Merger Incentives and Inverse Matrices from Bertrand Competition
AbstractThis paper first inverts a general class of matrices for solving Bertrand equilibria from arbitrary coalition structures in linear Bertand oligopolies. It then studies merger incentives and obtains two main results; 1) for any asymmetric costs, mergers of any size are profitable; 2) a merger will reduce outsiders' profits when there are large cost savings or cost asymmetry. The second result is in sharp constrast to Cournot competition where mergers always increase outsiders' profits. This striking new feature not only supports the belief that Bertrand competition is more general than Cournot competition, but will also open up a new line of arguments in future attempts to block merger proposals
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 Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 586.
Date of creation: 11 Aug 2004
Date of revision:
Contact details of provider:
Phone: 1 212 998 3820
Fax: 1 212 995 4487
Web page: http://www.econometricsociety.org/pastmeetings.asp
More information through EDIRC
Bertrand Equilibrium; Coalition Structure; Inverse Matrix; Merger Incentives;
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
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-08-16 (All new papers)
- NEP-COM-2004-08-16 (Industrial Competition)
- NEP-IND-2004-08-31 (Industrial Organization)
- NEP-MIC-2004-08-16 (Microeconomics)
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.:
- Joseph Farrell and Carl Shapiro., 1988.
"Horizontal Mergers: An Equilibrium Analysis,"
Economics Working Papers
8880, University of California at Berkeley.
- Farrell, J. & Shapiro, C., 1988. "Horizontal Mergers: An Equilibrium Analysis," Papers 17, Princeton, Woodrow Wilson School - Discussion Paper.
- Farrell, Joseph & Shapiro, Carl, 1988. "Horizontal Mergers: An Equilibrium Analysis," Department of Economics, Working Paper Series qt0tp305nx, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Farrell, J. & Shapiro, C., 1989. "Horizontal Mergers: An Equilibrium Analysis," Working Papers e-89-3, Hoover Institution, Stanford University.
- Amir, Rabah & Jin, Jim Y., 2001. "Cournot and Bertrand equilibria compared: substitutability, complementarity and concavity," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 303-317, March.
- Zhao, Jingang, 1991. "The Equilibria of a Multiple Object Game," International Journal of Game Theory, Springer, vol. 20(2), pages 171-82.
- Zhao, Jingang, 1992.
"The hybrid solutions of an N-person game,"
Games and Economic Behavior,
Elsevier, vol. 4(1), pages 145-160, January.
- Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414 Elsevier.
- Fevrier, Philippe & Linnemer, Laurent, 2004. "Idiosyncratic shocks in an asymmetric Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 835-848, June.
- Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
- Beth Allen, 2000. "The Future of Microeconomic Theory," Journal of Economic Perspectives, American Economic Association, vol. 14(1), pages 143-150, Winter.
- Wang, X. Henry & Zhao, Jingang, 2007. "Welfare reductions from small cost reductions in differentiated oligopoly," International Journal of Industrial Organization, Elsevier, vol. 25(1), pages 173-185, February.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum).
If references are entirely missing, you can add them using this form.