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Profitability in Cournot and Bertrand Mixed Markets under Endogenous Objectives

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  • Scrimitore, Marcella

Abstract

We examine both quantity and price competition between a number of profit-maximizing firms and a state-controlled enterprise (SCE). The objective function of the latter is strategically defined by a welfare-maximizing government which weighs the SCE’s profits relative to consumer surplus and private profits. Different motives drive the government‘s optimal behavior in the two competitive settings and lead all firms in oligopoly to gain higher profits in Cournot than in Bertrand. The profit ordering is reverted, and social welfare is enhanced, with respect to the purely-mixed market examined by Ghosh and Mitra (2010). In duopoly, aggregate profits are equivalent in Cournot and Bertrand.

Suggested Citation

  • Scrimitore, Marcella, 2011. "Profitability in Cournot and Bertrand Mixed Markets under Endogenous Objectives," MPRA Paper 35643, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:35643
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    File URL: https://mpra.ub.uni-muenchen.de/35643/1/MPRA_paper_35643.pdf
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    References listed on IDEAS

    as
    1. Arghya Ghosh & Manipushpak Mitra, 2008. "Comparing Bertrand and Cournot Outcomes in the Presence of Public Firms," Discussion Papers 2008-18, School of Economics, The University of New South Wales.
    2. Lopez, Monica Correa & Naylor, Robin A., 2004. "The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining," European Economic Review, Elsevier, vol. 48(3), pages 681-696, June.
    3. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    4. Piercarlo Zanchettin, 2006. "Differentiated Duopoly with Asymmetric Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 999-1015, December.
    5. White, Mark D., 2002. "Political manipulation of a public firm's objective function," Journal of Economic Behavior & Organization, Elsevier, vol. 49(4), pages 487-499, December.
    6. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    7. Kenji Fujiwara, 2007. "Partial Privatization in a Differentiated Mixed Oligopoly," Journal of Economics, Springer, vol. 92(1), pages 51-65, September.
    8. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    9. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    10. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    11. Corrado Benassi & Alessandra Chirco & Marcella Scrimitore, 2011. "Optimal Manipulation Rules in a Mixed Duopoly," Working Paper series 43_11, Rimini Centre for Economic Analysis.
    Full references (including those not matched with items on IDEAS)

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    Keywords

    Cournot; Bertrand; endogenous objectives; partial privatization;

    JEL classification:

    • L32 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Public Enterprises; Public-Private Enterprises
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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