Synchronic information, knowledge and common knowledge in extensive games
Research in Economics 53 (1):77-99 (1999)
| Abstract | Restricting attention to the class of extensive games defined by von Neumann and Morgenstern with the added assumption of perfect recall, we specify the information of each player at each node of the game-tree in a way which is coherent with the original information structure of the extensive form. We show that this approach provides a framework for a formal and rigorous treatment of questions of knowledge and common knowledge at every node of the tree. We construct a particular information partition for each player and show that it captures the notion of maximum information in the sense that it is the finest within the class of information partitions that satisfy four natural properties. Using this notion of “maximum information” we are able to provide an alternative characterization of the meet of the information partitions | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,701 |
| External links |
  Try with proxy. |
| Through your library | Configure |
Similar books and articlesDietmar Berwanger & Łukasz Kaiser (forthcoming). Information Tracking in Games on Graphs. Journal of Logic, Language and Information.
Giacomo Bonanno (2004). Memory and Perfect Recall in Extensive Games. Games and Economic Behavior 47 (2):237-256.
Martin Dufwenberg & Johan Lindén (1996). Inconsistencies in Extensive Games. Erkenntnis 45 (1):103 - 114.
Cristina Bicchieri & Gian Aldo Antonelli (1995). Game-Theoretic Axioms for Local Rationality and Bounded Knowledge. Journal of Logic, Language and Information 4 (2):145-167.
Edward Epsen (2007). Games with Zero-Knowledge Signaling. Studia Logica 86 (3):403 - 414.
Cristina Bicchieri (1988). Backward Induction Without Common Knowledge. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
Philip J. Reny (1988). Common Knowledge and Games with Perfect Information. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:363 - 369.
Giacomo Bonanno (2004). A Characterization of Von Neumann Games in Terms of Memory. Synthese 139 (2):281 - 295.
Giacomo Bonanno (1992). Players' Information in Extensive Games. Mathematical Social Sciences 24 (1):35-48.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads3 ( #202,008 of 549,122 )Recent downloads (6 months)1 ( #63,361 of 549,122 )How can I increase my downloads? |
My notes
Discussion
