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Huntington-Hill method


The Huntington–Hill method of apportionment assigns seats by finding a modified divisor D such that each constituency's priority quotient (population divided by D ), using the geometric mean of the lower and upper quota for the divisor, yields the correct number of seats that minimizes the percentage differences in the size of the congressional districts. When envisioned as a proportional electoral system, this is effectively a highest averages method of party-list proportional representation in which the divisors are given by , n being the number of seats a state or party is currently allocated in the apportionment process (the lower quota) and n+1 is the number of seats the state or party would have if it is assigned to this party list (the upper quota).

Although no legislature uses this method of apportionment to assign seats to parties after an election, the United States House of Representatives uses it to assign the number of representative seats to each state, for which it was devised.

The method is credited to Edward Vermilye Huntington and Joseph Adna Hill.

In a legislative election under the Huntington-Hill method, after the votes have been tallied, the qualification value would be calculated. This step is necessary because in an election, unlike in a legislative apportionment, not all parties are always guaranteed at least one seat. If the legislature concerned has no exclusion threshold, the qualification value would be the Hare Quota, or


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