Theory and Decision 73 (3):423-440 (2012)

Abstract
We study the relationship between common knowledge and the sequence of iterated mutual knowledge from a topological point of view. It is shown that common knowledge is not equivalent to the limit of the sequence of iterated mutual knowledge. On that account the new epistemic operator limit knowledge is introduced and analyzed in the context of games. Indeed, an example is constructed where the behavioral implications of limit knowledge of rationality strictly refine those of common knowledge of rationality. More generally, it is then shown that limit knowledge of rationality is capable of characterizing any solution concept for some appropriate epistemic-topological conditions. Finally, some perspectives of a topologically enriched epistemic framework for games are discussed
Keywords Aumann structures  Common knowledge  Epistemic game theory  Interactive epistemology  Limit knowledge
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11238-011-9257-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,489
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Convention: A Philosophical Study.David Kellogg Lewis - 1969 - Cambridge, MA, USA: Wiley-Blackwell.
Convention: A Philosophical Study.David Lewis - 1969 - Synthese 26 (1):153-157.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Backward Induction Without Common Knowledge.Cristina Bicchieri - 1988 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
First Order Common Knowledge Logics.Frank Wolter - 2000 - Studia Logica 65 (2):249-271.
What Is Common Knowledge?Zachary Ernst - 2011 - Episteme 8 (3):209-226.
Common Knowledge of Rationality in Extensive Games.Boudewijn de Bruin - 2008 - Notre Dame Journal of Formal Logic 49 (3):261-280.
Common Knowledge Logic and Game Logic.Mamoru Kaneko - 1999 - Journal of Symbolic Logic 64 (2):685-700.

Analytics

Added to PP index
2013-12-01

Total views
85 ( #138,651 of 2,520,893 )

Recent downloads (6 months)
1 ( #405,457 of 2,520,893 )

How can I increase my downloads?

Downloads

My notes