2 articles
House monotonicity
House monotonicity is the apportionment requirement that no state lose seats when the house size grows; violating it causes the Alabama paradox. Hamilton's method fails it; divisor methods satisfy it but violate quota.
Quota rule
Quota rule: apportionment fairness criterion requiring each state or party to receive seats between its lower and upper quota. Hamilton's method satisfies it; Jefferson, Adams, Webster, and Huntington-Hill can violate it; Balinski-Young theorem limits combinations.