricing and lot sizing when demand is price sensitive," European Journal of Operational Research, Elsevier, vol. 78(3), pages 334-354, November.
    19. repec:inm:ormnsc:v:30:y:1984:i:12:p:1524-1539(2 is not listed on IDEAS
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    Cited by:

    1. Adeinat, Hamza & Pazhani, Subramanian & Mendoza, Abraham & Ventura, Jose A., 2022. "Coordination of pricing and inventory replenishment decisions in a supply chain with multiple geographically dispersed retailers," International Journal of Production Economics, Elsevier, vol. 248(C).
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