Players' information in extensive games
Mathematical Social Sciences 24 (1):35-48 (1992)
| Abstract | This paper suggests a way of formalizing the amount of information that can be conveyed to each player along every possible play of an extensive game. The information given to each player i when the play of the game reaches node x is expressed as a subset of the set of terminal nodes. Two definitions are put forward, one expressing the minimum amount of information and the other the maximum amount of information that can be conveyed without violating the constraint represented by the information sets. Our definitions provide intuitive characterizations of such notions as perfect recall, perfect information and simultanetty. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | No categories specified (fix it) | |||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,865 |
| External links |
|
| Through your library | Configure |
Giacomo Bonanno (1999). Synchronic Information, Knowledge and Common Knowledge in Extensive Games. Research in Economics 53 (1):77-99.
Giacomo Bonanno (2004). A Characterization of Von Neumann Games in Terms of Memory. Synthese 139 (2):281 - 295.
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.
Horacio Arló-Costa & Cristina Bicchieri (2007). Knowing and Supposing in Games of Perfect Information. Studia Logica 86 (3):353 - 373.
Wlodek Rabinowicz (1998). Grappling With the Centipede: Defence of Backward Induction for BI-Terminating Games. Economics and Philosophy 14 (01):95-.
Dietmar 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.
Cristina Bicchieri (1988). Backward Induction Without Common Knowledge. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
Gabriel Sandu (1993). On the Logic of Informational Independence and its Applications. Journal of Philosophical Logic 22 (1):29 - 60.
Monthly downloads |
Added to index2011-04-02Total downloads3 ( #203,804 of 556,808 )Recent downloads (6 months)1 ( #64,847 of 556,808 )How can I increase my downloads? |

