Weighted Scoring Committees

Weighted committees allow shareholders, party leaders, etc. to wield different numbers of votes or voting weights as they decide between multiple candidates by a given social choice method. We consider that apply scoring methods such plurality, Borda, antiplurality rule. Many induce the same mapping from committee members’ preferences winning candidates. The respective weight equivalence classes and hence structurally distinct plurality committees, Borda commitees, differ widely. There are 6, 51, 5 respectively, if three players choose up 163 (229) for rules in (Borda antiplurality). A key implication is rule much less sensitive changes than other rules. illustrate geometry classes, with map all identify minimal integer representations.