  This paper proposes an analysis of the effects of consensus and preference
aggregation on the consistency of pairwise comparisons. We define some boundary
properties for the inconsistency of group preferences and investigate their
relation with different inconsistency indices. Some results are presented on
more general dependencies between properties of inconsistency indices and the
satisfaction of boundary properties. In the end, given three boundary
properties and nine indices among the most relevant ones, we will be able to
present a complete analysis of what indices satisfy what properties and offer a
reflection on the interpretation of the inconsistency of group preferences.
