previously elected, are still elected. House monotonicity is the special case of resource monotonicity for the setting in which the resource consists...

methods are also vulnerable to spoiler effects and can fail resource or house monotonicity, which says that increasing the number of seats in a legislature should...

then {y,z} is elected, which violates house-monotonicity. Therefore, f(2)=2 must hold for house-monotonicity to hold. Using similar arguments, we can...

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

increased every ten years. House-monotonicity is weaker than pairwise-PM. All rank-index methods (hence all divisor methods) are house-monotone - this clearly...

Segal-Halevi, Erel; Sziklai, Balázs R. (2018-09-01). "Resource-monotonicity and population-monotonicity in connected cake-cutting". Mathematical Social Sciences...

Resource monotonicity (RM; aka aggregate monotonicity) is a principle of fair division. It says that, if there are more resources to share, then all agents...

Alabama paradox gave rise to the axiom known as house monotonicity, which says that, when the house size increases, the allocations of all states should...

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

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