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The end of the Bertrand Paradox ?

Author

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  • Marie-Laure Cabon-Dhersin

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

  • Nicolas Drouhin

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

Abstract

This paper analyzes price competition in the case of two firms operating under constant returns to scale with more than one production factor. Factors are chosen sequentially in a two-stage game implying a convex short term cost function in the second stage of the game. We show that the collusive outcome is the only predictable issue of the whole game i.e. the unique non Pareto-dominated pure strategy Nash Equilibrium. Technically, this paper bridges the capacity constraint literature on price competition with the one of convex cost function, solving the Bertrand Paradox in the line of Edgeworth's research program.

Suggested Citation

  • Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2010. "The end of the Bertrand Paradox ?," Post-Print halshs-00542486, HAL.
  • Handle: RePEc:hal:journl:halshs-00542486
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00542486
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    References listed on IDEAS

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