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Cournot and Bertrand competition with asymmetric costs in a mixed duopoly

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  • Kangsik, Choi

Abstract

We investigate a differentiated mixed duopoly in which private and public firms can choose to strategically set prices or quantities when the public firm is less efficient than the private firm. Thus, regardless of whether the goods are substitutes or complements, if the degree of public firm's inefficiency is sufficiently small, there exists a dominant strategy for both public and private firms that choose Bertrand competition, while there exists a dominant strategy only for the private firm that chooses Bertrand competition if the degree of inefficiency is sufficiently large. Consequently, we show that regardless of the nature of goods, (i) social welfare under Bertrand competition is determined in equilibrium, if the degree of public firm's inefficiency is sufficiently small; and (ii) if the degree of its inefficiency is sufficiently large, social welfare under which the private firm sets its price and the public firm sets its quantity is determined in equilibrium. Moreover, the ranking of a private firm's profit is not reversed.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 34100.

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Date of creation: 14 Oct 2011
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Handle: RePEc:pra:mprapa:34100

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Keywords: Inefficiency; Cournot-Bertrand Competition; Mixed Duopoly;

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  1. Choi, Kangsik, 2008. "Comparing Cournot and Bertrand Competition in a Unionized Mixed Duopoly," MPRA Paper 15468, University Library of Munich, Germany, revised 27 May 2009.
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  19. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
  20. 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.
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  22. Warzynski, Frederic, 2003. "Managerial change, competition, and privatization in Ukraine," Journal of Comparative Economics, Elsevier, vol. 31(2), pages 297-314, June.
  23. 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.
  24. de Fraja, Giovanni & Delbono, Flavio, 1990. " Game Theoretic Models of Mixed Oligopoly," Journal of Economic Surveys, Wiley Blackwell, vol. 4(1), pages 1-17.
  25. Kangsik, Choi, 2008. "Cournot-Bertrand competition in a unionized mixed duopoly," MPRA Paper 12787, University Library of Munich, Germany, revised 26 Dec 2008.
  26. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
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