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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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Submitted on : Tuesday, November 28, 2017 - 12:02:50 PM
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  • HAL Id : hal-01650173, version 1
  • OATAO : 19194


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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