群体决策的α-较多扩展规则及其充要条件

α-Majority Extension Rule for Group Decision Making and Its Necessary and Sufficient Conditions

集体选择规则的理性检验,是群体决策研究的基本理论课题.对于群体决策的简单多数规则,May K O曾建立了它的充要条件,Sen A K则给出了Pareto扩展规则的充要条件.笔者引进群体决策的一个包括简单多数规则为其特例的带参数α的α-较多扩展规则,在证明它满足的一组理性必要条件的基础上,也建立了它的充要条件.

Rational test for collective choice rule is a basic theoretical topic in studying group decision making.For simple majority rule,May K O has established its necessary and sufficient conditions,and for Pareto extension rule,Sen A K has also given its necessary and sufficient conditions.In this paper,theα-majority extension rule with parameterα,which contains simple majority rule as its special case,for group decision making is introduced and a necessary and sufficient condition forα-majority extension rule is also established on the basis of proving that the rule satisfies a set of necessary conditions.