Nash Equilibrium of Fuzzy Two-Person Zero-Sum Game with Multi-Goals Based on the Choquet Integral
Qiang Zhang · Transactions of Beijing Institute of Technology · 2008
The Nash equilibrium of fuzzy two-person zero-sum game is investigated by the Choquet integral.gλ-measure is introduced to describe the importance of any goals' subset.A kind of aggregated game matrix of the fuzzy two-person zero-sum game with multi-goals was constructed based on the Choquet integral with respect to the gλ-measure.It certifies the conclusion that the Nash equilibrium of the aggregated game matrix was also that of each fuzzy two-person zero-sum game with a single goal.