Population monotonicity (PM) is a principle of consistency in allocation problems. It says that, when the set of agents participating in the allocation...

stronger variant of population monotonicity, called strong monotonicity requires that, if a state's entitlement (share of the population) increases, then...

Static population-monotonicity: 147 , also called concordance: 75 , says that a party with more votes should not receive a smaller apportionment of seats...

divisor methods satisfy population monotonicity, i.e. voting for a party can never cause it to lose seats. Such population paradoxes occur by increasing...

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...

to 5 over the 2,000-year period), but not strictly monotonic: A noticeable dip in world population is assumed due to the Black Death in the mid-14th century...

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

divisor methods violate the participation criterion (also called population monotonicity)—it is possible for a party to lose a seat as a result of winning...

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

a j − 1 {\displaystyle a_{i}\geq a_{j}-1} . Concordance (=Weak population monotonicity) means that an agent with a strictly higher entitlement receives...

pay less than his individual cost because of the submodularity. population monotonicity: the payment of an agent weakly increases when the subset of served...

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

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

rich behavior, with bistability in some parameter range, as well as a monotonic decay to zero, smooth exponential growth, punctuated unlimited growth...

allocation is better for some users and not worse for anyone. Population monotonicity: when a user leaves the system, the allocations of remaining users...

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

better-off. Population monotonicity—a property of division rules, guaranteeing that if the same rule is applied to a smaller population and the same...

strata, others may instead assume monotonicity. All will assume the absence of defiers within the experimental population. Some of these assumptions may...

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

bundle that contains 1 / n {\displaystyle 1/n} of each resource. Population monotonicity: when an agent leaves the scene and the resources are re-divided...

ensure the monotonicity of the scale across the different risk factors. Because the goal is to estimate underlying risk across the population, individuals...

(February 18, 2022). "'Severance' review: Ben Stiller finds horror in 9-to-5 monotony in his unnerving Apple TV+ thriller". USA Today. Archived from the original...

x_{n}\end{cases}}} As this article's first figure shows, in the presence of monotonicity violations the resulting interpolated curve will have flat (constant)...

ISSN 0377-0427. Segal-Halevi, Erel; Sziklai, Balázs R. (2019-09-01). "Monotonicity and competitive equilibrium in cake-cutting". Economic Theory. 68 (2):...

S2CID 253847024. Retrieved 23 February 2024. "Monotonicity and instant-runoff voting – Why the Monotonicity Criterion is of Little Import". archive.fairvote...

standard deviation 15. This results in approximately two-thirds of the population scoring between IQ 85 and IQ 115 and about 2 percent each above 130 and...

value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as...

well the relationship between two variables can be described using a monotonic function. The Spearman correlation between two variables is equal to the...

resistance has been estimated at from one to three percent of the total population. The French Resistance played a significant role in facilitating the Allies'...

the growing Merseybeat movement. However, they were growing tired of the monotony of numerous appearances at the same clubs night after night. In November...