Common Knowledge in Interaction Structures

Details Common Knowledge in Interaction Structures Common Knowledge in Interaction Structures

2009-07-02

arxiv.org/abs/0907.0403v1

Computer Science

Logic in Computer Science

Scientific paper

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).

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