Kangsik, Choi (2011): Cournot and Bertrand competition with asymmetric costs in a mixed duopoly.
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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.
|Item Type:||MPRA Paper|
|Original Title:||Cournot and Bertrand competition with asymmetric costs in a mixed duopoly|
|Keywords:||Inefficiency, Cournot-Bertrand Competition, Mixed Duopoly|
|Subjects:||L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L13 - Oligopoly and Other Imperfect Markets
D - Microeconomics > D4 - Market Structure, Pricing, and Design > D43 - Oligopoly and Other Forms of Market Imperfection
H - Public Economics > H4 - Publicly Provided Goods > H44 - Publicly Provided Goods: Mixed Markets
|Depositing User:||Kangsik Choi|
|Date Deposited:||14. Oct 2011 03:01|
|Last Modified:||22. Oct 2015 14:28|
Amir, R. and Jin, J. Y. (2001) Cournot and Bertrand Equilibria Compared: Substitutability, Complementarity and Concavity, International Journal of Industrial Organization, 19, 303-317.
Barcena-Ruiz, J.C. and Casado-Izaga, F. J. (2011), Location of Public and Private Firms under Endogenous Timing of Choices, forthcoming in Journal of Economics.
Bos, D., 1991, Privatization: A Theoretical Treatment, Oxford University Press.
Cheng, L. (1985) Comparing Bertrand and Cournot Equilibria: A Geometric Approach, RAND Journal of Economics, 16, 146-152.
Choi, K. (2009), Comparing Cournot and Bertrand Competition in a Unionized Mixed Duopoly, MPRA Paper No.15468.
Dastidar, K. G. (1997) Comparing Cournot and Bertrand in a Homogenous Product Market, Journal of Economic Theory, 75, 205-212.
De Fraja, G. (2009) Mixed Oligopoly: Old and New, Working Paper No. 09/20, University of Leicester.
De Fraja, G. and Delbono, F. (1990) Game Theoretic Models of Mixed Oligopoly, Journal of Economic Surveys, 4, 1-17.
Ghosh, A. and Mitra, M. (2010) Comparing Bertrand and Cournot Outcomes in Mixed Market, Economics Letters, 109, 72-74.
Glazer, A. and Niskanen, E. (1997) Why Voters May Prefer Congested Public Club, Journal of Public Economics, 65, 37-44.
Hackner, J. (2000) A Note on Price and Quantity Competition in Differentiated Oligopolies, Journal of Economic Theory, 93, 233-239.
Heywood, J. S. and Ye, G. (2009) Mixed Oligopoly, equential Entry, and Spatial Price Discrimination, Economic Inquiry, 47, 589-597.
Ishibashi, I. and Matsushima, N. (2008) Should Public Sectors be Complements of Private Sectors? GSBA Kobe University Discussion Paper Series: 2008-58.
Lambertini, L. (1997) Prisoners' Dilemma in Duopoly (Super) Games, Journal of Economic Theory, 77, 181-191.
La Porta, R. and Lopez-de-Silane, F. (1999) The Benefits of Privatization: Evidence from Mexico,Quarterly Journal of Economics, 34, 1193-1294.
Lopez, C. M. (2007) Price and Quantity Competition in a Differentiated Duopoly with Upstream Suppliers, Journal of Economics and Management Strategy, 16, 469-505.
Lopez, C. M. and Naylor, R. (2004) The Cournot-Bertrand Profit Differential: A Reversal Result in a Differentiated Duopoly with Wage Bargaining, European Economic Review, 48, 681-696.
Matsumura, T. (1998) Partial Privatization in Mixed Duopoly, Journal of Public Economics, 70, 473-483.
Matsumura, T. and Matsushima, N. (2004) Endogenous Cost Differentials between Public and Private Enterprises: A Mixed Duopoly Approach, Economica, 71, 671-688.
Megginson, W. and Netter, J. (2001) From State to Market: A Survey of Empirical Studies on Privatization, Journal of Economic Literature, 39, 321-389.
Nishiyama, S. and Smetter, K. (2007) Does Social Security Privatization Product Efficiency Gains? Quarterly Journal of Economics, 122, 1677-1719.
Okuguchi, K. (1987) Equilibrium Prices in the Bertrand and Cournot Oligopolies, Journal of Economic Theory, 42, 213-229.
Pal, D. (1998) Endogenous Timing in a Mixed Oligopoly, Economics Letters, 61,181-185.
Qiu, L. D. (1997) On the Dynamic Efficiency of Bertrand and Cournot Equilibria, Journal of Economic Theory, 75, 213-229.
Singh, N. and Vives, X. (1984) Price and Quantity Competition in a Differentiated Duopoly, RAND Journal of Economics, 15, 546-554.
Warzynski, F. (2003), Managerial Change, Competition, and Privatization in Ukraine, Journal of Comparative Economics, 31, 297-314.
Zanchettin, P. (2006) Differentiated Duopoly with Asymmetric Costs: New Results from a Seminal Model, Journal of Economics and Management Strategy, 15, 999-1015.