IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this article

The optimal degree of cooperation in the repeated Prisoners' Dilemma with side payments

  • Fong, Yuk-fai
  • Surti, Jay

In the infinitely repeated Prisoners' Dilemma with side payments, we characterize the Pareto frontier of the set of subgame perfect equilibrium payoffs for all possible combinations of discount factors. Play paths implementing Pareto dominant equilibrium payoffs are uniquely determined in all but the first period. Full cooperation does not necessarily implement these payoffs even when it maximizes total stage game payoffs. Rather, when the difference in players' discount factors is sufficiently large, Pareto dominant equilibrium payoffs are implemented by partial cooperation supported by repeated payments from the impatient to the patient player. When both players are sufficiently patient, such payoffs, while implemented via full cooperation, are supported by repeated payments from the impatient to the patient player. We characterize conditions under which public randomization has no impact on the Pareto dominant equilibrium payoffs and conditions under which such payoffs are robust to renegotiation.

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.sciencedirect.com/science/article/pii/S0899-8256(08)00206-6
Download Restriction: Full text for ScienceDirect subscribers only

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.

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 67 (2009)
Issue (Month): 1 (September)
Pages: 277-291

as
in new window

Handle: RePEc:eee:gamebe:v:67:y:2009:i:1:p:277-291
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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. 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.
  2. George J. Mailath & Ichiro Obara & Tadashi Sekiguchi, . "The Maximum Efficient Equilibrium Payoff in the Repeated Prisoners' Dilemma," Penn CARESS Working Papers 83719e84b6825736ffcfdfacb, Penn Economics Department.
  3. 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.
  4. Wilkie, Simon & Jackson, Matthew O., 2002. "Endogenous Games and Mechanisms: Side Payments Among Players," Working Papers 1150, California Institute of Technology, Division of the Humanities and Social Sciences.
  5. Barrett, Scott, 2001. "International cooperation for sale," European Economic Review, Elsevier, vol. 45(10), pages 1835-1850, December.
  6. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
  7. D. Fudenberg & David K. Levine, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 508, David K. Levine.
  8. Schmidt, Klaus M., 1993. "Reputation and Equilibrium Characterization in Repeated Games with Conflicting Interests," Munich Reprints in Economics 3395, University of Munich, Department of Economics.
  9. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
  10. H. Lorne Carmichael & W. Bentley MacLeod, 1997. "Gift Giving and the Evolution of Cooperation," Boston College Working Papers in Economics 338., Boston College Department of Economics.
  11. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.
  12. Andreoni,J. & Varian,H., 1999. "Pre-play contracting in the prisoners' dilemma," Working papers 18, Wisconsin Madison - Social Systems.
  13. Baliga, Sandeep & Evans, Robert, 2000. "Renegotiation in Repeated Games with Side-Payments," Games and Economic Behavior, Elsevier, vol. 33(2), pages 159-176, November.
  14. Ehud Lehrer & Ady Pauzner, 1999. "Repeated Games with Differential Time Preferences," Econometrica, Econometric Society, vol. 67(2), pages 393-412, March.
  15. Friedel Bolle, 2001. "Why to Buy Your Darling Flowers: On Cooperation and Exploitation," Theory and Decision, Springer, vol. 50(1), pages 1-28, February.
Full references (including those not matched with items on IDEAS)

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

When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:67:y:2009:i:1:p:277-291. 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: (Shamier, Wendy)

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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.