A Comparison of Two-Market Bertrand Duopoly and Two-Market Cournot Duopoly
AbstractIn a two-market Bertrand duopoly,each of two firms chooses one of two markets and a price in that market. All four choices are made simultaneously. In a two-market Cournot duopoly, the firms choose quantities rather than prices.It is well known that in the one-market case the threat of price undercutting means that Bertrand equilibrium prices and profits will be lower and quantities higher than Cournot equilibrium prices, profits and quantities.We find a quite different consequence of price undercutting in two-market duopoly. In the two-market case the threat of price undercutting means that Bertrand equilibria are in continuous mixed strategies, while every Cournot duopoly has an equilibrium in pure strategies, or in strategies that are pure in each market.
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 of Connecticut, Department of Economics in its series Working papers with number 2002-14.
Length: 21 pages
Date of creation: Apr 2002
Date of revision:
Contact details of provider:
Postal: University of Connecticut 341 Mansfield Road, Unit 1063 Storrs, CT 06269-1063
Phone: (860) 486-4889
Fax: (860) 486-4463
Web page: http://www.econ.uconn.edu/
More information through EDIRC
Cournot; Bertrand; Two-Market Duopoly;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
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.:
- Gersbach, Hans & Schmutzler, Armin, 1999. "External spillovers, internal spillovers and the geography of production and innovation," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 679-696, November.
- Elberfeld, Walter & Wolfstetter, Elmar, 1999.
"A dynamic model of Bertrand competition with entry,"
International Journal of Industrial Organization,
Elsevier, vol. 17(4), pages 513-525, May.
- Elmar Wolfstetter & Walter Elberfeld, 1997. "A Dynamic Model of Bertrand Competition with Entry," Microeconomics 9701003, EconWPA.
- Hamilton, Jonathan H. & Thisse, Jacques-Francois & Weskamp, Anita, 1989.
"Spatial discrimination : Bertrand vs. Cournot in a model of location choice,"
Regional Science and Urban Economics,
Elsevier, vol. 19(1), pages 87-102, February.
- HAMILTON, Jonathan H. & THISSE, Jacques-François & WESKAMP, Anita, . "Spatial discrimination. Bertrand vs. Cournot in a model of location choice," CORE Discussion Papers RP -846, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Beth Allen & Raymond Deneckere & Tom Faith & Dan Kovenock, 1994.
"Capacity Precommitment as a Barrier to Entry:A Bertrand-Edgeworth Approach,"
9411002, EconWPA, revised 14 Nov 1994.
- Dan Kovenock & Raymond Deneckere & Tom Faith & Beth Allen, 2000. "Capacity precommitment as a barrier to entry: A Bertrand-Edgeworth approach," Economic Theory, Springer, vol. 15(3), pages 501-530.
- Beth Allen & Raymond Deneckere & Tom Faith & Dan Kovenock, 1995. "Capacity precommitment as a barrier to entry: a Bertrand-Edgeworth approach," Staff Report 187, Federal Reserve Bank of Minneapolis.
- Allen, B. & Deneckere, R. & Faith, T. & Kovenock, D., 1994. "Capacity Precommitment as a Barrier to Entry: A Bertrand- Engeworth Approach," Papers 9483, Tilburg - Center for Economic Research.
- Allen, B. & Deneckere, R. & Faith, T. & Kovenock, D., 1994. "Capacity Precommitment as a Barrier to Entry: A Bertrand-Edgeworth Approach," Purdue University Economics Working Papers 1062, Purdue University, Department of Economics.
- 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.
- Simon, Leo K, 1987. "Games with Discontinuous Payoffs," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 569-97, October.
- Eric Rasmusen, 1996.
"Bertrand Competition Under Uncertainty,"
- Maarten C.W. Janssen & Eric Rasmusen, 1998. "Bertrand Competition under Uncertainty," Tinbergen Institute Discussion Papers 98-083/1, Tinbergen Institute.
- Maarten Janssen & Eric Rasmusen, 2001. "Bertrand Competition Under Uncertainty," CIRJE F-Series CIRJE-F-117, CIRJE, Faculty of Economics, University of Tokyo.
- Maarten Janssen & Eric Rasmusen, 2000. "Bertrand Competition Under Uncertainty," Econometric Society World Congress 2000 Contributed Papers 1309, Econometric Society.
- d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979.
"On Hotelling's "Stability in Competition","
Econometric Society, vol. 47(5), pages 1145-50, September.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Kasey Kniffin).
If references are entirely missing, you can add them using this form.