A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs

A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs

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 maxi...

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Main Authors: Jiuping Xu, Liming Yao
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/404792
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spelling doaj-9077b130ecca4a7b886bb4b52991821a2020-11-24T20:56:51ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/404792404792A Class of Two-Person Zero-Sum Matrix Games with Rough PayoffsJiuping Xu0Liming Yao1Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaUncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaWe 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.http://dx.doi.org/10.1155/2010/404792
collection DOAJ
language English
format Article
sources DOAJ
author Jiuping Xu
Liming Yao
spellingShingle Jiuping Xu
Liming Yao
A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
International Journal of Mathematics and Mathematical Sciences
author_facet Jiuping Xu
Liming Yao
author_sort Jiuping Xu
title A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
title_short A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
title_full A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
title_fullStr A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
title_full_unstemmed A Class of Two-Person Zero-Sum Matrix Games with Rough Payoffs
title_sort class of two-person zero-sum matrix games with rough payoffs
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2010-01-01
description 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.
url http://dx.doi.org/10.1155/2010/404792
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AT limingyao aclassoftwopersonzerosummatrixgameswithroughpayoffs
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AT limingyao classoftwopersonzerosummatrixgameswithroughpayoffs
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