1990 Volume 3 Issue 12 Pages 398-404
All constituents in one real group sometimes do not have equal influence on group decision-making. Such is the case when a constituent gives another constituent full power of attorney on a blank sheet of paper.
It is reasonable that collective choice rules with subordinate relations as the variables are used to such group decision-making. Then there sometimes exist subordinate relations, with which the influence of a constituent is connected such that its preference relation can be only reflected to the social preference relation in a collective choice rule. The relations are called the “winning subordinations” of the constituent in the rule.
In this paper, properties of winning subordinations in two collective choice rules under majority rules are investigated when the subordinate relations are transitive. The subordinate degree of the influence is independent of the subordinate relations in one of the two rules. It is dependent of them in the other rule.