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A Monopolistic and Oligopolistic Stochastic Flow Revenue Management Model

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  • Xiaowei Xu

    (Department of Management Science and Information Systems, Rutgers University, The State University of New Jersey, Newark, New Jersey 07102)

  • Wallace J. Hopp

    (Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208)

Abstract

This paper studies a one-shot inventory replenishment problem with dynamic pricing. The customer arrival rate is assumed to follow a geometric Brownian motion. Homogeneous customers have an isoelastic demand function and do not behave strategically. We find a closed-form optimal pricing policy, which utilizes current demand information. Under this pricing policy the inventory trajectory is deterministic, and a retailer sells all inventory. We show that dynamic pricing coordinated with the inventory decision achieves significantly higher profits than does static pricing. Furthermore, under oligopolistic competition we establish a weak perfect Bayesian equilibrium for the price and inventory replenishment game. We find the pricing equilibrium to be cooperative even in a noncooperative environment, but that inventory competition results in overstock and damages profits. Finally, we examine the trade-off between dynamic pricing and price precommitment and find that flexible pricing is still beneficial, provided competition is not too intense.

Suggested Citation

  • Xiaowei Xu & Wallace J. Hopp, 2006. "A Monopolistic and Oligopolistic Stochastic Flow Revenue Management Model," Operations Research, INFORMS, vol. 54(6), pages 1098-1109, December.
    • Handle: RePEc:inm:oropre:v:54:y:2006:i:6:p:1098-1109
    DOI: 10.1287/opre.1060.0336
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    References listed on IDEAS

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    Cited by:

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    2. Dasci, A. & Karakul, M., 2009. "Two-period dynamic versus fixed-ratio pricing in a capacity constrained duopoly," European Journal of Operational Research, Elsevier, vol. 197(3), pages 945-968, September.
    3. Guillermo Gallego & Ming Hu, 2014. "Dynamic Pricing of Perishable Assets Under Competition," Management Science, INFORMS, vol. 60(5), pages 1241-1259, May.
    4. Qian Liu & Dan Zhang, 2013. "Dynamic Pricing Competition with Strategic Customers Under Vertical Product Differentiation," Management Science, INFORMS, vol. 59(1), pages 84-101, August.
    5. Ayelet Israeli & Fiona Scott-Morton & Jorge Silva-Risso & Florian Zettelmeyer, 2022. "How Market Power Affects Dynamic Pricing: Evidence from Inventory Fluctuations at Car Dealerships," Management Science, INFORMS, vol. 68(2), pages 895-916, February.
    6. Sato, Kimitoshi, 2019. "Price Trends and Dynamic Pricing in Perishable Product Market Consisting of Superior and Inferior Firms," European Journal of Operational Research, Elsevier, vol. 274(1), pages 214-226.
    7. Chua, Geoffrey A. & Mokhlesi, Reza & Sainathan, Arvind, 2017. "Optimal Discounting and Replenishment Policies for Perishable Products," International Journal of Production Economics, Elsevier, vol. 186(C), pages 8-20.
    8. Torsten J. Gerpott & Jan Berends, 2022. "Competitive pricing on online markets: a literature review," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 21(6), pages 596-622, December.
    9. Jian Yang & Yusen Xia & Xiangtong Qi & Yifeng Liu, 2014. "A nonatomic‐game model for timing clearance sales under competition," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(5), pages 365-385, August.
    10. Sato, Kimitoshi & Sawaki, Katsushige, 2013. "A continuous-time dynamic pricing model knowing the competitor’s pricing strategy," European Journal of Operational Research, Elsevier, vol. 229(1), pages 223-229.
    11. Li, Mengmeng & Mizuno, Shinji, 2022. "Comparison of dynamic and static pricing strategies in a dual-channel supply chain with inventory control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    12. Ouardighi, Fouad El & Sim, Jeong Eun & Kim, Bowon, 2016. "Pollution accumulation and abatement policy in a supply chain," European Journal of Operational Research, Elsevier, vol. 248(3), pages 982-996.
    13. Zhao, Xuan & Atkins, Derek & Hu, Ming & Zhang, Wensi, 2017. "Revenue management under joint pricing and capacity allocation competition," European Journal of Operational Research, Elsevier, vol. 257(3), pages 957-970.
    14. 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.
    15. Mak, Vincent & Rapoport, Amnon & Gisches, Eyran J., 2012. "Competitive dynamic pricing with alternating offers: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 75(1), pages 250-264.
    16. Lingxiu Dong & Panos Kouvelis & Zhongjun Tian, 2009. "Dynamic Pricing and Inventory Control of Substitute Products," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 317-339, December.
    17. Jian Yang, 2015. "Analysis of Markovian Competitive Situations using Nonatomic Games," Papers 1510.06813, arXiv.org, revised Apr 2017.

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