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Dynamic pricing for inventories with reference price effects

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  • Chenavaz, Régis
  • Paraschiv, Corina

Abstract

This article presents a dynamic pricing model of a retailer selling an inventory, accounting for consumer behavior. The authors propose an optimal control model, maximizing the intertemporal profit with consumers sensitive to the selling price and to a reference price. The optimal dynamic pricing policy is solved with Pontryagin's maximum principle with a structural (general) demand function. The authors obtain an original pricing rule, which explicitly accounts for the impact of price and inventory on future profits. The dynamics of price do not have to imitate the dynamics of the reference price. Instead, the dynamics of price are tied to opposing effects linked to this reference price. The authors also discuss managerial implications with regards to behavioral pricing policies.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:ifweej:201864
    DOI: 10.5018/economics-ejournal.ja.2018-64
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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.
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    13. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
    14. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
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    17. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2017. "Optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand," European Journal of Operational Research, Elsevier, vol. 262(1), pages 136-150.
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    Cited by:

    1. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2021. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Dynamic Games and Applications, Springer, vol. 11(3), pages 463-490, September.
    2. Chenavaz, Régis Y. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2020. "Modeling the impact of product quality on dynamic pricing and advertising policies," European Journal of Operational Research, Elsevier, vol. 284(3), pages 990-1001.
    3. 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).
    4. R. Schlosser & K. Richly, 2019. "Dynamic pricing under competition with data-driven price anticipations and endogenous reference price effects," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(6), pages 451-464, December.
    5. 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.
    6. Florian Steinbrenner & Jana Turčínková, 2021. "The Value-Based Pricing Determination Matrix for Pricing Method Selection," Central European Business Review, Prague University of Economics and Business, vol. 2021(4), pages 99-123.

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    More about this item

    Keywords

    Dynamic pricing; inventory; reference price; behavioral pricing; optimal control;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics
    • M37 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Advertising

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