Costly Renegotiation in Repeated Bertrand Games
This paper extends the concept of weak renegotiation-proof equilibrium (WRP) to allow for costly renegotiation and shows that even small renegotiation costs can have dramatic effects on the set of equilibria. More specifically, the paper analyzes the infinitely repeated Bertrand game. It is shown that for every level of renegotiation cost there exists a discount factor such that any collusive profit can be supported as an equilibrium outcome. Hence, any arbitrary small renegotiation cost will suffice to facilitate collusive outcomes for sufficiently patient firms. This result stands in stark contrast to the unique pure-strategy WRP equilibrium without renegotiation costs, which implies marginal-cost pricing in every period. Moreover, in comparison to the findings of McCutcheon (1997), who states that renegotiation costs have to be substantial to facilitate collusion, this result points to a quite different conclusion.
|Date of creation:||22 Mar 2010|
|Date of revision:|
|Contact details of provider:|| Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden|
Phone: +46-(0)8-736 90 00
Fax: +46-(0)8-31 01 57
Web page: http://www.hhs.se/
More information through EDIRC
References listed on IDEAS
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.:
- Kranz, Sebastian & Ohlendorf, Susanne, 2009. "Renegotiation-Proof Relational Contracts with Side Payments," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 259, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Aramendia, Miguel & Larrea, Concepcion & Ruiz, Luis, 2005. "Renegotiation in the repeated Cournot model," Games and Economic Behavior, Elsevier, vol. 52(1), pages 1-19, July.
- Asheim, G.B., 1988.
"Extending Renegotiation-Proofness To Infinite Horizon Games,"
16-88, Norwegian School of Economics and Business Administration-.
- Asheim, Geir B., 1991. "Extending renegotiation-proofness to infinite horizon games," Games and Economic Behavior, Elsevier, vol. 3(3), pages 278-294, August.
- Farrell, Joseph & Maskin, Eric, 1989.
"Renegotiation in repeated games,"
Games and Economic Behavior,
Elsevier, vol. 1(4), pages 327-360, December.
- Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
- Farrell, Joseph & Maskin, Eric, 1987. "Renegotiation in Repeated Games," Department of Economics, Working Paper Series qt9wv3h5jb, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
- David Genesove & Wallace P. Mullin, 2001.
"Rules, Communication, and Collusion: Narrative Evidence from the Sugar Institute Case,"
American Economic Review,
American Economic Association, vol. 91(3), pages 379-398, June.
- Genesove, David & Mullin, Wallace P, 2001. "Rules, Communication and Collusion: Narrative Evidence from the Sugar Institute Case," CEPR Discussion Papers 2739, C.E.P.R. Discussion Papers.
- David Genesove & Wallace P. Mullin, 2001. "Rules, Communication and Collusion: Narrative Evidence from the Sugar Institute Case," NBER Working Papers 8145, National Bureau of Economic Research, Inc.
- van Damme, Eric, 1989.
"Renegotiation-proof equilibria in repeated prisoners' dilemma,"
Journal of Economic Theory,
Elsevier, vol. 47(1), pages 206-217, February.
- van Damme,Eric, 1986. "Renegotiation-proof equilibria in repeated Prisoner`s dilemma," Discussion Paper Serie A 84, University of Bonn, Germany.
- van Damme, E.E.C., 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Other publications TiSEM df9180a1-537e-4331-9f2a-7, Tilburg University, School of Economics and Management.
- Blume Andreas, 1994.
"Intraplay Communication in Repeated Games,"
Games and Economic Behavior,
Elsevier, vol. 6(2), pages 181-211, March.
- Andersson, Ola & Wengstrom, Erik, 2007. "A note on renegotiation in repeated Bertrand duopolies," Economics Letters, Elsevier, vol. 95(3), pages 398-401, June.
- Motta,Massimo, 2004. "Competition Policy," Cambridge Books, Cambridge University Press, number 9780521016919, November.
- McCutcheon, Barbara, 1997. "Do Meetings in Smoke-Filled Rooms Facilitate Collusion?," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 330-50, April.
- Motta,Massimo, 2004. "Competition Policy," Cambridge Books, Cambridge University Press, number 9780521816632, November.
When requesting a correction, please mention this item's handle: RePEc:hhs:hastef:0725. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helena Lundin)
If references are entirely missing, you can add them using this form.