Learning the state of nature in repeated games with incomplete information and signals
The motivation of this paper comes from repeated games with incomplete information and imperfect monitoring. It concerns the existence, for any payoff function, of a particular equilibrium (called completely revealing) allowing each player to learn the state of nature. We consider thus an interaction in which players, facing some incomplete information about the state of nature, exchange messages while imperfectly monitoring them. We then ask the question: can players learn the true state even under unilateral deviations? This problem is indeed closely related to Byzantine agreement problems from computer science. We define two different notions describing what a player can learn if at most one other player is faulty. We first link these notions with existence of completely revealing equilibria, then we characterize them for monitoring structures given by a graph. As a corollary we obtain existence of equilibria for a class of undiscounted repeated games.
|Date of creation:||2004|
|Date of revision:|
|Publication status:||Published in Games and Economic Behavior, 2004, Vol. 47, no. 1. pp. 124-156.Length: 32 pages|
|Contact details of provider:|| Web page: http://www.dauphine.fr/en/welcome.html|
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- Ehud Lehrer & Sylvain Sorin, 1994.
"One-Shot Public Mediated Talk,"
1108, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- SORIN, Sylvain, 1988.
"Repeated games with complete information,"
CORE Discussion Papers
1988022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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 Elsevier.
- Renault, J. & Tomala, T., 1997.
"Repeated Proximity Games,"
Papiers d'Economie MathÃ©matique et Applications
97.14, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Ehud Lehrer, 1988.
"Internal Correlation in Repeated Games,"
800, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Gossner, Olivier & Vieille, Nicolas, 2001. "Repeated Communication Through the Mechanism And," Economics Papers from University Paris Dauphine 123456789/6031, Paris Dauphine University.
- 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.
- Renault, Jérôme, 2001. "Learning Sets in State Dependent Signalling Game Forms: A Characterization," Economics Papers from University Paris Dauphine 123456789/6104, Paris Dauphine University.
- GOSSNER, Olivier, 1997.
"Secure protocols or how communication generates correlation,"
CORE Discussion Papers
1997092, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Journal of Economic Theory, Elsevier, vol. 83(1), pages 69-89, November.
- Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, June.
- Gossner, Olivier, 1998. "Secure Protocols or How Communication Generates Correlation," Economics Papers from University Paris Dauphine 123456789/6244, Paris Dauphine University.
- Robert J. Aumann & Sergiu Hart, 2003.
"Long Cheap Talk,"
Econometric Society, vol. 71(6), pages 1619-1660, November.
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