IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00975002.html
   My bibliography  Save this paper

Rationalizability and Efficiency in an Asymmetric Cournot Oligopoly

Author

Listed:
  • Gabriel Desgranges

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Stéphane Gauthier

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper studies rationalizability in a linear asymmetric Cournot oligopoly with a unique Nash equilibrium. It shows that mergers favors uniqueness of the rationalizable outcome. When requires uniqueness of the rationalizable outcome maximization of consumers' surplus may involve a symmetric oligopoly with few firms. We interpret uniqueness of the rationalizable outcome as favoring a dampening of strategic ‘coordination' uncertainty. An illustration to the merger between Delta Air Lines and Northwest shows that a reallocation of 1% of market share from a small carrier to a larger one has implied a lower production volatility over time, yielding a 1.5% decrease in the coefficient of variation of number of passengers.

Suggested Citation

  • Gabriel Desgranges & Stéphane Gauthier, 2015. "Rationalizability and Efficiency in an Asymmetric Cournot Oligopoly," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00975002, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00975002
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00975002v3
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00975002v3/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gugler, Klaus & Mueller, Dennis C. & Yurtoglu, B. Burcin & Zulehner, Christine, 2003. "The effects of mergers: an international comparison," International Journal of Industrial Organization, Elsevier, vol. 21(5), pages 625-653, May.
    2. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
    3. ,, 2013. "Rationalizable conjectural equilibrium: A framework for robust predictions," Theoretical Economics, Econometric Society, vol. 8(2), May.
    4. Federico Ciliberto & Elie Tamer, 2009. "Market Structure and Multiple Equilibria in Airline Markets," Econometrica, Econometric Society, vol. 77(6), pages 1791-1828, November.
    5. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    6. Amir, R., 1996. "Cournot oligopoly and theory of supermodular games," LIDAM Reprints CORE 1228, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
    8. Robert Town & Douglas Wholey & Roger Feldman & Lawton R. Burns, 2006. "The Welfare Consequences of Hospital Mergers," NBER Working Papers 12244, National Bureau of Economic Research, Inc.
    9. Joseph Farrell & Carl Shapiro, 1990. "Asset Ownership and Market Structure in Oligopoly," RAND Journal of Economics, The RAND Corporation, vol. 21(2), pages 275-292, Summer.
    10. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
    11. Silke Januszewski Forbes & Mara Lederman, 2009. "Adaptation and Vertical Integration in the Airline Industry," American Economic Review, American Economic Association, vol. 99(5), pages 1831-1849, December.
    12. Lucas W. Davis & Catherine Wolfram, 2012. "Deregulation, Consolidation, and Efficiency: Evidence from US Nuclear Power," American Economic Journal: Applied Economics, American Economic Association, vol. 4(4), pages 194-225, October.
    13. Kim, E Han & Singal, Vijay, 1993. "Mergers and Market Power: Evidence from the Airline Industry," American Economic Review, American Economic Association, vol. 83(3), pages 549-569, June.
    14. J. Durieu & P. Solal & O. Tercieux, 2011. "Adaptive learning and p-best response sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 735-747, November.
    15. Guesnerie, Roger, 1992. "An Exploration of the Eductive Justifications of the Rational-Expectations Hypothesis," American Economic Review, American Economic Association, vol. 82(5), pages 1254-1278, December.
    16. Rubinstein Ariel & Wolinsky Asher, 1994. "Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability," Games and Economic Behavior, Elsevier, vol. 6(2), pages 299-311, March.
    17. Guesnerie, Roger, 1993. "Theoretical tests of the rational expectations hypothesis in economic dynamical models," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 847-864.
    18. Hommes, Cars & Wagener, Florian, 2010. "Does eductive stability imply evolutionary stability?," Journal of Economic Behavior & Organization, Elsevier, vol. 75(1), pages 25-39, July.
    19. Borenstein, Severin & Rose, Nancy L, 1994. "Competition and Price Dispersion in the U.S. Airline Industry," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 653-683, August.
    20. Börgers, Tilman & Janssen, Maarten C.W., 1995. "On the dominance solvability of large cournot games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 297-321.
    21. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    22. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    23. Desgranges, Gabriel & Ghosal, Sayantan, 2010. "P-Stable Equilibrium: Definition And Some Properties," Economic Research Papers 270772, University of Warwick - Department of Economics.
    24. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    25. Borenstein, Severin, 1990. "Airline Mergers, Airport Dominance, and Market Power," American Economic Review, American Economic Association, vol. 80(2), pages 400-404, May.
    26. Federico Ciliberto & Jonathan W. Williams, 2010. "Limited Access to Airport Facilities and Market Power in the Airline Industry," Journal of Law and Economics, University of Chicago Press, vol. 53(3), pages 467-495.
    27. Basu, Kaushik, 1992. "A characterization of the class of rationalizable equilibria of oligopoly games," Economics Letters, Elsevier, vol. 40(2), pages 187-191, October.
    28. Marx, Leslie M., 1999. "Adaptive Learning and Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 26(2), pages 253-278, January.
    29. Kristopher S. Gerardi & Adam Hale Shapiro, 2009. "Does Competition Reduce Price Dispersion? New Evidence from the Airline Industry," Journal of Political Economy, University of Chicago Press, vol. 117(1), pages 1-37, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Philippe Gagnepain & Stéphane Gauthier, 2021. "Strategic uncertainty and market size: An illustration on the Wright amendment," Working Papers halshs-03359597, HAL.
    2. Richard Cornes & Luciana C. Fiorini & Wilfredo L. Maldonado, 2021. "Expectational stability in aggregative games," Journal of Evolutionary Economics, Springer, vol. 31(1), pages 235-249, January.
    3. Alexandra Belova & Philippe Gagnepain & Stéphane Gauthier, 2020. "An assessment of Nash equilibria in the airline industry," PSE Working Papers halshs-02932780, HAL.

