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Published in: Soft Computing 4/2020

02-01-2019 | Focus

A novel uncertain bimatrix game with Hurwicz criterion

Authors: Min Tang, Zhiguo Li

Published in: Soft Computing | Issue 4/2020

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Abstract

In an uncertain bimatrix game, different uncertain equilibrium strategies have been proposed based on different criterions, such as expected value criterion, optimistic value criterion and uncertain measure criterion. This paper further presents an uncertain bimatrix game with Hurwicz criterion and defines a new solution concept Hurwicz Nash equilibrium. Furthermore, its existence theorem is also proved, and a sufficient and necessary condition is presented to find the Hurwicz Nash equilibrium. Finally, an example is provided for illustrating the usefulness of Hurwicz Nash equilibrium.

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Metadata
Title
A novel uncertain bimatrix game with Hurwicz criterion
Authors
Min Tang
Zhiguo Li
Publication date
02-01-2019
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 4/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-03715-4

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