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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/404792 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |