Advanced Search
MyIDEAS: Login to save this paper or follow this series

Prisoners' Other Dilemma

Contents:

Author Info

  • Blonski, Matthias
  • Spagnolo, Giancarlo

Abstract

Collusive agreements and relational contracts are commonly modeled as equilibria of dynamic games with the strategic features of the repeated Prisoner's Dilemma. The pay-offs agents obtain when being ‘cheated upon’ by other agents play no role in these models. We propose a way to take these pay-offs into account, and find that cooperation as equilibrium of the infinitely repeated discounted Prisoner's Dilemma is often implausible: for a significant subset of the pay-off discount factor parameter space, all cooperation equilibria are strictly risk dominated in the sense of Harsanyi and Selten (1988). We derive an easy-to-calculate critical level for the discount factor below which this happens, also function of pay-offs obtained when others defect, and argue it is a better measure for the ‘likelihood’ of cooperation than the critical level at which cooperation is supportable in equilibrium. Our results apply to other games sharing the strategic structure of the Prisoner's Dilemma (repeated oligopolies, relational-contracting models, etc.). We illustrate our main result for collusion equilibria in the repeated Cournot duopoly.

Download Info

If 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.
File URL: http://www.cepr.org/pubs/dps/DP3856.asp
Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

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 Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3856.

as in new window
Length:
Date of creation: Apr 2003
Date of revision:
Handle: RePEc:cpr:ceprdp:3856

Contact details of provider:
Postal: Centre for Economic Policy Research, 77 Bastwick Street, London EC1V 3PZ.
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820

Order Information:
Email:

Related research

Keywords: cartel stability; collusion; cooperation; relational contracts; repeated games; risk dominance; strategic risk;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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.:
as in new window
  1. Damme, E.E.C. van & Hurkens, J.P.M., 1999. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154410, Tilburg University.
  2. van Damme,Eric, 1986. "Renegotiation-proof equilibria in repeated Prisoner`s dilemma," Discussion Paper Serie A 84, University of Bonn, Germany.
  3. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  4. John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 1225, David K. Levine.
  5. Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
  6. Damme, E.E.C. van & Hurkens, J.P.M., 1998. "Endogenous price leadership," Discussion Paper 98.68, Tilburg University, Center for Economic Research.
  7. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
  8. Eric van Damme & Sjaak Hurkens, 2001. "Endogenous price leadership," Economics Working Papers 581, Department of Economics and Business, Universitat Pompeu Fabra.
  9. Harsanyi John C., 1995. "A New Theory of Equilibrium Selection for Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 10(2), pages 318-332, August.
  10. Ehud Lehrer & Ady Pauzner, 1999. "Repeated Games with Differential Time Preferences," Econometrica, Econometric Society, vol. 67(2), pages 393-412, March.
  11. Damme, E.E.C. van, 1989. "Renegotiation-proof equilibria in repeated prisoners' dilemma," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154423, Tilburg University.
  12. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  13. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
  14. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
  15. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Giancarlo Spagnolo, 2004. "Divide et Impera. Optimnal Deterrence Mechanisms Against Cartels and Organized Crime," Econometric Society 2004 North American Winter Meetings 485, Econometric Society.
  2. Pedro Dal Bo & Guillaume R. Frechette, . "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," Working Papers 2007-7, Brown University, Department of Economics.
  3. Matthias Blonski & Peter Ockenfels & Giancarlo Spagnolo, 2011. "Equilibrium Selection in the Repeated Prisoner's Dilemma: Axiomatic Approach and Experimental Evidence," American Economic Journal: Microeconomics, American Economic Association, vol. 3(3), pages 164-92, August.
  4. Bigoni, Maria & Le Coq, Chloé & Fridolfsson, Sven-Olof & Spagnolo, Giancarlo, 2008. "Risk Aversion, Prospect Theory, and Strategic Risk in Law Enforcement: Evidence From an Antitrust Experiment," Working Paper Series in Economics and Finance 696, Stockholm School of Economics.
  5. Leliefeld, D. & Motchenkova, E., 2007. "To Protect in Order to Serve: Adverse Effects of Leniency Programs in View of Industry Asymmetry," Discussion Paper 2007-007, Tilburg University, Tilburg Law and Economic Center.
  6. Blonski, Matthias & Spagnolo, Giancarlo, 2002. "Relational Contracts and Property Rights," CEPR Discussion Papers 3460, C.E.P.R. Discussion Papers.
  7. Gabriele Camera & Marco Casari & Maria Bigoni, 2010. "Cooperative Strategies in Groups of Strangers: An Experiment," Purdue University Economics Working Papers 1237, Purdue University, Department of Economics.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:3856. 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: ().

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.