基于模糊方法的多人合作对策的研究

多人合作对策模型中联盟的收入和总体的收入常常出现相互矛盾的情况 ,此时核是空集 .由于不存在核 ,无法用 Nash-Harsanyi谈判模型求解 .采用模糊数学方法 ,调整模型中线性约束的右端系数 ,使核在一定程度上是非空集合 ,得到模糊意义下的 Nash平衡解 .该方法一定程度上解决了各联盟收入与总体收入的矛盾 .最后通过一个算例说明该方法的可行性 .

Study of Multiple-person Cooperation Game Based on Fuzzy Set

The conflict usually takes place between the income of coalition and integration in model of multiple-person cooperation game. Because the core is empty set, the model doesn′t solved by using negotiation model of Nash-Harsanyi. This paper adjusts the right coefficient of linearly constrained to make core non-empty set by using fuzzy mathematic techniques. The model is solved by using negotiation model of Nash-Harsanyi and we illustrate its performance on a numerical example.