Direct and indirect common belief

Emiliano Lorini (1, 2) , Andreas Herzig (1, 2)

1 IRIT-LILaC - Logique, Interaction, Langue et Calcul
2 CNRS - Centre National de la Recherche Scientifique

We give informal definitions of the concepts of direct and indirect common belief, illustrating them by an example. We then provide an analysis of these concepts within public announcement logic (PAL). The conceptual distinction between direct common belief and indirect common belief is important because it identifies two social phenomena which rely on different forms of agents’ cognitive capabilities. It is moreover relevant for speech act theory.

Mots clés: common belief; shared inference; doxastic logic; public announcement logic (PAL); indication

Domaines: Informatique [cs]

Emiliano Lorini, Andreas Herzig. Direct and indirect common belief. Konzelmann Ziv, Anita; Schmid, Hans Bernhard. Institutions, Emotions, and Group Agents: Contributions to Social Ontology, 2, Springer, pp.355--372, 2014, Studies in the Philosophy of Sociality book series (SIPS), 978-94-007-6933-5. ⟨10.1007/978-94-007-6934-2_22⟩. ⟨hal-03220749⟩