A Yabloesque paradox in epistemic game theory

Can Baskent

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Abstract

The Brandenburger–Keisler paradox is a self-referential paradox in epistemic game theory which can be viewed as a two-person version of Russell’s Paradox. Yablo’s Paradox, according to its author, is a non-self referential paradox, which created a significant impact. This paper gives a Yabloesque, non-self-referential paradox for infinitary players within the context of epistemic game theory. The new paradox advances both the Brandenburger–Keisler and Yablo results. Additionally, the paper constructs a paraconsistent model satisfying the paradoxical statement.

Original languageEnglish
Pages (from-to)441–464
Number of pages24
JournalSynthese
Volume195
Issue number1
Early online date1 Oct 2016
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Epistemic game theory
  • Paraconsistent logic
  • The Brandenburger–Keisler paradox
  • Yablo’s Paradox

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