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Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium

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  • Busetto, Francesca
  • Codognato, Giulio
  • Ghosal, Syantan
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 CournotWalras 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 CournotWalras 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, Syantan, 2008. "Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium," Economic Research Papers 269786, University of Warwick - Department of Economics.
    • Handle: RePEc:ags:uwarer:269786
    DOI: 10.22004/ag.econ.269786
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    Cited by:

    1. David Mayer-Foulkes, 2011. "Vulnerable Markets," DEGIT Conference Papers c016_040, DEGIT, Dynamics, Economic Growth, and International Trade.
    2. 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.
    3. Julien, Ludovic A., 2011. "Unemployment equilibrium and economic policy in mixed markets," Economic Modelling, Elsevier, vol. 28(4), pages 1931-1940, July.
    4. 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.
    5. 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.
    6. Ludovic JULIEN, 2009. "Consistent conjectural variations equilibria in strategic multilateral exchange," Economics Bulletin, AccessEcon, vol. 29(1), pages 465-473.
    7. 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.
    8. Alex Dickson, 2013. "On Cobb-Douglas Preferences in Bilateral Oligopoly," Recherches économiques de Louvain, De Boeck Université, vol. 79(4), pages 89-110.
    9. Ludovic A. Julien & Fabrice Tricou, 2008. "Market Price Mechanisms and Stackelberg General Equilibria," EconomiX Working Papers 2008-29, University of Paris Nanterre, EconomiX.
    10. 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.
    11. Julien, Ludovic A., 2013. "On Stackelberg competition in strategic multilateral exchange," Research in Economics, Elsevier, vol. 67(1), pages 59-75.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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).
    18. Julien, Ludovic A., 2009. "Conjectural variations, symmetric equilibria and economic policy," Economic Modelling, Elsevier, vol. 26(5), pages 1115-1120, September.

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    More about this item

    Keywords

    Public Economics; Research Methods/ Statistical Methods;

    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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