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Generalized Quantity Competition for Multiple Products and Loss of Efficiency

Author

Listed:
  • Jonathan Kluberg

    (Operations Research Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

  • Georgia Perakis

    (Sloan School of Management, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

Abstract

We study a generalized model of quantity (Cournot) oligopolistic competition. The impact of competition on social surplus and firms' profit is analyzed. Firms produce multiple differentiated products and face production constraints. We compare the social surplus produced by competing firms and by colluding firms with the maximum achievable total surplus in the market. Similarly, we quantify the loss of profit that firms incur by competing instead of colluding. Our goal is to understand how the presence of competition affects the firms and society as a whole, but also to determine what are the key drivers of the inefficiencies that arise due to competition.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:60:y:2012:i:2:p:335-350
    DOI: 10.1287/opre.1110.1017
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    References listed on IDEAS

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    1. Farrell, Joseph & Shapiro, Carl, 1988. "Horizontal Mergers: An Equilibrium Analysis," Department of Economics, Working Paper Series qt0tp305nx, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    2. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    3. Roughgarden, Tim & Tardos, Eva, 2004. "Bounding the inefficiency of equilibria in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 389-403, May.
    4. Schmalensee, Richard, 1989. "Inter-industry studies of structure and performance," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 16, pages 951-1009, Elsevier.
    5. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-789, October.
    6. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    7. Joe S. Bain, 1951. "Relation of Profit Rate to Industry Concentration: American Manufacturing, 1936–1940," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 65(3), pages 293-324.
    8. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    9. Georgia Perakis & Guillaume Roels, 2007. "The Price of Anarchy in Supply Chains: Quantifying the Efficiency of Price-Only Contracts," Management Science, INFORMS, vol. 53(8), pages 1249-1268, August.
    10. Bamon, Rodrigo & Fraysse, Jean, 1985. "Existence of Cournot Equilibrium in Large Markets," Econometrica, Econometric Society, vol. 53(3), pages 587-597, May.
    11. Dansby, Robert E & Willig, Robert D, 1979. "Industry Performance Gradient Indexes," American Economic Review, American Economic Association, vol. 69(3), pages 249-260, June.
    12. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    13. Bernstein, Fernando & Federgruen, Awi, 2004. "Comparative statics, strategic complements and substitutes in oligopolies," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 713-746, September.
    14. 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.
    15. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    16. Encaoua, David & Jacquemin, Alexis, 1980. "Degree of Monopoly, Indices of Concentration and Threat of Entry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 87-105, February.
    17. Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
    18. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 1-26.
    19. José R. Correa & Andreas S. Schulz & Nicolás E. Stier-Moses, 2004. "Selfish Routing in Capacitated Networks," Mathematics of Operations Research, INFORMS, vol. 29(4), pages 961-976, November.
    20. Roberts, John & Sonnenschein, Hugo, 1976. "On the existence of Cournot equilbrium without concave profit functions," Journal of Economic Theory, Elsevier, vol. 13(1), pages 112-117, August.
    21. repec:bla:econom:v:43:y:1976:i:171:p:267-74 is not listed on IDEAS
    22. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    23. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    24. Curry, B & George, K D, 1983. "Industrial Concentration: A Survey," Journal of Industrial Economics, Wiley Blackwell, vol. 31(3), pages 203-255, March.
    25. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    26. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
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    Cited by:

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    2. Tsitsiklis, John N. & Xu, Yunjian, 2014. "Efficiency loss in a Cournot oligopoly with convex market demand," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 46-58.
    3. Chakraborty, Abhishek & Mandal, Prasenjit, 2021. "Channel efficiency and retailer tier dominance in a supply chain with a common manufacturer," European Journal of Operational Research, Elsevier, vol. 294(1), pages 100-121.
    4. Philippe Choné & Laurent Linnemer, 2019. "The quasilinear quadratic utility model: an overview," CESifo Working Paper Series 7640, CESifo.
    5. Kostas Bimpikis & Shayan Ehsani & Rahmi İlkılıç, 2019. "Cournot Competition in Networked Markets," Management Science, INFORMS, vol. 67(6), pages 2467-2481, June.
    6. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    7. Liu, Hengyu & Zheng, Kai, 2024. "Analysis of the Chinese government's subsidy programs to restore the pork supply chain: The case of African swine fever," Omega, Elsevier, vol. 124(C).
    8. 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.
    9. Maria C. Jansen & Osman Y. Özaltın, 2017. "Note on Cournot Competition Under Yield Uncertainty," Manufacturing & Service Operations Management, INFORMS, vol. 19(2), pages 305-308, May.
    10. Randall Berry & Michael Honig & Thành Nguyen & Vijay Subramanian & Rakesh Vohra, 2020. "The Value of Sharing Intermittent Spectrum," Management Science, INFORMS, vol. 66(11), pages 5242-5264, November.
    11. Bazhanov, Andrei & Levin, Yuri & Nediak, Mikhail, 2015. "Quantity Competition in the Presence of Strategic Consumers," MPRA Paper 62075, University Library of Munich, Germany.

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