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On the Relationship Between Quantity Precommitment and Cournot Games

Author

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  • Amr Farahat

    () (Olin Business School, Washington University in St. Louis, St. Louis, Missouri 63130)

  • Woonghee Tim Huh

    () (Sauder School of Business, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada)

  • Hongmin Li

    () (W.P. Carey School of Business, Arizona State University, Tempe, Arizona 85287)

Abstract

We study a two-stage deterministic differentiated-product oligopoly competition game, called the quantity precommitment game, in which firms compete on quantity in the first stage and then compete on price in the second stage. We compare this game with a single-stage Cournot game, in which firms compete on quantity only and prices are set to clear the market. We show that any equilibrium of the quantity precommitment game is an equilibrium of the Cournot game under certain conditions that allow for commonly used demand functions and general spill models. Our approach yields insight into key properties that enable this relationship to hold.

Suggested Citation

  • Amr Farahat & Woonghee Tim Huh & Hongmin Li, 2019. "On the Relationship Between Quantity Precommitment and Cournot Games," Operations Research, INFORMS, vol. 67(1), pages 109-122, January.
  • Handle: RePEc:inm:oropre:v:67:y:2019:i:1:p:109-122
    DOI: 10.1287/opre.2018.1760
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    File URL: https://doi.org/10.1287/opre.2018.1760
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    References listed on IDEAS

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    1. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    2. Anne T. Coughlan & Birger Wernerfelt, 1989. "On Credible Delegation by Oligopolists: A Discussion of Distribution Channel Management," Management Science, INFORMS, vol. 35(2), pages 226-239, February.
    3. Birger Wernerfelt & Cynthia A. Montgomery, 1986. "What is an Attractive Industry?," Management Science, INFORMS, vol. 32(10), pages 1223-1230, October.
    4. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    5. Georgia Perakis & Wei Sun, 2014. "Efficiency Analysis of Cournot Competition in Service Industries with Congestion," Management Science, INFORMS, vol. 60(11), pages 2684-2700, November.
    6. Rajeev K. Tyagi, 1999. "On the Effects of Downstream Entry," Management Science, INFORMS, vol. 45(1), pages 59-73, January.
    7. Dorothée Honhon & Vishal Gaur & Sridhar Seshadri, 2010. "Assortment Planning and Inventory Decisions Under Stockout-Based Substitution," Operations Research, INFORMS, vol. 58(5), pages 1364-1379, October.
    8. Wei-yu Kevin Chiang & Dilip Chhajed & James D. Hess, 2003. "Direct Marketing, Indirect Profits: A Strategic Analysis of Dual-Channel Supply-Chain Design," Management Science, INFORMS, vol. 49(1), pages 1-20, January.
    9. A. Gürhan Kök & Marshall L. Fisher, 2007. "Demand Estimation and Assortment Optimization Under Substitution: Methodology and Application," Operations Research, INFORMS, vol. 55(6), pages 1001-1021, December.
    10. Ravi Anupindi & Li Jiang, 2008. "Capacity Investment Under Postponement Strategies, Market Competition, and Demand Uncertainty," Management Science, INFORMS, vol. 54(11), pages 1876-1890, November.
    11. Serguei Netessine & Nils Rudi, 2003. "Centralized and Competitive Inventory Models with Demand Substitution," Operations Research, INFORMS, vol. 51(2), pages 329-335, April.
    12. James W. Friedman, 1988. "On the Strategic Importance of Prices versus Quantities," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 607-622, Winter.
    13. Leonard F. Herk, 1993. "Consumer Choice and Cournot Behavior in Capacity-Constrained Duopoly Competition," RAND Journal of Economics, The RAND Corporation, vol. 24(3), pages 399-417, Autumn.
    14. Vivek F. Farias & Srikanth Jagabathula & Devavrat Shah, 2013. "A Nonparametric Approach to Modeling Choice with Limited Data," Management Science, INFORMS, vol. 59(2), pages 305-322, December.
    15. Gregor Zöttl, 2010. "A Framework of Peak Load Pricing with Strategic Firms," Operations Research, INFORMS, vol. 58(6), pages 1637-1649, December.
    16. Nalin Kulatilaka & Enrico C. Perotti, 1998. "Strategic Growth Options," Management Science, INFORMS, vol. 44(8), pages 1021-1031, August.
    17. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
    18. Jonathan Kluberg & Georgia Perakis, 2012. "Generalized Quantity Competition for Multiple Products and Loss of Efficiency," Operations Research, INFORMS, vol. 60(2), pages 335-350, April.
    19. Moreno, Diego & Ubeda, Luis, 2006. "Capacity precommitment and price competition yield the Cournot outcome," Games and Economic Behavior, Elsevier, vol. 56(2), pages 323-332, August.
    20. Siddharth Mahajan & Garrett van Ryzin, 2001. "Inventory Competition Under Dynamic Consumer Choice," Operations Research, INFORMS, vol. 49(5), pages 646-657, October.
    21. Goodwin, David & Mestelman, Stuart, 2010. "A note comparing the capacity setting performance of the Kreps-Scheinkman duopoly model with the Cournot duopoly model in a laboratory setting," International Journal of Industrial Organization, Elsevier, vol. 28(5), pages 522-525, September.
    22. Byung-Do Kim & Mengze Shi & Kannan Srinivasan, 2004. "Managing Capacity Through Reward Programs," Management Science, INFORMS, vol. 50(4), pages 503-520, April.
    23. Subramanian Balachander, 2001. "Warranty Signalling and Reputation," Management Science, INFORMS, vol. 47(9), pages 1282-1289, September.
    24. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
    25. Soo-Haeng Cho, 2014. "Horizontal Mergers in Multitier Decentralized Supply Chains," Management Science, INFORMS, vol. 60(2), pages 356-379, February.
    26. Albert Y. Ha & Shilu Tong, 2008. "Contracting and Information Sharing Under Supply Chain Competition," Management Science, INFORMS, vol. 54(4), pages 701-715, April.
    27. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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