IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v59y2013i1p84-101.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1120.1564
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.1120.1564?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    3. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    4. Qian Liu & Garrett J. van Ryzin, 2008. "Strategic Capacity Rationing to Induce Early Purchases," Management Science, INFORMS, vol. 54(6), pages 1115-1131, June.
    5. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    6. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    7. Victor Martínez-de-Albéniz & Kalyan Talluri, 2011. "Dynamic Price Competition with Fixed Capacities," Management Science, INFORMS, vol. 57(6), pages 1078-1093, June.
    8. 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.
    9. 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.
    10. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    11. 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.
    12. 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.
    13. 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.
    14. Xuanming Su & Fuqiang Zhang, 2008. "Strategic Customer Behavior, Commitment, and Supply Chain Performance," Management Science, INFORMS, vol. 54(10), pages 1759-1773, October.
    15. 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.
    16. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    17. 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.
    18. 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.
    19. 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.
    20. Butz, David A, 1990. "Durable-Good Monopoly and Best-Price Provisions," American Economic Review, American Economic Association, vol. 80(5), pages 1062-1076, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Adam J. Mersereau & Dan Zhang, 2012. "Markdown Pricing with Unknown Fraction of Strategic Customers," Manufacturing & Service Operations Management, INFORMS, vol. 14(3), pages 355-370, July.
    2. Mustafa O. Kabul & Ali K. Parlaktürk, 2019. "The Value of Commitments When Selling to Strategic Consumers: A Supply Chain Perspective," Management Science, INFORMS, vol. 65(10), pages 4754-4770, October.
    3. Chang Hwan Lee & Tsan‐Ming Choi & T.C.E. Cheng, 2015. "Selling to strategic and loss‐averse consumers: Stocking, procurement, and product design policies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(6), pages 435-453, September.
    4. Dong, Junfeng & Wu, Desheng Dash, 2019. "Two-period pricing and quick response with strategic customers," International Journal of Production Economics, Elsevier, vol. 215(C), pages 165-173.
    5. Hou, Lihua & Nie, Tengfei & Zhang, Jianghua, 2024. "Pricing and inventory strategies for perishable products in a competitive market considering strategic consumers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    6. Yen-Ting Lin & Ali K. Parlaktürk & Jayashankar M. Swaminathan, 2018. "Are Strategic Customers Bad for a Supply Chain?," Manufacturing & Service Operations Management, INFORMS, vol. 20(3), pages 481-497, July.
    7. Arian Aflaki & Pnina Feldman & Robert Swinney, 2019. "Becoming Strategic: Endogenous Consumer Time Preferences and Multiperiod Pricing," Operations Research, INFORMS, vol. 68(4), pages 1116-1131, July.
    8. Yossi Aviv & Mike Mingcheng Wei & Fuqiang Zhang, 2019. "Responsive Pricing of Fashion Products: The Effects of Demand Learning and Strategic Consumer Behavior," Management Science, INFORMS, vol. 65(7), pages 2982-3000, July.
    9. Vincent Mak & Amnon Rapoport & Eyran J. Gisches & Jiaojie Han, 2014. "Purchasing Scarce Products Under Dynamic Pricing: An Experimental Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 425-438, July.
    10. Cuihong Li & Fuqiang Zhang, 2013. "Advance Demand Information, Price Discrimination, and Preorder Strategies," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 57-71, September.
    11. Song, Yanan & Zhao, Xiaobo, 2016. "Strategic customer behavior facing possible stockout: An experimental study," International Journal of Production Economics, Elsevier, vol. 180(C), pages 57-67.
    12. Ali K. Parlaktürk, 2012. "The Value of Product Variety When Selling to Strategic Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 14(3), pages 371-385, July.
    13. Liu, Jingchen & Zhai, Xin & Chen, Lihua, 2018. "The interaction between product rollover strategy and pricing scheme," International Journal of Production Economics, Elsevier, vol. 201(C), pages 116-135.
    14. Negin Golrezaei & Hamid Nazerzadeh & Ramandeep Randhawa, 2020. "Dynamic Pricing for Heterogeneous Time-Sensitive Customers," Manufacturing & Service Operations Management, INFORMS, vol. 22(3), pages 562-581, May.
    15. Fei Gao & Xuanming Su, 2017. "Manufacturing & Service Operations Management," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 84-98, February.
    16. Liu, Jingchen & Zhai, Xin & Chen, Lihua, 2019. "Optimal pricing strategy under trade-in program in the presence of strategic consumers," Omega, Elsevier, vol. 84(C), pages 1-17.
    17. Gérard P. Cachon, 2020. "A Research Framework for Business Models: What Is Common Among Fast Fashion, E-Tailing, and Ride Sharing?," Management Science, INFORMS, vol. 66(3), pages 1172-1192, March.
    18. Fei Gao & Xuanming Su, 2017. "Omnichannel Retail Operations with Buy-Online-and-Pick-up-in-Store," Management Science, INFORMS, vol. 63(8), pages 2478-2492, August.
    19. Yiangos Papanastasiou & Nicos Savva, 2017. "Dynamic Pricing in the Presence of Social Learning and Strategic Consumers," Management Science, INFORMS, vol. 63(4), pages 919-939, April.
    20. Ken Moon & Kostas Bimpikis & Haim Mendelson, 2018. "Randomized Markdowns and Online Monitoring," Management Science, INFORMS, vol. 64(3), pages 1271-1290, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:59:y:2013:i:1:p:84-101. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.