Abstract
We provide an experimental study of committees
that achieve (proportional/extended) justified representation (JR/PJR/EJR). In particular, we ask how
many such committees exist and how varied they
are in terms of voter satisfaction and coverage. We
find that under many natural distributions of preferences a large fraction of randomly selected JR committees also provide PJR and EJR. Further, we find
that the sets of JR committees for our elections are
very varied and include both high-quality ones and
not-so-appealing ones