A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-18
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We concentrate on discussing a class of two-person zero-sum games with rough payoffs.
Based on the expected value operator and the trust measure of rough variables, the expected equilibrium strategy and r-trust maximin equilibrium strategy are defined.
Five cases whether the game exists r-trust maximin equilibrium strategy are discussed, and the technique of genetic algorithm is applied to find the equilibrium strategies.
Finally, a numerical example is provided to illustrate the practicality and effectiveness of the proposed technique.
American Psychological Association (APA)
Xu, Jiuping& Yao, Liming. 2010. A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-469409
Modern Language Association (MLA)
Xu, Jiuping& Yao, Liming. A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-469409
American Medical Association (AMA)
Xu, Jiuping& Yao, Liming. A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-469409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469409