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Ranking Bertrand, Cournot and Supply Function Equilibria in Oligopoly

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  • F. Delbono
  • L. Lambertini

Abstract

We show that the standard argument according to which supply function equilibria rank intermediate between Bertrand and Cournot equilibria may be reversed. We prove this result within a static oligopolistic game in which both supply function competition and Cournot competition yield a unique Nash equilibrium, whereas price setting yields a continuum of Nash equilibria. There are parameter regions in which Bertrand profits are higher than Cournot ones, with the latter being higher than in the supply function equilibrium. Such reversal of the typical ranking occurs when price-setting mimics collusion. We then show that the reversal in profits is responsible for a reversal in the welfare performance of the industry.

Suggested Citation

  • F. Delbono & L. Lambertini, 2015. "Ranking Bertrand, Cournot and Supply Function Equilibria in Oligopoly," Working Papers wp1000, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp1000
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    References listed on IDEAS

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    1. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    2. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    3. Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
    4. Holmberg, Pär & Newbery, David, 2010. "The supply function equilibrium and its policy implications for wholesale electricity auctions," Utilities Policy, Elsevier, vol. 18(4), pages 209-226, December.
    5. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    6. Delgado, Juan & Moreno, Diego, 2004. "Coalition-proof supply function equilibria in oligopoly," Journal of Economic Theory, Elsevier, vol. 114(2), pages 231-254, February.
    7. Willems, Bert & Rumiantseva, Ina & Weigt, Hannes, 2009. "Cournot versus Supply Functions: What does the data tell us?," Energy Economics, Elsevier, vol. 31(1), pages 38-47, January.
    8. Bolle, Friedel, 2001. "Competition with supply and demand functions," Energy Economics, Elsevier, vol. 23(3), pages 253-277, May.
    9. Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June.
    10. Piercarlo Zanchettin, 2006. "Differentiated Duopoly with Asymmetric Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 999-1015, December.
    11. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2013. "Supply function equilibria: Step functions and continuous representations," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1509-1551.
    12. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
    13. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-1172, September.
    14. Ciarreta, Aitor & Gutierrez-Hita, Carlos, 2006. "Supply function vs. quantity competition in supergames," International Journal of Industrial Organization, Elsevier, vol. 24(4), pages 773-783, July.
    15. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
    16. Delbono, Flavio & Lambertini, Luca, 2015. "On the properties of linear supply functions in oligopoly," Economics Letters, Elsevier, vol. 136(C), pages 22-24.
    17. Krishnendu Ghosh Dastidar, 2011. "Existence of Bertrand equilibrium revisited," International Journal of Economic Theory, The International Society for Economic Theory, vol. 7(4), pages 331-350, December.
    18. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
    19. Flavio Delbono & Luca Lambertini, 2016. "Bertrand versus Cournot with convex variable costs," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(1), pages 73-83, April.
    20. 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.
    21. Green, Richard J & Newbery, David M, 1992. "Competition in the British Electricity Spot Market," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 929-953, October.
    22. Giuseppe Francesco Gori & Luca Lambertini & Alessandro Tampieri, 2014. "Trade costs, FDI incentives, and the intensity of price competition," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(4), pages 371-385, December.
    23. Menezes, Flavio M. & Quiggin, John, 2012. "More competitors or more competition? Market concentration and the intensity of competition," Economics Letters, Elsevier, vol. 117(3), pages 712-714.
    24. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
    25. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    26. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    27. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
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    Cited by:

    1. Delbono, Flavio & Lambertini, Luca, 2018. "Choosing roles under supply function competition," Energy Economics, Elsevier, vol. 71(C), pages 83-88.
    2. Keita Yamane, 2020. "Market Structure, Competition, and Optimal Privatization: a Linear Supply Function Approach," Journal of Industry, Competition and Trade, Springer, vol. 20(3), pages 605-615, September.
    3. Annicchiarico, Barbara & Correani, Luca & Di Dio, Fabio, 2018. "Environmental policy and endogenous market structure," Resource and Energy Economics, Elsevier, vol. 52(C), pages 186-215.
    4. Takauchi, Kazuhiro & Mizuno, Tomomichi, 2020. "Endogenous transport price, R&D spillovers, and trade," MPRA Paper 102391, University Library of Munich, Germany.
    5. Gong, Chengzhu & Wu, Desheng & Gong, Nianjiao & Qi, Rui, 2020. "Multi-agent mixed complementary simulation of natural gas upstream market liberalization in China," Energy, Elsevier, vol. 200(C).
    6. Keita Yamane, 2018. "Mixed duopoly and the indirect effect in linear supply function competition," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 45(4), pages 519-532, December.
    7. Ismail Saglam, 2018. "Ranking Supply Function and Cournot Equilibria in a Differentiated Product Duopoly with Demand Uncertainty," Games, MDPI, Open Access Journal, vol. 9(3), pages 1-13, August.
    8. Motalleb, Mahdi & Siano, Pierluigi & Ghorbani, Reza, 2019. "Networked Stackelberg Competition in a Demand Response Market," Applied Energy, Elsevier, vol. 239(C), pages 680-691.

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    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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