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Cournot-Bayesian General Equilibrium: A Radon Measure Approach

Author

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  • David Carfì

    (Department of Mathematics, University of California Riverside, Riverside, CA 92521, USA
    Current address: Department of Economics, University of Messina, Via dei Verdi 91, 98122 Messina, Italy.
    These authors contributed equally to this work.)

  • Alessia Donato

    (Department of Economics, University of Messina, 98122 Messina, Italy
    These authors contributed equally to this work.)

Abstract

In this paper, we consider a Cournot duopoly, in which any firm does not know the marginal costs of production of the other player, as a Bayesian game. In our game, the marginal costs depend on two infinite continuous sets of states of the world. We shall study, before the general case, an intermediate case in which only one player, the second one, shows infinitely many types. Then, we shall generalize to the case in which both players show infinitely many types depending on the marginal costs, where the marginal costs are given by the nature and each actual marginal cost is known only by the respective player. We find, in both cases, the general Nash equilibrium.

Suggested Citation

  • David Carfì & Alessia Donato, 2018. "Cournot-Bayesian General Equilibrium: A Radon Measure Approach," Mathematics, MDPI, vol. 7(1), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2018:i:1:p:10-:d:192633
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    References listed on IDEAS

    as
    1. Carfì, David & Schilirò, Daniele, 2012. "Global green economy and environmental sustainability: a coopetitive model," MPRA Paper 37018, University Library of Munich, Germany.
    2. David Carfì & Emanuele Perrone, 2013. "Asymmetric Cournot Duopoly: A Game Complete Analysis," Journal of Reviews on Global Economics, Lifescience Global, vol. 2, pages 194-202.
    3. Carl Shapiro, 1989. "The Theory of Business Strategy," RAND Journal of Economics, The RAND Corporation, vol. 20(1), pages 125-137, Spring.
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    6. S. S. Askar, 2013. "The Impact of Cost Uncertainty on Cournot Duopoly Game with Concave Demand Function," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, November.
    7. Carfì, David & Musolino, Francesco, 2012. "Game theory and speculation on government bonds," Economic Modelling, Elsevier, vol. 29(6), pages 2417-2426.
    8. Carfì, David & Schilirò, Daniele, 2012. "A coopetitive model for the green economy," Economic Modelling, Elsevier, vol. 29(4), pages 1215-1219.
    9. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
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