群体决策选择函数的强稳定性

Strong-Stability of Choice Function in Group Decision Making

对于群体决策的选优问题 ,引进了它的选择函数的强稳定性概念 ,并给出了判别选择函数强稳定性的条件 .讨论了选择函数强稳定性与群体决策规则的 Gibbard- Satterthwait防操纵性以及非独裁性间的关系 .给出了几种典型群体决策规则的选择函数强稳定性的充分必要条件 .

With respect to the problem of searching optimal alternatives in group decision making , the concept of strong-stability of choice function was introduced, and the strong-stability conditions were discussed in the paper. Moreover, the relationship between the strong-stability of choice function and Gibbard-Satterthwait anti-manipulation, and Arrow's non-dictatorship as well, was studied.