Common knowledge in interaction structures

Authors
Publication date 2009
Book title 12th Conference on Theoretical Aspects of Rationality and Knowledge
Book subtitle TARK '09 : California, July 06-08, 2009
ISBN (electronic)
  • 9781605585604
Event 12th Conference on Theoretical Aspects of Rationality and Knowledge, TARK '09
Pages (from-to) 4-13
Publisher New York: ACM
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We consider two simple variants of a framework for reasoning about knowledge amongst communicating groups of players. Our goal is to clarify the resulting epistemic issues. In particular, we investigate what is the impact of common knowledge of the underlying hypergraph connecting the players, and under what conditions common knowledge distributes over disjunction. We also obtain two versions of the classic result that common knowledge cannot be achieved in the absence of a simultaneous event (here a message sent to the whole group).
Document type Conference contribution
Language English
Published at http://doi.acm.org/10.1145/1562814.1562820
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