Multiwinner Approval — electing a committee from approval ballots¶
The same Yes/No ballot, more than one seat — and a genuinely new question: should the committee maximize total satisfaction (utilitarian) or make sure every faction gets a voice (egalitarian/proportional)?
That is the multi-winner fork, in Approval clothing — the same decision a scored or ranked ballot faces, put in plain language at Electing more than one, simply. Its scored counterparts are Bloc STAR (majoritarian) and STAR-PR (proportional).
Start here → Approval Voting — Multi-Winner
The pages¶
- Approval Voting — Multi-Winner — the overview: bloc approval vs. the proportional (ABC) rules.
- Electing a committee — making sure people have a voice — the gentle intro to approval-based committee rules.
- ABC rules and the utilitarian–egalitarian spectrum — AV, PAV, seq-Phragmén and friends, placed on one axis.
- Thiele methods — the one dial that turns AV into CC, and where STAR-PR fits.
- Satisfaction Approval Voting (SAV) — the rule that sits beside the Thiele family: one vote per ballot, split among your marks. Disjoint from AV on the same ballots, clone-punishing where AV is clone-rewarding, and honest about its own failures..
Which of them keep their promises¶
The pages above say what each rule does. 03_Criteria asks what each rule guarantees — the book's Chapter 3, recomputed: Pareto efficiency, committee monotonicity, support monotonicity, consistency, inclusion-strategyproofness and complexity, for all thirteen rules, with every failure shown as a runnable election.
Related¶
- Runnable multi-winner Approval elections:
04_Approval/02_Examples/multiwinner/· proportional concepts: proportional representation