An adaptation of the Kemeny rule (Kemeny 1959) was proposed by Ratliff (2003) for committees elections. A Committee is a fixed-size subset of candidates. Ratliff (2003) showed that the elected committee under the rule he proposed is not always made of the top candidates of the Kemeny ranking. We...

The Increasing Committee Size Paradox is a voting inconsistency that occurs under voting systems where voters cast exactly k votes when there are k seats to fill. This paradox occurs when, given an elected committee of size k, one of its member could not be elected if we were to elect a...