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House monotonicity: 134–141  (also called house-size monotonicity) is a property of apportionment methods. These are methods for allocating seats in a...

be satisfied by such a rule is committee monotonicity (also called house monotonicity, a variant of resource monotonicity): if some k candidates are elected...

criterion Monotone preferences in consumer theory Monotonicity (mechanism design) Maskin monotonicity Apart from majority judgment, these systems satisfy...

quotas, then the committee violates EJR+. EJR+ satisfies a weak form of Committee monotonicity: for all k, there is an EJR+ committee W of size k, and...

called justified representation whenever the committee size is at most 5, but might violate it when the committee size is at least 6. SPAV is not precinct...

variant of the property. The Phragmen's sequential rule satisfies committee monotonicity, while MES fails the property.: Appendix A  MES extends to participatory...

votes. Seq-Phragmén assign seats one-by-one, so it satisfies the committee monotonicity property: when more seats are added, the set of winners increases...

generally violates house monotonicity, as noted by Thiele himself. In fact, Thiele's optimization method satisfies house-monotonicity only for the (normalized)...

vote with respect to irrelevant candidates to manipulate the outcome. Monotonicity means that a voter never loses from revealing his true set of approved...

and Monotonicity". arXiv:1708.07580 [cs.GT]. Aziz, Haris; Lee, Barton E. (2020). "A characterization of proportionally representative committees". arXiv:2002...

for a binary outcome with the paired availability design and the key monotonicity assumption. Baker, Kramer, Lindeman (2016) summarized the history of...

The monotonicity criterion says that ranking a candidate higher on your ballot should not cause them to lose. The exact probability of a monotonicity failure...

more rapidly.: 231–232  A stronger variant of population monotonicity, called strong monotonicity requires that, if a state's entitlement (share of the population)...

run. Candidate-cloning causes vote-splitting in FPP. Y Monotonicity criterion The monotonicity criterion says a candidate should not lose as a result...

Абульвартъ Abul’vart. Official Greek: Ἀμπουλβὰρτ Ampoulvàrt, written in many monotonic versions ―for example: Αμπουλβάρ, Αμπουλβάρτ, Αμπουλμπάρτ, Απουλβάρτ,...

testing and toxicological models at low doses because of observed non-monotonicity, i.e. U-shaped dose/response curves. Dose–response relationships generally...

most voting system criteria, including Condorcet's majority criterion, monotonicity, participation, and clone-independence. However, it does satisfy the...

criteria, the ranked pairs method passes the majority criterion, the monotonicity criterion, the Smith criterion (which implies the Condorcet criterion)...

monotonic, IRV is not. D R Woodall, "Monotonicity and Single-Seat Election Rules", Voting matters, Issue 6, 1996. This article calls the monotonicity...

PAV fails the following properties: House monotonicity. Two alternative methods that satisfy house monotonicity and that have comparably good proportionality-related...