    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. Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing stability properties in games with strategic substitutes," Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
    2. Zimper, Alexander, 2004. "Dominance-Solvable Lattice Games," Sonderforschungsbereich 504 Publications 04-18, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    3. Alexandra Belova & Philippe Gagnepain & Stéphane Gauthier, 2020. "An assessment of Nash equilibria in the airline industry," PSE Working Papers halshs-02932780, HAL.
    4. Amir, Rabah & Diamantoudi, Effrosyni & Xue, Licun, 2009. "Merger performance under uncertain efficiency gains," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 264-273, March.
    5. Gil, Ricard & Kim, Myongjin, 2021. "Does competition increase quality? Evidence from the US airline industry," International Journal of Industrial Organization, Elsevier, vol. 77(C).
    6. Anne-Christine Barthel & Eric Hoffmann, 2019. "Rationalizability and learning in games with strategic heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 565-587, April.
    7. Yan Chen & Robert Gazzale, 2004. "When Does Learning in Games Generate Convergence to Nash Equilibria? The Role of Supermodularity in an Experimental Setting," American Economic Review, American Economic Association, vol. 94(5), pages 1505-1535, December.
    8. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899.
    9. Chao Ma, 2019. "Does capital structure differently affect incumbents' responses to entry threat and actual entry?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 28(4), pages 585-613, November.
    10. Börgers, Tilman & Janssen, Maarten C.W., 1995. "On the dominance solvability of large cournot games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 297-321.
    11. Kerkemezos, Yannis & Pennings, Enrico & Karreman, Bas & van Reeven, Peran, 2023. "Price asymmetries and the path dependence of market power: Evidence from the U.S. airline industry," International Journal of Industrial Organization, Elsevier, vol. 87(C).
    12. Zimper, Alexander, 2006. "Uniqueness conditions for strongly point-rationalizable solutions to games with metrizable strategy sets," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 729-751, September.
    13. Vives, Xavier, 2005. "Games with strategic complementarities: New applications to industrial organization," International Journal of Industrial Organization, Elsevier, vol. 23(7-8), pages 625-637, September.
    14. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
    15. Uttiya Paul & Tarun Sabarwal, 2023. "Directional monotone comparative statics in function spaces," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 153-169, April.
    16. Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    17. Plan, Asaf, 2023. "Symmetry in n-player games," Journal of Economic Theory, Elsevier, vol. 207(C).
    18. Lambertini, Luca & Mantovani, Andrea, 2009. "Process and product innovation by a multiproduct monopolist: A dynamic approach," International Journal of Industrial Organization, Elsevier, vol. 27(4), pages 508-518, July.
    19. Rabah Amir & Filomena Garcia & Malgorzata Knauff, 2006. "Endogenous Heterogeneity in Strategic Models: Symmetry-breaking via Strategic Substitutes and Nonconcavities," Working Papers Department of Economics 2006/29, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    20. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.

    More about this item

    Keywords

    rationalizability; stability; airline industry; competition policy; Cournot oligopoly; dominance solvability; efficiency;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • L40 - Industrial Organization - - Antitrust Issues and Policies - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:hal:cesptp:halshs-00975002. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.