Communication equilibrium payoffs in repeated games with imperfect monitoring
We characterize the set of communication equilibrium payoffs of any undiscounted repeated matrix-game with imperfect monitoring and complete information. For two-player games, a characterization is provided by Mertens, Sorin, and Zamir (Repeated games, Part A (1994) CORE DP 9420), mainly using Lehrer's (Math. Operations Res. (1992) 175) result for correlated equilibria. The main result of this paper is to extend this characterization to the n-player case. The proof of the characterization relies on an analogy with an auxiliary 2-player repeated game with incomplete information and imperfect monitoring. We use Kohlberg's (Int. J. Game Theory (1975) 7) result to construct explicitly a canonical communication device for each communication equilibrium payoff.
(This abstract was borrowed from another version of this item.)
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.
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.
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.:
- Renault, Jérôme, 2001.
"3-player repeated games with lack of information on one side,"
Economics Papers from University Paris Dauphine
123456789/6538, Paris Dauphine University.
- Jérôme Renault, 2001. "3-player repeated games with lack of information on one side," International Journal of Game Theory, Springer, vol. 30(2), pages 221-245.
- Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, June.
- Lehrer, E, 1989. "Lower Equilibrium Payoffs in Two-Player Repeated Games with Non-observable Actions," International Journal of Game Theory, Springer, vol. 18(1), pages 57-89.
- Renault, Jérôme, 2000. "On Two-Player Repeated Games with Lack of Information on One Side and State-Independent Signalling," Economics Papers from University Paris Dauphine 123456789/6109, Paris Dauphine University.
- Sorin, Sylvain, 1992.
"Repeated games with complete information,"
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107
- F. Forges, 2010.
"An Approach to Communication Equilibrium,"
Levine's Working Paper Archive
516, David K. Levine.
- Tomala, Tristan, 1999. "Nash Equilibria of Repeated Games with Observable Payoff Vectors," Games and Economic Behavior, Elsevier, vol. 28(2), pages 310-324, August.
- Renault, J. & Tomala, T., 1997.
"Repeated Proximity Games,"
Papiers d'Economie MathÃ©matique et Applications
97.14, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Lehrer, E, 1990. "Nash Equilibria of n-Player Repeated Games with Semi-standard Information," International Journal of Game Theory, Springer, vol. 19(2), pages 191-217.
- Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:49:y:2004:i:2:p:313-344. 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: (Zhang, Lei)
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.