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Dynamic Price Discrimination with Customer Recognition

Author

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  • Sun Ching-Jen

    (School of Accounting, Economics and Finance, Deakin University, 221 Burwood Highway, Burwood, VIC 3125, Australia)

Abstract

This paper studies a general two-period model of product line pricing with customer recognition. Specifically, we consider a monopolist who can sell vertically differentiated products over two periods to heterogeneous consumers. Each consumer demands one unit of the product in each period. In the second period, the monopolist can condition the price–quality offers on the observed purchasing behavior in the first period. In this setup, the monopolist can price discriminate consumers in two dimensions: by quality as well as by purchase history. We fully characterize the monopolist’s optimal pricing strategy when there are two types of consumers. When the type space is a continuum, we show that there is no fully separating equilibrium, and some properties of the optimal contracts (price–quality pairs) are characterized within the class of partitional perfect Bayesian equilibria.

Suggested Citation

  • Sun Ching-Jen, 2014. "Dynamic Price Discrimination with Customer Recognition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 217-250, January.
    • Handle: RePEc:bpj:bejtec:v:14:y:2014:i:1:p:34:n:15
    DOI: 10.1515/bejte-2013-0048
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    References listed on IDEAS

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    1. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    2. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083, September.
    3. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    4. Stephen W. Salant, 1989. "When is Inducing Self-Selection Suboptimal for a Monopolist?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 391-397.
    5. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521871525, September.
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    Cited by:

    1. Skreta, Vasiliki & Doval, Laura, 2021. "Purchase history and product personalization," CEPR Discussion Papers 15969, C.E.P.R. Discussion Papers.
    2. Chenavaz Régis, 2017. "Better Product Quality May Lead to Lower Product Price," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(1), pages 1-22, January.

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    More about this item

    Keywords

    price discrimination; log supermodularity; log submodularity; behavior-based pricing; bunching;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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