A Laplace's principle based approach for solving fuzzy matrix games

We introduce a solution for matrix games with fuzzy payoffs via the α -cuts and the introduction of Nature as a third player expressing the uncertainty involved in the game. The beliefs of players about the behavior of Nature are based on the Laplace’s principle of “insufficient reason”. Moreover, w...

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Bibliographic Details
Main Author: Larbani, Moussa
Format: Book Chapter
Language:English
Published: NOVA Publisher 2010
Subjects:
Online Access:http://irep.iium.edu.my/13485/
http://irep.iium.edu.my/13485/1/NOVA_PUblisher_Paper_PDF.pdf
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Summary:We introduce a solution for matrix games with fuzzy payoffs via the α -cuts and the introduction of Nature as a third player expressing the uncertainty involved in the game. The beliefs of players about the behavior of Nature are based on the Laplace’s principle of “insufficient reason”. Moreover, we provide a procedure for computing the introduced solution.