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

Jiuping Xu and Liming Yao

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-22

Abstract:

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 -trust maximin equilibrium strategy are defined. Five cases whether the game exists -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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:404792

DOI: 10.1155/2010/404792

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