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On logics of group belief in structured coalitions

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.
Keywords : Logic
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  • HAL Id : hal-01650173, version 1
  • OATAO : 19194

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Philippe Balbiani, David Pearce, Levan Uridia. On logics of group belief in structured coalitions. 15th European Conference On Logics In Artificial Intelligence (JELIA 2016), Nov 2016, Larnaca, Cyprus. pp. 97-111. ⟨hal-01650173⟩

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