Reasoning About Games

Studia Logica 99 (1-3):143-169 (2011)
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Abstract

is used to give a formalization of Artemov’s knowledge based reasoning approach to game theory, (KBR), [ 4 , 5 ]. Epistemic states of players are represented explicitly and reasoned about formally. We give a detailed analysis of the Centipede game using both proof theoretic and semantic machinery. This helps make the case that PDL + E can be a useful basis for the logical investigation of game theory

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Melvin Fitting
CUNY Graduate Center

Citations of this work

Reasoning About Games.Melvin Fitting - 2011 - Studia Logica 99 (1-3):143-169.
Propositional dynamic logic for searching games with errors.Bruno Teheux - 2014 - Journal of Applied Logic 12 (4):377-394.
Proof theory of epistemic logic of programs.Paolo Maffezioli & Alberto Naibo - 2014 - Logic and Logical Philosophy 23 (3):301--328.
Towards Paraconsistent Inquiry.Can Baskent - 2016 - Australasian Journal of Logic 13 (2):21-40.

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References found in this work

Knowledge and belief.Jaakko Hintikka - 1962 - Ithaca, N.Y.,: Cornell University Press.
Explicit provability and constructive semantics.Sergei N. Artemov - 2001 - Bulletin of Symbolic Logic 7 (1):1-36.
The logic of justification.Sergei Artemov - 2008 - Review of Symbolic Logic 1 (4):477-513.

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