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Price-Quantity Competition of Farsighted Firms: Toughness vs. Collusion

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  • Marina S. Sandomirskaia

    (National Research University Higher School of Economics)

Abstract

The paper examines an interaction of boundedly rational firms that are able to calculate their gains after reaction of an opponent to their own deviations from the current strategy. We consider an equilibrium concept that we call a Nash-2 equilibrium. We discuss the problem of existence and possible multiplicity of such equilibria, relation to infinite rationality approach of folk theorem and security considerations of equilibrium in secure strategies. For a number of models (Bertrand with homogeneous and heterogeneous product, Cournot, Tullock competition) the Nash-2 equilibrium sets are obtained and considered as tacit collusion or strong competition in dependence of additional security considerations

Suggested Citation

  • Marina S. Sandomirskaia, 2015. "Price-Quantity Competition of Farsighted Firms: Toughness vs. Collusion," HSE Working papers WP BRP 93/EC/2015, National Research University Higher School of Economics.
    • Handle: RePEc:hig:wpaper:93/ec/2015
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    References listed on IDEAS

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    1. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, August.
    2. Noritsugu Nakanishi, 2009. "Noncooperative farsighted stable set in an n-player prisoners’ dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 249-261, June.
    3. iskakov, Mikhail & ISKAKOV, Alexey, 2012. "Equilibrium in secure strategies," LIDAM Discussion Papers CORE 2012061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Binmore, Ken, 1988. "Modeling Rational Players: Part II," Economics and Philosophy, Cambridge University Press, vol. 4(1), pages 9-55, April.
    5. Stahl Dale O., 1993. "Evolution of Smartn Players," Games and Economic Behavior, Elsevier, vol. 5(4), pages 604-617, October.
    6. Vincent P. Crawford & Miguel A. Costa-Gomes & Nagore Iriberri, 2013. "Structural Models of Nonequilibrium Strategic Thinking: Theory, Evidence, and Applications," Journal of Economic Literature, American Economic Association, vol. 51(1), pages 5-62, March.
    7. Kawagoe, Toshiji & Takizawa, Hirokazu, 2009. "Equilibrium refinement vs. level-k analysis: An experimental study of cheap-talk games with private information," Games and Economic Behavior, Elsevier, vol. 66(1), pages 238-255, May.
    8. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    9. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    10. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    11. Marina S. Sandomirskaia, 2014. "A Model Of Tacit Collusion: Nash-2 Equilibrium Concept," HSE Working papers WP BRP 70/EC/2014, National Research University Higher School of Economics.
    12. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    13. V. P. Crawford, 2014. "Boundedly rational versus optimization-based models of strategic thinking and learning in games," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 5.
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    Cited by:

    1. Iskakov, A. & Iskakov, M., 2017. "In Search of a Generalized Concept of Rationality," Journal of the New Economic Association, New Economic Association, vol. 34(2), pages 181-189.

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    More about this item

    Keywords

    Nash-2 equilibrium; secure deviation; secure profile; Bertrand model; Cournot duopoly; differentiated product; Tullock contest; tacit collusion; tough competition.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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