Definition
Justified Representation ( COMSOC)
Let
be a committee of size . The committee satisfies justified representation (JR) if every sufficiently large group that agrees on at least one candidate (a cohesive voter group), i.e., has at least one of its voters represented by committee, i.e.,
Such a group
is called a cohesive voter group.
Intuition
The condition
establishes that the group is sufficiently cohesive: all voters in
Unlike strong justified representation, JR does not require one of these commonly approved candidates to be elected. Instead, it only requires
Hence, at least one voter in the cohesive group must approve at least one elected candidate.
Equivalently,
Thus, JR guarantees one unit of representation to every sufficiently large cohesive group without requiring the committee to elect a candidate unanimously approved by the entire group