Balbiani, Philippe and Pearce, David and Uridia, Levan
On logics of group belief in structured coalitions.
(2016)
In: 15th European Conference On Logics In Artificial Intelligence (JELIA 2016), 9 November 2016 - 11 November 2016 (Larnaca, Cyprus).
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(Document in English)
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Official URL: https://doi.org/10.1007/978-3-319-48758-8_7
Abstract
In the study of group belief formation, groups of agents are often assumed to possess a topological structure. Here we investigate some ways in which this topological structure may provide the semantical basis for logics of group belief. We impose a partial order on a set of agents first to be able to express preferences of agents by their doxastic abilities, secondly to express the idea of a coalition (well formed group) and thirdly to give a natural semantics for the group belief operator. We define the group belief of a set of agents in two different ways and study their corresponding logics. We also study a logic where doxastic preference is expressed by a binary operator. We prove completeness and discuss correspondences between the logics.
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