Knowing and supposing in games of perfect information
Studia Logica 86 (3):353 - 373 (2007)
| Abstract | The paper provides a framework for representing belief-contravening hypotheses in games of perfect information. The resulting t-extended information structures are used to encode the notion that a player has the disposition to behave rationally at a node. We show that there are models where the condition of all players possessing this disposition at all nodes (under their control) is both a necessary and a sufficient for them to play the backward induction solution in centipede games. To obtain this result, we do not need to assume that rationality is commonly known (as is done in [Aumann (1995)]) or commonly hypothesized by the players (as done in [Samet (1996)]). The proposed model is compared with the account of hypothetical knowledge presented by Samet in [Samet (1996)] and with other possible strategies for extending information structures with conditional propositions | |||||||||
| 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 |
 |
| Through your library | Configure |
Similar books and articlesPhilip 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.
Martin Dufwenberg & Johan Lindén (1996). Inconsistencies in Extensive Games. Erkenntnis 45 (1):103 - 114.
Giacomo Bonanno (1999). Synchronic Information, Knowledge and Common Knowledge in Extensive Games. Research in Economics 53 (1):77-99.
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.
Thorsten Clausing (2004). Belief Revision in Games of Perfect Information. Economics and Philosophy 20 (1):89-115.
Cristina Bicchieri (1988). Backward Induction Without Common Knowledge. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
Giacomo Bonanno (1992). Players' Information in Extensive Games. Mathematical Social Sciences 24 (1):35-48.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads9 ( #114,124 of 549,124 )Recent downloads (6 months)1 ( #63,361 of 549,124 )How can I increase my downloads? |
My notes
Discussion
