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Survival in Cournot games

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  • Leoni, Patrick L.

Abstract

In a model that encompasses a general equilibrium framework, we consider a monopolist (a producer) with subjective beliefs that endogenously hedges against fluctuations in input prices in a complete market. We allow for entries and Cournot competition in this economy, and we study how erroneous beliefs affect long-run survival for those firms. We introduce a notion of entropy of beliefs, and we use it to characterize the class of beliefs for which the monopolist eventually disappears almost surely. When disappearance occurs, the whole market power switches to the entrant making the most accurate predictions in our sense. The class of beliefs for which survival occurs is much broader than that of perfectly competitive settings.

Suggested Citation

  • Leoni, Patrick L., 2013. "Survival in Cournot games," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 429-434.
  • Handle: RePEc:eee:mateco:v:49:y:2013:i:5:p:429-434
    DOI: 10.1016/j.jmateco.2013.05.003
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    References listed on IDEAS

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    1. Patrick Leoni, 2008. "Market power, survival and accuracy of predictions in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 189-206, January.
    2. Blume, Lawrence E. & Easley, David, 2002. "Optimality and Natural Selection in Markets," Journal of Economic Theory, Elsevier, vol. 107(1), pages 95-135, November.
    3. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
    4. Beggs, Alan W & Klemperer, Paul, 1992. "Multi-period Competition with Switching Costs," Econometrica, Econometric Society, vol. 60(3), pages 651-666, May.
    5. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
    6. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211-211.
    7. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    8. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    9. Patrick Leoni, 2012. "Rational expectations and monopolistic trades," Journal of Economics, Springer, vol. 107(2), pages 129-140, October.
    10. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
    11. J. Miguel Villas-Boas, 1999. "Dynamic Competition with Customer Recognition," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 604-631, Winter.
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