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Interactive and common knowledge of information partitions

Moscati, Ivan (2007) Interactive and common knowledge of information partitions. LSE Choice Group working paper series, vol. 3, no. 6. The Centre for Philosophy of Natural and Social Science (CPNSS), London, UK.

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Abstract

This paper addresses the question whether interactive knowledge and common knowledge of information partitions are additional assumptions in the state-space model of knowledge. Robert Aumann and others have already discussed this issue, but in a way that appears unsatisfactory. This paper provides a thorough answer to the question in four steps. First, it makes clear the methodological nature of the puzzles surrounding interactive and common knowledge of information partitions. Second, it points out two properties – labeled as Substitutivity and Immediacy – that knowledge holds in the state-space model, and that have received little attention in the literature. Third, based on the previous two steps, the paper demonstrates that interactive and common knowledge of information partitions are not additional assumptions of the state-space model of knowledge; this is the main contribution of the work. Finally, the Appendix of the paper offers a critical examination of Aumann’s discussion of the issue.

Item Type: Monograph (Working Paper)
Official URL: http://www2.lse.ac.uk/CPNSS/Home.aspx
Additional Information: © 2007 The author
Library of Congress subject classification: B Philosophy. Psychology. Religion > B Philosophy (General)
Sets: Research centres and groups > LSE Choice Group
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: vol. 3, no. 6
Date Deposited: 05 May 2009 09:14
URL: http://eprints.lse.ac.uk/23878/

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