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Non-existence of Duopoly Equilibria: A Simple Numerical Example


  • Jean-Marc Bonnisseau


  • Michael Florig



We give a simple example to the non-existence of duopoly equilibrium in pure strategies in an economy with two goods and two types of consumers.
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Suggested Citation

  • Jean-Marc Bonnisseau & Michael Florig, 2005. "Non-existence of Duopoly Equilibria: A Simple Numerical Example," Journal of Economics, Springer, vol. 85(1), pages 65-71, July.
  • Handle: RePEc:kap:jeczfn:v:85:y:2005:i:1:p:65-71
    DOI: 10.1007/s00712-005-0119-9

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    References listed on IDEAS

    1. Jaskold Gabszewicz, Jean & Vial, Jean-Philippe, 1972. "Oligopoly "A la cournot" in a general equilibrium analysis," Journal of Economic Theory, Elsevier, vol. 4(3), pages 381-400, June.
    2. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2000. "Objectives of an Imperfectly Competitive Firm: A Surplus Approach," CIE Discussion Papers 2000-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    3. Roberts, John & Sonnenschein, Hugo, 1977. "On the Foundations of the Theory of Monopolistic Competition," Econometrica, Econometric Society, vol. 45(1), pages 101-113, January.
    4. Cordella, Tito & J. Gabszewicz, Jean, 1997. "Comparative advantage under oligopoly," Journal of International Economics, Elsevier, vol. 43(3-4), pages 333-346, November.
    5. Gabszewicz, J. & Michel, P., 1992. "Oligopoly Equilibria in Exchange Economies," Papiers d'Economie Mathématique et Applications 92.26, Université Panthéon-Sorbonne (Paris 1).
    6. Birgit Grodal & Egbert Dierker, 1999. "The price normalization problem in imperfect competition and the objective of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 257-284.
    7. Cordella, Tito & Gabszewicz, Jean J., 1998. ""Nice" Trivial Equilibria in Strategic Market Games," Games and Economic Behavior, Elsevier, vol. 22(1), pages 162-169, January.
    8. Gale, David, 1976. "The linear exchange model," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 205-209, July.
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    More about this item


    Imperfect competition; Duopoly equilibrium; D50; D43;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection


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