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Existence and characterization of optimal dynamic pricing strategies with reference-price effects

Author

Listed:
  • Bertrand Crettez

    (Université Panthéon-Assas, Paris II, CRED)

  • Naila Hayek

    (Université Panthéon-Assas, Paris II, CRED)

  • Georges Zaccour

    (GERAD, HEC Montréal)

Abstract

In this paper, we revisit the problem of existence of an optimal dynamic pricing strategy when the demand depends on a reference price. Using alternative assumptions and technique to those typically used in the literature, we show the existence of a unique pricing policy parametrized in the initial value of the reference price. Our main results are as follows: if this value is low enough, then the best option is to implement a penetration pricing. If it is high enough, then price skimming is optimal. If the initial reference price has an intermediate value, then constant pricing throughout the planning horizon is optimal.

Suggested Citation

  • Bertrand Crettez & Naila Hayek & Georges Zaccour, 2020. "Existence and characterization of optimal dynamic pricing strategies with reference-price effects," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 441-459, June.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00645-w
    DOI: 10.1007/s10100-019-00645-w
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    References listed on IDEAS

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    1. Chenavaz, Régis, 2016. "Dynamic pricing with reference price dependence," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 10, pages 1-17.
    2. Chenavaz, Régis & Paraschiv, Corina, 2018. "Dynamic pricing for inventories with reference price effects," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-16.
    3. Wenjie Bi & Guo Li & Mengqi Liu, 2017. "Dynamic pricing with stochastic reference effects based on a finite memory window," International Journal of Production Research, Taylor & Francis Journals, vol. 55(12), pages 3331-3348, June.
    4. Zhenyu Hu & Xin Chen & Peng Hu, 2016. "Technical Note—Dynamic Pricing with Gain-Seeking Reference Price Effects," Operations Research, INFORMS, vol. 64(1), pages 150-157, February.
    5. Richard H. Thaler, 2008. "Mental Accounting and Consumer Choice," Marketing Science, INFORMS, vol. 27(1), pages 15-25, 01-02.
    6. Zizhuo Wang, 2016. "Technical Note—Intertemporal Price Discrimination via Reference Price Effects," Operations Research, INFORMS, vol. 64(2), pages 290-296, April.
    7. Martín-Herrán, Guiomar & Taboubi, Sihem & Zaccour, Georges, 2012. "Dual role of price and myopia in a marketing channel," European Journal of Operational Research, Elsevier, vol. 219(2), pages 284-295.
    8. Eric A. Greenleaf, 1995. "The Impact of Reference Price Effects on the Profitability of Price Promotions," Marketing Science, INFORMS, vol. 14(1), pages 82-104.
    9. Daniel S. Putler, 1992. "Incorporating Reference Price Effects into a Theory of Consumer Choice," Marketing Science, INFORMS, vol. 11(3), pages 287-309.
    10. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2003. "Explicit Solutions of Optimization Models and Differential Games with Nonsmooth (Asymmetric) Reference-Price Effects," Operations Research, INFORMS, vol. 51(5), pages 721-734, October.
    11. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    12. 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.
    13. Winer, Russell S, 1986. "A Reference Price Model of Brand Choice for Frequently Purchased Products," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 13(2), pages 250-256, September.
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    3. Karol Szomolanyi & Martin Lukacik & Adriana Lukacikova, 2022. "Estimation of asymmetric responses of U.S. retail fuel prices to changes in input prices based on a linear exponential adjustment cost approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(2), pages 757-779, June.
    4. Anton, Ramona & Chenavaz, Régis Y. & Paraschiv, Corina, 2023. "Dynamic pricing, reference price, and price-quality relationship," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
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    6. Martín-Herrán, Guiomar & Sigué, Simon Pierre, 2023. "An integrative framework of cooperative advertising with reference price effects," Journal of Retailing and Consumer Services, Elsevier, vol. 70(C).

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