Reasoning-based introspection

Olivier Gossner (1, 2, 3) , Elias Tsakas (4)

1 PSE - Paris-Jourdan Sciences Economiques
2 PSE - Paris School of Economics
3 LSE - London School of Economics and Political Science
4 Maastricht University [Maastricht]

We show that if an agent reasons according to standard inference rules, the truth and introspection axioms extend from the set of non-epistemic propositions to the whole set of propositions. This implies that the usual axiomatization of partitional possibility correspondences is redundant, and provides a justification for truth and introspection that is partly based on reasoning.

Keywords: Knowledge; Introspection; Truth axiom; Partitional information structures; Epistemic game theory

Domains: Humanities and Social Sciences; Economics and Finance

Olivier Gossner, Elias Tsakas. Reasoning-based introspection. Theory and Decision, 2012, 73 (4), pp.513-523. ⟨10.1007/s11238-011-9284-1⟩. ⟨halshs-00754575⟩