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Dynamic Pricing Competition with Strategic Customers Under Vertical Product Differentiation

Author

Listed:
  • Qian Liu

    (Department of Industrial Engineering and Logistics Management, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong)

  • Dan Zhang

    (Leeds School of Business, University of Colorado at Boulder, Boulder, Colorado 80309)

Abstract

We consider dynamic pricing competition between two firms offering vertically differentiated products to strategic customers who are intertemporal utility maximizers. We show that price skimming arises as the unique pure-strategy Markov perfect equilibrium in the game under a simple condition. Our results highlight the asymmetric effect of strategic customer behavior on quality-differentiated firms. Even though the profit of either firm decreases as customers become more strategic, the low-quality firm suffers substantially more than the high-quality firm. Furthermore, we show that unilateral commitment to static pricing by either firm generally improves profits of both firms. Interestingly, both firms enjoy higher profit lifts when the high-quality firm commits rather than when the low-quality firm commits. This paper was accepted by Yossi Aviv, operations management.

Suggested Citation

  • Qian Liu & Dan Zhang, 2013. "Dynamic Pricing Competition with Strategic Customers Under Vertical Product Differentiation," Management Science, INFORMS, vol. 59(1), pages 84-101, August.
    • Handle: RePEc:inm:ormnsc:v:59:y:2013:i:1:p:84-101
    DOI: 10.1287/mnsc.1120.1564
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    References listed on IDEAS

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    1. Gérard P. Cachon & Robert Swinney, 2009. "Purchasing, Pricing, and Quick Response in the Presence of Strategic Consumers," Management Science, INFORMS, vol. 55(3), pages 497-511, March.
    2. Qian Liu & Garrett J. van Ryzin, 2008. "Strategic Capacity Rationing to Induce Early Purchases," Management Science, INFORMS, vol. 54(6), pages 1115-1131, June.
    3. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    4. Victor Martínez-de-Albéniz & Kalyan Talluri, 2011. "Dynamic Price Competition with Fixed Capacities," Management Science, INFORMS, vol. 57(6), pages 1078-1093, June.
    5. Dasu, Sriram & Tong, Chunyang, 2010. "Dynamic pricing when consumers are strategic: Analysis of posted and contingent pricing schemes," European Journal of Operational Research, Elsevier, vol. 204(3), pages 662-671, August.
    6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    7. Kinshuk Jerath & Serguei Netessine & Senthil K. Veeraraghavan, 2010. "Revenue Management with Strategic Customers: Last-Minute Selling and Opaque Selling," Management Science, INFORMS, vol. 56(3), pages 430-448, March.
    8. Guoming Lai & Laurens G. Debo & Katia Sycara, 2010. "Buy Now and Match Later: Impact of Posterior Price Matching on Profit with Strategic Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 33-55, December.
    9. Xiaowei Xu & Wallace J. Hopp, 2006. "A Monopolistic and Oligopolistic Stochastic Flow Revenue Management Model," Operations Research, INFORMS, vol. 54(6), pages 1098-1109, December.
    10. David Besanko & Wayne L. Winston, 1990. "Optimal Price Skimming by a Monopolist Facing Rational Consumers," Management Science, INFORMS, vol. 36(5), pages 555-567, May.
    11. Yossi Aviv & Amit Pazgal, 2008. "Optimal Pricing of Seasonal Products in the Presence of Forward-Looking Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 339-359, December.
    12. Butz, David A, 1990. "Durable-Good Monopoly and Best-Price Provisions," American Economic Review, American Economic Association, vol. 80(5), pages 1062-1076, December.
    13. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    14. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    15. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    16. Rui Yin & Yossi Aviv & Amit Pazgal & Christopher S. Tang, 2009. "Optimal Markdown Pricing: Implications of Inventory Display Formats in the Presence of Strategic Customers," Management Science, INFORMS, vol. 55(8), pages 1391-1408, August.
    17. Lin, Kyle Y. & Sibdari, Soheil Y., 2009. "Dynamic price competition with discrete customer choices," European Journal of Operational Research, Elsevier, vol. 197(3), pages 969-980, September.
    18. Xuanming Su & Fuqiang Zhang, 2008. "Strategic Customer Behavior, Commitment, and Supply Chain Performance," Management Science, INFORMS, vol. 54(10), pages 1759-1773, October.
    19. Yuri Levin & Jeff McGill & Mikhail Nediak, 2009. "Dynamic Pricing in the Presence of Strategic Consumers and Oligopolistic Competition," Management Science, INFORMS, vol. 55(1), pages 32-46, January.
    20. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
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