Some Non-Classical Approaches to the Branderburger-Keisler Paradox

Computer Science – Computer Science and Game Theory

Scientific paper

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Scientific paper

In this paper, we discuss a well-known self-referential paradox in
foundational game theory, the Brandenburger - Keisler paradox. We approach the
paradox from two different perspectives: non-well-founded set theory and
paraconsistent logic. We show that the paradox persists in both frameworks for
category theoretical reasons, but, with different properties.

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