Cournot and Bertrand competition with asymmetric costs in a mixed duopoly
AbstractWe 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 34100.
Date of creation: 14 Oct 2011
Date of revision:
Inefficiency; Cournot-Bertrand Competition; Mixed Duopoly;
Find related papers by JEL classification:
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- H44 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Goods: Mixed Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-22 (All new papers)
- NEP-BEC-2011-10-22 (Business Economics)
- NEP-CIS-2011-10-22 (Confederation of Independent States)
- NEP-COM-2011-10-22 (Industrial Competition)
- NEP-IND-2011-10-22 (Industrial Organization)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
- Glazer, Amihai & Niskanen, Esko, 1992.
"Why Voters May Prefer Congested Public Clubs,"
University of California Transportation Center, Working Papers
qt9vk9r6zm, University of California Transportation Center.
- Glazer, A. & Niskanen, E., 1990. "Why Voters May Prefer Congested Public Clubs," Papers 90-91-18, California Irvine - School of Social Sciences.
- Glazer, Amihai & Niskanen, Esko, 1992. "Why voters may prefer congested public clubs," University of California Transportation Center, Working Papers qt16j5s39d, University of California Transportation Center.
- Glazer, Amihai & Niskanen, Esko, 2001. "Why voters may prefer congested public clubs," University of California Transportation Center, Working Papers qt2rm6x4kc, University of California Transportation Center.
- Kangsik, Choi, 2008. "Cournot-Bertrand competition in a unionized mixed duopoly," MPRA Paper 12787, University Library of Munich, Germany, revised 26 Dec 2008.
- Shinichi Nishiyama & Kent Smetters, 2007.
"Does Social Security Privatization Produce Efficiency Gains?,"
The Quarterly Journal of Economics,
MIT Press, vol. 122(4), pages 1677-1719, November.
- Shinichi Nishiyama & Kent Smetters, 2005. "Does Social Security Privatization Produce Efficiency Gains?," Working Papers wp106, University of Michigan, Michigan Retirement Research Center.
- Shinichi Nishiyama & Kent Smetters, 2005. "Does Social Security Privatization Produce Efficiency Gains?," NBER Working Papers 11622, National Bureau of Economic Research, Inc.
- 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.
- 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.
- 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.
- Häckner, Jonas, 1999. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Research Papers in Economics 1999:9, Stockholm University, Department of Economics.
- Jeffry M. Netter & William L. Megginson, 2001. "From State to Market: A Survey of Empirical Studies on Privatization," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 321-389, June.
- Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June.
- Rafael La Porta & Florencio López-de-Silanes, 1997.
"The Benefits of Privatization : Evidence from Mexico,"
World Bank Other Operational Studies
11583, The World Bank.
- Rafael La Porta & Florencio López-De-Silanes, 1999. "The Benefits Of Privatization: Evidence From Mexico," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1193-1242, November.
- Rafael La Porta & Florencio Lopez-de-Silane, 1997. "The Benefits of Privatization: Evidence from Mexico," NBER Working Papers 6215, National Bureau of Economic Research, Inc.
- Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
- Mónica Correa-López, 2007. "Price and Quantity Competition in a Differentiated Duopoly with Upstream Suppliers," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 469-505, 06.
- Piercarlo Zanchettin, 2006. "Differentiated Duopoly with Asymmetric Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(4), pages 999-1015, December.
- de Fraja, Giovanni & Delbono, Flavio, 1990. " Game Theoretic Models of Mixed Oligopoly," Journal of Economic Surveys, Wiley Blackwell, vol. 4(1), pages 1-17.
- Amir, Rabah & Jin, Jim Y., 2001. "Cournot and Bertrand equilibria compared: substitutability, complementarity and concavity," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 303-317, March.
- Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
- Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
- Juan Bárcena-Ruiz & F. Casado-Izaga, 2012. "Location of public and private firms under endogenous timing of choices," Journal of Economics, Springer, vol. 105(2), pages 129-143, March.
- Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
- Toshihiro Matsumura & Noriaki Matsushima, 2004. "Endogenous Cost Differentials between Public and Private Enterprises: A Mixed Duopoly Approach," Economica, London School of Economics and Political Science, vol. 71(284), pages 671-688, November.
- Warzynski, Frederic, 2003. "Managerial change, competition, and privatization in Ukraine," Journal of Comparative Economics, Elsevier, vol. 31(2), pages 297-314, June.
- Ikuo Ishibashi & Noriaki Matsushima, 2012. "Should Public Sectors Be Complements of Private Sectors?," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 168(4), pages 712-730, December.
- John S. Heywood & Guangliang Ye, 2009. "Mixed Oligopoly, Sequential Entry, And Spatial Price Discrimination," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 589-597, 07.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.