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The threshold used is the Droop quota; in a single-seat constituency, the quota is an absolute majority, i.e., more than half of the valid vote; in a 2-seat constituency, it is the smallest number more than a third; in a 3-seat, it's the smallest number more than one fourth; and in a 4-seat constituency, it is the smallest number greater than ...
The choice of quota affects the properties of the corresponding largest remainder method, and particularly the seat bias. Smaller quotas allow small parties to pick up seats, while larger quotas leave behind more votes. A somewhat counterintuitive result of this is that a larger quota will always be more favorable to smaller parties. [6]
Therefore, the quota rule states that the only two allocations allowed for party A are 1 or 2 seats on the council. If there is a second party, B , that has 137 members, then the quota rule states that party B gets 137 300 ⋅ 5 ≈ 2.3 {\displaystyle {\frac {137}{300}}\cdot 5\approx 2.3} , rounded up and down equals either 2 or 3 seats.
The Quota System (also known as The Quod), introduced by Prime Minister William Pitt the Younger in 1795, required each British county to provide a quota of men for the Royal Navy, based on its population and the number of its seaports: London, for example, had to provide 5,704 quotamen while Yorkshire had to provide 1,081.
For example, the Quota method of Balinsky and Young satisfies house-monotonicity and upper-quota by construction, and it can be proved that it also satisfies lower-quota. [11] It can be generalized: there is a general algorithm that yields all apportionment methods which are both house-monotone and satisfy both quotas.
In situations where parties' total share of the vote varies randomly, the Hare quota is the unique unbiased quota for an electoral system based on vote-transfers or quotas. [7] However, if the quota is used in small constituencies with no electoral threshold , it is possible to manipulate the system by running several candidates on separate ...
There are two commonly-used quotas: the Hare and Droop quotas.The Hare quota is unbiased in the number of seats it hands out, and so is more proportional than the Droop quota (which tends to be biased towards larger parties); [2] [3] however, the Droop quota guarantees that a party that wins a majority of votes in a district will win a majority of the seats in the district.
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