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In general, a "fair" apportionment is one in which each allocation is as close as possible to the quota . An apportionment method may return a set of apportionment vectors (in other words: it is a multivalued function). This is required, since in some cases there is no fair way to distinguish between two possible solutions.
The Balinski–Young theorem proved in 1980 that if an apportionment method satisfies the quota rule, it must fail to satisfy some apportionment paradox. [3] For instance, although largest remainder method satisfies the quota rule, it violates the Alabama paradox and the population paradox .
Allocation of seats by state, as percentage of overall number of representatives in the House, 1789–2020 census. United States congressional apportionment is the process [1] by which seats in the United States House of Representatives are distributed among the 50 states according to the most recent decennial census mandated by the United States Constitution.
The apportionment created by this statute is "apportionment in respect of time." The cases to which it applies are mainly cases of either: apportionment of rent due under leases where at a time between the dates fixed for payment the lessor or lessee dies, or some other alteration in the position of parties occurs; or
Apportionment is the process by which seats in a legislative body are distributed among administrative divisions, such as states or parties, entitled to representation. This page presents the general principles and issues related to apportionment.
Apportionment is the process by which seats in a congressional body are allocated amongst constituencies entitled to representation such that each district receives seats in proportion to its population. [2]
In Brazil's largest remainder system the Hare quota is used to set the basic number of seats allocated to each party or coalition. Any remaining seats are allocated according to the D'Hondt method. [6] This procedure is used for the Federal Chamber of Deputies, State Assemblies, Municipal and Federal District Chambers.
The Knesset (Israel's unicameral legislature), are elected by party-list representation with apportionment by the D'Hondt method. [ a ] Had the Huntington–Hill method, rather than the D'Hondt method, been used to apportion seats following the elections to the 20th Knesset , held in 2015, the 120 seats in the 20th Knesset would have been ...