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Dynamic Stochastic Inventory Management with Reference Price Effects

Author

Listed:
  • Xin Chen

    (Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801)

  • Peng Hu

    (School of Management, Huazhong University of Science and Technology, Wuhan, China 430074)

  • Stephen Shum

    (College of Business, City University of Hong Kong, Kowloon, Hong Kong)

  • Yuhan Zhang

    (Two Sigma Investments, New York, New York 10013)

Abstract

We analyze the joint inventory and pricing decisions of a firm when demand depends on not only the current selling price but also a memory-based reference price and customers are loss averse. The presence of reference price effect leads to a nonconcave one-period expected revenue in price and reference price. We introduce a transformation technique that allows us to prove under some mild assumptions the optimality of a reference-price-dependent base-stock list-price policy, which is characterized by a base-stock level and a target reference price. In addition, we show that the target reference price is increasing in the reference price, but except in the loss-neutral case, the base-stock level is not monotone in the reference price. We also show that in the steady state of the model with the reference price effect, the optimal price is lower while the optimal base-stock level is higher than their counterparts in the model without the reference price effect.

Suggested Citation

  • Xin Chen & Peng Hu & Stephen Shum & Yuhan Zhang, 2016. "Dynamic Stochastic Inventory Management with Reference Price Effects," Operations Research, INFORMS, vol. 64(6), pages 1529-1536, December.
    • Handle: RePEc:inm:oropre:v:64:y:2016:i:6:p:1529-1536
    DOI: 10.1287/opre.2016.1524
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    References listed on IDEAS

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    17. Kirshner, Samuel N. & Shao, Lusheng, 2018. "Internal and external reference effects in a two-tier supply chain," European Journal of Operational Research, Elsevier, vol. 267(3), pages 944-957.
    18. Li, Mengmeng & Mizuno, Shinji, 2022. "Dynamic pricing and inventory management of a dual-channel supply chain under different power structures," European Journal of Operational Research, Elsevier, vol. 303(1), pages 273-285.
    19. Zhao, Yan & Li, Yanhui & Yao, Qi & Guan, Xu, 2023. "Dual-channel retailing strategy vs. omni-channel buy-online-and-pick-up-in-store behaviors with reference freshness effect," International Journal of Production Economics, Elsevier, vol. 263(C).
    20. Ling Zhao & Anquan Zou & Pin Zhou, 2023. "E‐retailer's dynamic inventory and pricing policy with price‐protection services," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(1), pages 490-501, January.
    21. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    22. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    23. Gurkan, M. Edib & Tunc, Huseyin & Tarim, S. Armagan, 2022. "The joint stochastic lot sizing and pricing problem," Omega, Elsevier, vol. 108(C).
    24. Xiting Gong & Youhua (Frank) Chen & Quan Yuan, 2022. "Coordinating Inventory and Pricing Decisions Under Total Minimum Commitment Contracts," Production and Operations Management, Production and Operations Management Society, vol. 31(2), pages 511-528, February.
    25. Feng, Zhuo & Zhang, Yiwen & Zhang, Shuibo & Song, Jinbo, 2018. "Contracting and renegotiating with a loss-averse private firm in BOT road projects," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 40-72.

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