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Cournot-Bertrand competition in a unionized mixed duopoly


  • Kangsik, Choi


We investigate a differentiated mixed duopoly in which private and public firms can choose to strategically set prices or quantities by facing a union bargaining process. For the case of a unionized mixed duopoly, only public firm is able to choose a type of contract based on the degree of substitutability in the equilibrium. Focusing on the case of substitute goods, we show that Bertrand (respectively, Cournot) competition entails higher social welfare than Cournot (respectively, Bertrand) competition if the degree of substitutability is relatively small (respectively, large). Thus, there are multiple Nash equilibria in the contract stage of the game. As a result, Singh and Vives' ranking of social welfare is reversed in a range of substitution values for which it is a dominant strategy for public firm to choose either quantity or price contracts.

Suggested Citation

  • Kangsik, Choi, 2008. "Cournot-Bertrand competition in a unionized mixed duopoly," MPRA Paper 12787, University Library of Munich, Germany, revised 26 Dec 2008.
  • Handle: RePEc:pra:mprapa:12787

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    References listed on IDEAS

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    Cited by:

    1. Joaquín Andaluz, 2011. "Validity of the “Principle of Maximum Product Differentiation” in a unionized mixed-duopoly," Journal of Economics, Springer, vol. 102(2), pages 123-136, March.
    2. Kangsik, Choi, 2011. "Cournot and Bertrand competition with asymmetric costs in a mixed duopoly," MPRA Paper 34100, University Library of Munich, Germany.
    3. Kazuhiro Ohnishi, 2014. "Sequential Mixed Competition with a Foreign Joint-stock Firm," International Journal of Social Sciences and Management Studies (IJSSMS), The Economics and Social Development Organization (TESDO), vol. 1(2), pages 38-52, June.

    More about this item


    Wage Bargaining; Union; Cournot-Bertrand Competition; Mixed Duopoly;

    JEL classification:

    • J51 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Trade Unions: Objectives, Structure, and Effects
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • H44 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Goods: Mixed Markets

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