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Dynamic pricing with reference price dependence

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  • Chenavaz, Régis

Abstract

A firm that accounts for consumer behavior sets the selling price of a product considering the reference price of consumers. In the literature, a reference price is usually modeled as depending on past selling prices. That is, past selling prices implicitly constrain the current selling price of a product. In this article, the author explicitly measures this constraint with an optimal control framework. He works on the structural properties of a general demand function, which depends on both selling and reference prices. Analytical results prove the following claims. Adjusting reference prices effects increase the price elasticity of demand, the demand function becoming flatter. Thus, the reference price effect weakens the market power of the firm. Also, the reference price effect constitutes a main driver of the dynamics of the selling price. But contrary to intuition, selling price dynamics does not systematically imitate reference price dynamics.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:ifweej:201622
    DOI: 10.5018/economics-ejournal.ja.2016-22
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    Cited by:

    1. 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.
    2. 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).
    3. Salgado Alfredo, 2022. "Regulation through Reference Prices," Working Papers 2022-05, Banco de México.
    4. Turunç Ömer & Karayalçın Cem, 2024. "Bridging Brand Parity with Insights Regarding Consumer Behavior," Economics - The Open-Access, Open-Assessment Journal, De Gruyter, vol. 18(1), pages 1-10, January.
    5. Alfredo Salgado-Torres, 2024. "Regulation through reference prices/Regulación a través de precios de referencia," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 39(1), pages 159-201.
    6. 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.

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    More about this item

    Keywords

    dynamic pricing; behavioral pricing; reference price dependence; 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
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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