On supply function competition in a mixed oligopoly

Gutiérrez-Hita, Carlos and Vicente-Pérez, José (2018): On supply function competition in a mixed oligopoly.

Abstract

In this paper we present a mixed duopoly model of supply function competition under uncertainty with product differentiation. We find that, regardless the nature of product heterogeneity, the best response of the private firm always arises as strategic complement. Contrary to this, state-owned firm's best response arises either as strategic complement or substitute depending on the product heterogeneity. As a result of the ex post realization of the demand uncertainty, different equilibria are reached.

• Item Type: MPRA Paper
• Language: English
• Keywords: Supply Function Equilibria; Mixed oligopoly; Differentiated products.
• Subjects: D - Microeconomics > D4 - Market Structure, Pricing, and Design > D43 - Oligopoly and Other Forms of Market Imperfection; H - Public Economics > H4 - Publicly Provided Goods > H42 - Publicly Provided Private Goods; L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L13 - Oligopoly and Other Imperfect Markets

References

* U. Akgün. Mergers with supply function. The Journal of Industrial Economics, LII(4):535-546, 2004.

* J. Bulow, J. Geanakoplos, and P. Klemperer. Multimarket oligopoly: strategic substitutes and complements. Journal of Political Economy, 93(3):488-511, 1985.

* A. Ciarreta and C. Gutiérrez-Hita. Supply function vs quantity competition in supergames. International Journal of Industrial Organization, 24(4):773-783, 2006.

* G. De Fraja and F. Delbono. Game theoretic models of mixed oligopoly. Journal of Economics Surveys, 4(1):1-17, 1990.

* F. Delbono and L. Lambertini. On the properties of linear supply functions in oligopoly. Economics Letters, 135:22-24, 2015.

* A. Ghosh and M. Mitra. Comparing Bertrand and Cournot in mixed markets. Economics Letters, 109(2):72-74, 2010.

* J. Haraguchi and T. Matsumura. Cournot-Bertrand comparison in a mixed oligopoly. Journal of Economics, 117(2):117-136, 2016.

* P. Kemplerer and M. Meyer. Price competition vs. quantity competition: the role of uncertainty. The RAND Journal of Economics, 17(4):618-638, 1986.

* P. Kemplerer and M. Meyer. Supply function equilibria in oligopoly under uncertainty. Econometrica, 57(6):1243-1277, 1989.

* S. Martin. Advanced Industrial Economics. Blackwell Publishers, 2nd edition, 2002.

* T. Matsumura and A. Ogawa. Price versus quantity in a mixed duopoly. Economics Letters, 116(2):174-177, 2012.

* W. Press, S. Teukolsky, W. Vetterling, and B. Flannery. Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, 2nd edition, 1992.

* N. Singh and X. Vives. Price and quantity competition in a differentiated duopoly. The RAND Journal of Economics, 15(4): 546-554, 1984.