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

Jiuping Xu, Liming Yao
2010 International Journal of Mathematics and Mathematical Sciences  
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 andr-trust maximin equilibrium strategy are defined. Five cases whether the game existsr-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.
doi:10.1155/2010/404792 fatcat:b6cj75wah5dyzcahurzshtzbpu