A characterization of proportionally representative committees
This work addresses the challenge of ensuring fair representation in committee selection for voting systems, but it appears incremental as it builds on existing axioms and rules.
The paper tackled the problem of characterizing proportionally representative committees by linking them to the Minimal Demand rule, showing that committees satisfying Proportionality of Solid Coalitions (PSC) can be derived from this rule.
A well-known axiom for proportional representation is Proportionality of Solid Coalitions (PSC). We characterize committees satisfying PSC as possible outcomes of the Minimal Demand rule, which generalizes an approach pioneered by Michael Dummett.