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Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium

Author

Listed:
  • Busetto, Francesca

    (University of Udine)

  • Codognato, Giulio

    (University of Udine)

  • Ghosal, Sayantan

    (Department of Economics, University of Warwick)

Abstract

In this paper, we investigate the problem of the strategic foundation of the Cournot-Walras equilibrium approach. To this end, we respecify a'la Cournot-Walras the mixed version of a model of simultaneous, noncooperative exchange, originally proposed by Lloyd S.Shapley. We show, through an example, that the set of the Cournot-Walras equilibrium allocations of this respecification does not coincide with the set of the Cournot-Nash equilibrium allocations of the mixed version of the original Shapley's model. As the nonequivalence, in a one-stage setting, can be explained by the intrinsic two-stage nature of the Cournot-Walras equilibrium concept, we are led to consider a further reformulation of the Shapley's model as a two-stage game, where the atoms move in the first stage and the atomless sector moves in the second stage. Our main result shows that the set of the Cournot-Walras equilibrium allocations coincides with a specific set of subgame perfect equilibrium allocations of this two-stage game, which we call the set of the Pseudo-Markov perfect equilibrium allocations.

Suggested Citation

  • Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2008. "Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium," The Warwick Economics Research Paper Series (TWERPS) 837, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:837
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    Cited by:

    1. Roy H Grieve, 2013. "An issue with own-rates: Keynes borrows from Sraffa , Sraffa criticises Keynes, and present-day commentators get hold of the wrong end of the stick," Working Papers 1319, University of Strathclyde Business School, Department of Economics.
    2. Andrés Carvajal, 2018. "Arbitrage pricing in non-Walrasian financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 951-978, December.
    3. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Damiano Turchet, 2023. "On the foundation of monopoly in bilateral exchange," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(4), pages 1261-1290, December.
    4. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2011. "Noncooperative oligopoly in markets with a continuum of traders," Games and Economic Behavior, Elsevier, vol. 72(1), pages 38-45, May.
    5. Julien, Ludovic A., 2013. "On Stackelberg competition in strategic multilateral exchange," Research in Economics, Elsevier, vol. 67(1), pages 59-75.
    6. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    7. Alex Dickson, 2013. "On Cobb-Douglas Preferences in Bilateral Oligopoly," Recherches économiques de Louvain, De Boeck Université, vol. 79(4), pages 89-110.
    8. Ludovic A. Julien, 2010. "From Imperfect To Perfect Competition: A Parametric Approach Through Conjectural Variations," Manchester School, University of Manchester, vol. 78(6), pages 660-677, December.
    9. Alex Dickson & Roger Hartley, 2013. "Bilateral oligopoly and quantity competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 979-1004, April.
    10. Julien, Ludovic A., 2009. "Conjectural variations, symmetric equilibria and economic policy," Economic Modelling, Elsevier, vol. 26(5), pages 1115-1120, September.
    11. David Mayer-Foulkes, 2011. "Vulnerable Markets," DEGIT Conference Papers c016_040, DEGIT, Dynamics, Economic Growth, and International Trade.
    12. Julien, Ludovic A., 2011. "Unemployment equilibrium and economic policy in mixed markets," Economic Modelling, Elsevier, vol. 28(4), pages 1931-1940, July.
    13. Ludovic JULIEN, 2009. "Consistent conjectural variations equilibria in strategic multilateral exchange," Economics Bulletin, AccessEcon, vol. 29(1), pages 465-473.
    14. Amani Kahloul & Rim Lahmandi-Ayed & Hejer Lasram & Didier Laussel, 2017. "Democracy and competition: Vertical differentiation and labor in a general equilibrium model," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(4), pages 860-874, August.
    15. Ludovic A. Julien & Fabrice Tricou, 2008. "Market Price Mechanisms and Stackelberg General Equilibria," EconomiX Working Papers 2008-29, University of Paris Nanterre, EconomiX.
    16. Ludovic A. Julien & Fabrice Tricou, 2010. "Oligopoly Equilibria “à la Stackelberg” in Pure Exchange Economies," Recherches économiques de Louvain, De Boeck Université, vol. 76(2), pages 175-194.
    17. Francesca Busetto & Giulio Codognato & Sayantan Ghosal, "undated". "Noncooperative oligopoly in markets with a continuum of traders: a limit theorem a la Cournot," Working Papers 2014_01, Business School - Economics, University of Glasgow.
    18. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan, 2014. "Noncooperative Oligopoly in Markets with a Continuum of Traders: A Limit Theorem µa la Cournot," SIRE Discussion Papers 2014-019, Scottish Institute for Research in Economics (SIRE).

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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