Semantics for intuitionistic epistemic logics of shallow depths for game theory created by Nobu-Yuki Suzuki

By:

Suzuki, Nobu-Yuki [author]

Material type: Text

TextSeries: Economic theory ; Volume 53, number 1Berlin: Springer, 2013Content type:

text

Media type:

unmediated

Carrier type:

volume

ISSN:

09382259

Subject(s):

LOC classification:

HB 119 ECO

Online resources:

Click here to access online

Abstract: Epistemic logic of shallow depths has been developed by Kaneko—Suzuki using classical logic. In this paper, we adopt intuitionistic logic as the base logic to limit each player's reasoning to constructive one. The resulting logical system is denoted by IG EF , and we introduce epistemic possible world semantics for IG EF . We show the soundness and completeness of IG EF with respect to this semantics for it. We also show some applications to game theoretical decision making.

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Holdings
Item type	Current library	Call number	Vol info	Copy number	Status	Notes	Date due	Barcode
Journal Article	Main Library - Special Collections	HB119 ECO (Browse shelf(Opens below))	Vol. 53, no.1 (pages 85-110)	SP21035	Not for loan	For in house use only

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Epistemic logic of shallow depths has been developed by Kaneko—Suzuki using classical logic. In this paper, we adopt intuitionistic logic as the base logic to limit each player's reasoning to constructive one. The resulting logical system is denoted by IG EF , and we introduce epistemic possible world semantics for IG EF . We show the soundness and completeness of IG EF with respect to this semantics for it. We also show some applications to game theoretical decision making.

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