A Formal Model of Multi-Agent Belief-Interaction
- John Cantwell
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A semantics is presented for belief revision in the face of common announcements to a group of agents that have beliefs about each other’s beliefs. The semantics is based on the idea that possible worlds can be viewed as having an internal-structure, representing the belief independent features of the world, and the respective belief states of the agents in a modular fashion. Modularity guarantees that changing one aspect of the world (a belief independent feature or a belief state) has no effect on any other aspect of the world. This allows us to employ an AGM-style selection function to represent revision. The semantics is given a complete axiomatisation (identical to the axiomatisation found by Gerbrandy and Groeneveld for a semantics based on non-wellfounded set theory) for the special case of expansion.
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- A Formal Model of Multi-Agent Belief-Interaction
Journal of Logic, Language and Information
Volume 15, Issue 4 , pp 303-329
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers
- Additional Links
- common announcements
- dynamic logic
- epistemic logic
- common knowledge
- belief revision
- John Cantwell (1)
- Author Affiliations
- 1. The Philosophy Unit, The Royal Institute of Technology, Teknikringen 78b, 100 44, Stockholm, Sweden