Kangsik, Choi (2012): Cournot and Bertrand competition with asymmetric costs in a mixed duopoly revisited.
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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, if the Singh and Vives assumption of positive primary outputs holds, (i) Bertrand competition or quantity-price competition can occur depending on the degree of public firm's inefficiency when the goods are substitutes. (ii) regardless of its inefficiency, there can be always sustained Bertrand competition when the goods are complements. (iii) the ranking of a private firm's profit is not reversed. However if we relax the parameter restriction imposed implicitly by Singh and Vives (i.e., we adopt Zanchettin (2006) assumption) to allow for a wider range of cost asymmetry, there can be always sustained multiple subgame Nash perfect equilibria in the contract stage by each critical value of the public firm's inefficiency. In particular, Cournot and Bertrand competition coexist if its inefficiency is sufficiently small or large.
|Item Type:||MPRA Paper|
|Original Title:||Cournot and Bertrand competition with asymmetric costs in a mixed duopoly revisited|
|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 and Pricing > 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:||28. Mar 2012 12:29|
|Last Modified:||13. Feb 2013 10:41|
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. (2012) Price and Quantity Competition in a Unionised Mixed Duopoly: The Cases of Substitutes and Complements, Australian Economic Papers, 51, 1-22.
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, Sequential 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. Forthcoming in Journal of Institutional and Theoretical Economics.
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.
Matsumura, T. and Ogawa, A. (2012) Price vs. Quantity in a Mixed Duopoly, forthcoming in Economics Letters.
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.
Wang, X. H. (2008), Price and Quantity Competition Revisited, Economics Bulletin, 4, 1-7.
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, Journal of Economics and Management Strategy, 15, 999-1015.