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Calculate the ratio of surplus to the number of reassigned ballots or 1 if the number of such ballots is less than surplus. For each candidate, multiply ratio * the number of that candidate's reassigned votes and add the result (rounded down) to the candidate's tally. Repeat 3–5 until winners fill all seats, or all ballots are exhausted.
In order to make the total number of legislators come out equal to the target number, the divisor is adjusted to make the sum of allocated seats after being rounded give the required total. One way to determine the correct value of the divisor would be to start with a very large divisor, so that no seats are allocated after rounding.
The Huntington–Hill method, sometimes called method of equal proportions, is a highest averages method for assigning seats in a legislature to political parties or states. [1] Since 1941, this method has been used to apportion the 435 seats in the United States House of Representatives following the completion of each decennial census .
In the case both seats and votes are represented as fractions or percentages, then every voter has equal representation if the seats-to-votes ratio is 1. The principle of equal representation is expressed in slogan one man, one vote and relates to proportional representation. The seats-to-votes ratio is used as the basis for the Gallagher index ...
In this example, 230,000 voters decide the disposition of 8 seats among 4 parties. Since 8 seats are to be allocated, each party's total votes are divided by 1, then by 2, 3, and 4 (and then, if necessary, by 5, 6, 7, and so on). The 8 highest entries (in bold text) range from 100,000 down to 25,000. For each, the corresponding party gets a seat.
An alternative formula was proposed by Grigorii Golosov in 2010. [9]= = + which is equivalent – if we only consider parties with at least one vote/seat – to = = + (/) Here, n is the number of parties, the square of each party's proportion of all votes or seats, and is the square of the largest party's proportion of all votes or seats.
The output is a vector of integers , …, with = =, called an apportionment of , where is the number of items allocated to agent i.. For each party , the real number := is called the entitlement or seat quota for , and denotes the exact number of items that should be given to .
Figure 1. A 32-segment quadric fractal viewed through "boxes" of different sizes. The pattern illustrates self similarity.. Box counting is a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc. into smaller and smaller pieces, typically "box"-shaped, and analyzing the pieces at each smaller scale.
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