In this article, we discuss a well-known self-referential paradox in epistemic game theory, the Brandenburger-Keisler paradox. We approach the paradox from two different perspectives, non-well-founded set theory and paraconsistent logic, and provide models in which the paradox is solved.
- Brandenburger-Keisler paradox
- Epistemic game theory
- Non-well-founded sets
- Paraconsistent logic
- Topological models of modal logic