The goal of this paper is to propose and study properties of multiwinner voting rules (with a particular focus on rules based in some way on single-winner scoring rules). We consider, e.g., SNTV, Bloc, k-Borda, STV, and several variants of Chamberlin–Courant’s and Monroe’s rules, identify two natural approaches to defining multiwinner rules, and show that many of our rules can be captured by on...
