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On Logics of Group Belief in Structured Coalitions

  • Philippe Balbiani
  • David Pearce
  • Levan UridiaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10021)

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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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Université de ToulouseToulouseFrance
  2. 2.Universidad Politécnica de MadridMadridSpain
  3. 3.Razmadze Institute of MathematicsTbilisiGeorgia

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