Price and capacity competition
AbstractWe study the efficiency of oligopoly equilibria in a model where firms compete over capacities and prices. Our model economy corresponds to a two-stage game. First, firms choose their capacity levels. Second, after the capacity levels are observed, they set prices. Given the capacities and prices, consumers allocate their demands across the firms. We establish the existence of pure strategy oligopoly equilibria and characterize the set of equilibria. We then investigate the efficiency properties of these equilibria, where "efficiency" is defined as the ratio of surplus in equilibrium relative to the first best. We show that efficiency in the worst oligopoly equilibria can be arbitrarily low. However, if the best oligopoly equilibrium is selected (among multiple equilibria), the worst-case efficiency loss is with N firms, and this bound is tight. We also suggest a simple way of implementing the best oligopoly equilibrium.
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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 66 (2009)
Issue (Month): 1 (May)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622836
Capacity Competition Efficiency loss Industry structure Investment oligopoly;
Other versions of this item:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
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.:
- Natalia Fabra & Nils-Henrik von der Fehr & David Harbord, 2002.
"Designing Electricity Auctions,"
0211017, EconWPA, revised 31 Aug 2003.
- Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414.
- Martin J Osborne & Ariel Rubinstein, 2009.
"A Course in Game Theory,"
814577000000000225, UCLA Department of Economics.
- Daron Acemoglu & Asuman E. Ozdaglar, 2005.
"Competition and Efficiency in Congested Markets,"
172782000000000025, UCLA Department of Economics.
- Richard E. Levitan & Martin Shubik, 1970. "Duopoly with Price and Quantity as Strategic Variables," Cowles Foundation Discussion Papers 289, Cowles Foundation for Research in Economics, Yale University.
- Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
- Robert Somogyi, 2013. "Bertrand-Edgeworth competition with substantial product differentiation," IEHAS Discussion Papers 1332, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
- de Frutos, Maria-Angeles & Fabra, Natalia, 2007.
"Endogenous Capacities and Price Competition: The Role of Demand Uncertainty,"
CEPR Discussion Papers
6096, C.E.P.R. Discussion Papers.
- de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
- Vincent A.C. van den Berg, 2012.
"Auctions for Private Congestible Infrastructures,"
Tinbergen Institute Discussion Papers
12-087/VIII, Tinbergen Institute, revised 19 Oct 2012.
- José R. Correa & Nicolás Figueroa & Nicolás E. Stier-Moses, 2008. "Pricing with markups in industries with increasing marginal costs," Documentos de Trabajo 256, Centro de Economía Aplicada, Universidad de Chile.
- Liu, Tian-Liang & Chen, Jian & Huang, Hai-Jun, 2011. "Existence and efficiency of oligopoly equilibrium under toll and capacity competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 908-919.
- Vincent A.C. van den Berg, 2012. "Auctions for Private Congestible Infrastructures," Tinbergen Institute Discussion Papers 12-087/VIII, Tinbergen Institute, revised 19 Oct 2012.
- van den Berg, Vincent A.C., 2013. "Serial private infrastructures," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 186-202.
- van den Berg, Vincent A.C. & Verhoef, Erik T., 2012. "Is the travel time of private roads too short, too long, or just right?," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 971-983.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
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.