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Competitive dynamic pricing with alternating offers: Theory and experiment

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  • Mak, Vincent
  • Rapoport, Amnon
  • Gisches, Eyran J.

Abstract

We propose an equilibrium model of duopolistic dynamic pricing in which a buyer alternates between two sellers for price offers over a finite time horizon. The game ends when the buyer accepts a price offer or the selling season is over, whichever comes first. Previous research (Granot et al., 2007) shows that there are successive markdowns in equilibrium when the buyer is commonly known to be myopic; our analysis suggests that when she is known to be strategic price offers over the entire selling season are constant. Moreover, lengthening the season increases (generally decreases) both sellersʼ profits when the buyer is myopic (strategic). An experimental study largely supports the equilibrium predictions when the buyer is myopic but not when she is strategic. In the latter case, early in the season sellers overprice the good arguably in an attempt to effectively shorten the season and thereby increase their profits.

Suggested Citation

  • Mak, Vincent & Rapoport, Amnon & Gisches, Eyran J., 2012. "Competitive dynamic pricing with alternating offers: Theory and experiment," Games and Economic Behavior, Elsevier, vol. 75(1), pages 250-264.
  • Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:250-264
    DOI: 10.1016/j.geb.2011.08.018
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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. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    4. Ausubel, Lawrence M. & Cramton, Peter & Deneckere, Raymond J., 2002. "Bargaining with incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 50, pages 1897-1945, Elsevier.
    5. Pradeep K. Chintagunta & Vithala R. Rao, 1996. "Pricing Strategies in a Dynamic Duopoly: A Differential Game Model," Management Science, INFORMS, vol. 42(11), pages 1501-1514, November.
    6. R. Preston Mcafee & Thomas Wiseman, 2008. "Capacity Choice Counters the Coase Conjecture," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 317-331.
    7. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(3), pages 489-505.
    8. Joel Sobel, 1984. "The Timing of Sales," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 353-368.
    9. Volker Nocke & Martin Peitz, 2007. "A Theory of Clearance Sales," Economic Journal, Royal Economic Society, vol. 117(522), pages 964-990, July.
    10. Gabriel Bitran & René Caldentey, 2003. "An Overview of Pricing Models for Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 5(3), pages 203-229, August.
    11. James D. Dana Jr., 1998. "Advance-Purchase Discounts and Price Discrimination in Competitive Markets," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 395-422, April.
    12. 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.
    13. Courty, Pascal, 2003. "Ticket Pricing under Demand Uncertainty," Journal of Law and Economics, University of Chicago Press, vol. 46(2), pages 627-652, October.
    14. 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.
    15. 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.
    16. Gale, Ian L & Holmes, Thomas J, 1993. "Advance-Purchase Discounts and Monopoly Allocation of Capacity," American Economic Review, American Economic Association, vol. 83(1), pages 135-146, March.
    17. Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
    18. Marc Dudey, 1992. "Dynamic Edgeworth-Bertrand Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(4), pages 1461-1477.
    19. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    20. Kennan, John & Wilson, Robert, 1993. "Bargaining with Private Information," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 45-104, March.
    21. Lazear, Edward P, 1986. "Retail Pricing and Clearance Sales," American Economic Review, American Economic Association, vol. 76(1), pages 14-32, March.
    22. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    23. 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.
    24. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    25. Joel Sobel & Ichiro Takahashi, 1983. "A Multistage Model of Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 411-426.
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    Cited by:

    1. 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.
    2. Mohammed Al-Hitmi & Salman Ahmad & Atif Iqbal & Sanjeevikumar Padmanaban & Imtiaz Ashraf, 2018. "Selective Harmonic Elimination in a Wide Modulation Range Using Modified Newton–Raphson and Pattern Generation Methods for a Multilevel Inverter," Energies, MDPI, vol. 11(2), pages 1-16, February.
    3. Aoyagi, Masaki & Bhalla, Manaswini & Gunay, Hikmet, 2016. "Social learning and delay in a dynamic model of price competition," Journal of Economic Theory, Elsevier, vol. 165(C), pages 565-600.
    4. Vincent Mak & Amnon Rapoport & Eyran J. Gisches, 2018. "Dynamic Pricing Decisions and Seller-Buyer Interactions under Capacity Constraints," Games, MDPI, vol. 9(1), pages 1-23, February.
    5. Gisches, Eyran J. & Qi, Hang & Becker, William J. & Rapoport, Amnon, 2021. "Strategic retailers and myopic consumers: Competitive pricing of perishable goods," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 92(C).
    6. Ham, Sung H. & He, Chuan & Zhang, Dan, 2022. "The promise and peril of dynamic targeted pricing," International Journal of Research in Marketing, Elsevier, vol. 39(4), pages 1150-1165.
    7. Anton Ovchinnikov & Béatrice Boulu-Reshef & Phillip E. Pfeifer, 2014. "Balancing Acquisition and Retention Spending for Firms with Limited Capacity," Management Science, INFORMS, vol. 60(8), pages 2002-2019, August.
    8. Nur Ayvaz‐Çavdaroğlu & Mürüvvet Büyükboyacı, 2022. "Analyzing multiple pricing decisions for substitutes under stochastic demand: An experiment," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(5), pages 1351-1361, July.
    9. Zhang Wensi & Li Jinlin & Ran Lun, 2014. "Price Increasing Timing of Competitive Perishable Products," Journal of Systems Science and Information, De Gruyter, vol. 2(1), pages 29-37, February.
    10. Mak, Vincent & Rapoport, Amnon & Seale, Darryl A., 2014. "Sequential search by groups with rank-dependent payoffs: An experimental study," Organizational Behavior and Human Decision Processes, Elsevier, vol. 124(2), pages 256-267.

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    More about this item

    Keywords

    Dynamic pricing; Competitive duopoly; Strategic vs. myopic buyers; Experimental economics;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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