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Rationalizability and Efficiency in an Asymmetric Cournot Oligopoly

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  • Gabriel Desgranges

    ()
    (THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

  • Stéphane Gauthier

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

Abstract

We study rationalizable solutions in a linear asymmetric Cournot oligopoly. We show that symmetry across firms favors multiplicity of rationalizable solutions: A merger (implying a greater asymmetry across firms) makes out-of-equilibrium behavior less likely and should dampen &lquo;coordination&rquo; volatility. The market structure maximizing consumers' surplus at a rationalizable solution is not always the competitive one: This may be a symmetric oligopoly with few firms. An empirical illustration to the airlines industry shows that a reallocation of 1% of market share from a small carrier to a larger one yields a 1.3% decrease in volatility, measured by the within carrier standard error of the number of passengers.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00975002.

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Date of creation: Mar 2014
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Handle: RePEc:hal:cesptp:halshs-00975002

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Related research

Keywords: Competition policy; Cournot oligopoly; dominance solvability; efficiency; rationalizability; stability; airline industry;

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References

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  1. 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 549-69, June.
  2. Marx, Leslie M., 1999. "Adaptive Learning and Iterated Weak Dominance," Games and Economic Behavior, Elsevier, vol. 26(2), pages 253-278, January.
  3. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
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  9. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  10. 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.
  11. 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.
  12. 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.
  13. Desgranges, Gabriel & Ghosal, Sayantan, 2010. "P-Stable Equilibrium : Definition and Some Properties," The Warwick Economics Research Paper Series (TWERPS) 952, University of Warwick, Department of Economics.
  14. Basu, Kaushik, 1992. "A characterization of the class of rationalizable equilibria of oligopoly games," Economics Letters, Elsevier, vol. 40(2), pages 187-191, October.
  15. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-27, March.
  16. J. Durieu & P. Solal & O. Tercieux, 2011. "Adaptive learning and p-best response sets," International Journal of Game Theory, Springer, vol. 40(4), pages 735-747, November.
  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. Borenstein, Severin, 1990. "Airline Mergers, Airport Dominance, and Market Power," American Economic Review, American Economic Association, vol. 80(2), pages 400-404, May.
  19. Moulin, Herve, 1984. "Dominance solvability and cournot stability," Mathematical Social Sciences, Elsevier, vol. 7(1), pages 83-102, February.
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