This paper contributes to the axiomatization of additive rules for ranking sets of objects under the psychological principle of categorization. Firstly we proceed with the case where the elements in the sets are categorized into at most three groups, namely good (with value 1), neutral (with...

In this paper we characterize axiomatically a ranking method that compares positions in hierarchies in terms of the influence that they provide on the evolvement of knowledge. The comparison takes into account the number of direct and indirect subordinates of the positions and is based on the...

We consider three-sided coalition formation problems when each agent is concerned about his local status as measured by his relative rank position within the group of his own type and about his global status as measured by the weighted sum of the average rankings of the other types of groups. We...