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

Markov perfection and cooperation in repeated games

Contents:

Author Info

  • Stähler, Frank

Abstract

Markov perfection has become the usual solution concept to determine the non-cooperative equilibrium in a dynamic game. However, Markov perfection is a stronger solution concept than subgame perfection: Markov perfection rules out any cooperation in a repeated prisoners' dilemma game because the history of previous cooperation does neither change the future action space nor the possible payoffs in this setting. This paper demonstrates that a dynamic modelling approach may sustain cooperation by Markov perfect strategies in situations which are usually modelled as repeated prisoners' dilemma games. The idea is that past defection from cooperation changes a compliance state variable which enters the utility function. The corresponding dynamic games are discussed for the trigger strategy and for a strategy which is weakly renegotiation-proof. Finally, the paper shows that dynamic game modelling improves the chances for strong renegotiation-proofness in the corresponding repeated game.

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://econstor.eu/bitstream/10419/46946/1/257764410.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number 760.

as in new window
Length:
Date of creation: 1996
Date of revision:
Handle: RePEc:kie:kieliw:760

Contact details of provider:
Postal: Kiellinie 66, D-24105 Kiel
Phone: +49 431 8814-1
Fax: +49 431 85853
Email:
Web page: http://www.ifw-kiel.de
More information through EDIRC

Related research

Keywords: Repeated games; dynamic games; Markov perfection; Folk Theorem;

Find related papers by JEL classification:

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. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
  2. van Damme,Eric, 1986. "Renegotiation-proof equilibria in repeated Prisoner`s dilemma," Discussion Paper Serie A 84, University of Bonn, Germany.
  3. Dutta Prajit K., 1995. "Collusion, Discounting and Dynamic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 289-306, June.
  4. 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.
  5. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
  6. Mohr, Ernst, 1988. "On the Incredibility of Perfect Threats in Repeated Games: Note," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 551-55, August.
  7. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
  8. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
  9. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March.
Full references (including those not matched with items on IDEAS)

Citations

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:kie:kieliw:760. 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: (Dieter Stribny).

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.