Characterizing Belief-Free Review-Strategy Equilibrium Payoffs under ConditionalIndependence
Abstract
This paper proposes and studies a tractable subset of Nash equilibria, belief-free review-strategy equilibria, in repeated games with private monitoring. The payoff set of this class of equilibria is characterized in the limit as the discount factor converges to one for games where players observe statistically independent signals. As an application, we develop a simple sufficient condition for the existence of asymptotically efficient equilibria, and establish a folk theorem for N-player prisoner’s dilemma. All these results are robust to a perturbation of the signal distribution, and hence remain true even under almost-independent monitoring.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.Bibliographic Info
Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 12-005.Length: 74 pages
Date of creation: 22 Feb 2012
Date of revision:
Handle: RePEc:pen:papers:12-005
Contact details of provider:
Postal: 3718 Locust Walk, Philadelphia, PA 19104
Phone: 215-898-9992
Fax: 215-573-2378
Email:
Web page: http://economics.sas.upenn.edu/pier
More information through EDIRC
Related research
Keywords: repeated game; private monitoring; conditional independence; belief-free review-strategy equilibrium; prisoner’s dilemma;Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-08 (All new papers)
- NEP-CTA-2012-03-08 (Contract Theory & Applications)
- NEP-GTH-2012-03-08 (Game Theory)
- NEP-MIC-2012-03-08 (Microeconomics)
References
References listed on IDEASPlease 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.:
- Johannes Hörner & Wojciech Olszewski, 2006.
"The Folk Theorem for Games with Private Almost-Perfect Monitoring,"
Econometrica,
Econometric Society, vol. 74(6), pages 1499-1544, November.
- Johannes Horner & Wojciech Olszewski, 2005. "The Folk Theorem for Games with Private, Almost-Perfect Monitoring," NajEcon Working Paper Reviews 172782000000000006, www.najecon.org.
- Hitoshi Matsushima, 2003.
"Repeated Games with Private Monitoring: Two Players,"
CIRJE F-Series
CIRJE-F-242, CIRJE, Faculty of Economics, University of Tokyo.
- Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05.
- Joseph E. Harrington & Andrzej Skrzypacz, 2011.
"Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices,"
American Economic Review,
American Economic Association, vol. 101(6), pages 2425-49, October.
- Joseph E. Harrington, Jr. & Andrzej Skrzypacz, 2009. "Private Monitoring and Communication in Cartels: Explaining Recent Collusive Practices," Economics Working Paper Archive 555, The Johns Hopkins University,Department of Economics.
- Michihiro Kandori & Hitoshi Matsushima, 1997. "Private observation and Communication and Collusion," Levine's Working Paper Archive 1256, David K. Levine.
- Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005.
"Belief-Free Equilibria in Repeated Games,"
Econometrica,
Econometric Society, vol. 73(2), pages 377-415, 03.
- Jeffrey C. Ely & Johannes Horner & Wojciech Olszewski, 2003. "Belief-free Equilibria in Repeated Games," Levine's Working Paper Archive 666156000000000367, David K. Levine.
- Ichiro Obara, 2005.
"Folk Theorem with Communication,"
UCLA Economics Online Papers
366, UCLA Department of Economics.
- Obara, Ichiro, 2009. "Folk theorem with communication," Journal of Economic Theory, Elsevier, vol. 144(1), pages 120-134, January.
- Ichiro Obara, 2007. "Folk Theorem with Communication," Levine's Bibliography 784828000000000351, UCLA Department of Economics.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Yuichi Yamamoto, 2012. "Individual Learning and Cooperation in Noisy Repeated Games," PIER Working Paper Archive 12-044, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:pen:papers:12-005For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dolly Guarini).
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.

