Search results
Results from the WOW.Com Content Network
In other words, a method is called unbiased if the number of seats a state receives is, on average across many elections, equal to its seat entitlement. [18] By this definition, the Webster method is the least-biased apportionment method, [19] while Huntington-Hill exhibits a mild bias towards smaller parties. [18]
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. The theorem itself is broken up into several different ...
An apportionment method is denoted by a multivalued function (,); a particular -solution is a single-valued function (,) which selects a single apportionment from (,). A partial apportionment method is an apportionment method for specific fixed values of n {\displaystyle n} and h {\displaystyle h} ; it is a multivalued function M ∗ ( t ...
A quota-capped divisor method is an apportionment method where we begin by assigning every state its lower quota of seats. Then, we add seats one-by-one to the state with the highest votes-per-seat average, so long as adding an additional seat does not result in the state exceeding its upper quota. [ 3 ]
The goal is to find an apportionment method is a vector of integers , …, with = =, called an apportionment of , where is the number of seats allocated to party i. An apportionment method is a multi-valued function M ( t , h ) {\displaystyle M(\mathbf {t} ,h)} , which takes as input a vector of entitlements and a house-size, and returns as ...
When using the Hare quota, this rule is called Hamilton's method, and is the third-most common apportionment rule worldwide (after Jefferson's method and Webster's method). [ 1 ] Despite their intuitive definition, quota methods are generally disfavored by social choice theorists as a result of apportionment paradoxes .
The apportionment method currently used is the method of equal proportions, which minimizes the percentage differences in the number of people per representative among the different states. [43] The resulting apportionment is optimal in the sense that any additional transfer of a seat from one state to another would result in larger percentage ...
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more