A Non-Self-Referential Paradox in Epistemic Game Theory
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RIS BIB ENDNOTEA Non-Self-Referential Paradox in Epistemic Game Theory
Publication date: 30.08.2017
Reports on Mathematical Logic, 2017, Number 52, pp. 45 - 56
https://doi.org/10.4467/20842589RM.17.002.7140Authors
A Non-Self-Referential Paradox in Epistemic Game Theory
The beliefs of other people about our own beliefs affect our decision making strategies (and beliefs). In epistemic game theory, player’s beliefs about other players’ beliefs are formalized, and the way how people may reason about other players (before they make their final choice in a game) is explored. In this paper, we introduce a non-self-referential paradox (called “Yablo-like Brandenburger-Keisler paradox”) in epistemic game theory which shows that modeling players’ epistemic beliefs and assumptions in a complete way is impossible. We also present an interactive temporal (belief and) assumption logic to give an appropriate formalization for this Yablo–like Brandenburger-Keisler paradox. Formalizing the new paradox turns it into a theorem in the interactive temporal assumption logic.
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Information: Reports on Mathematical Logic, 2017, Number 52, pp. 45 - 56
Article type: Original article
Titles:
A Non-Self-Referential Paradox in Epistemic Game Theory
A Non-Self-Referential Paradox in Epistemic Game Theory
Behbahan Khatam Alanbia University of Technology Behbahan, Iran
Published at: 30.08.2017
Article status: Open
Licence: CC BY-NC-ND
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