Decision by majority and the right to vote

The (relative) majority rule is a benchmark collective decision norm. This paper provides a simple characterization of the majority rule, for the two-alternative case, that relies on the following property: the choice prescribed by the rule to a group I of individuals must be the one that would be prescribed in at least 50% of the strict subgroups that can be formed in I. This property means if some subgroup is denied the right to participate in the collective decision, the most likely event is that the exclusion of the subgroup will have no effect on the decision.