Formula
The Hagenbach-Bischoff quota is given by the formula:
- Votes = Total valid poll; that is, the total number of valid (unspoilt) votes cast in an election.
- Seats = Total number of seats to be filled in the election.
The Droop quota's formula is slightly different in that the quotient arrived at by dividing the total vote by the number of seats plus 1 is rounded up if it is fractional, or if it is a whole number, 1 is added, so that in either case the quotient is increased to the next whole number.
As noted above, while under the Droop quota it is impossible for more candidates in an election to reach the quota than there are seats to be filled, this can theoretically occur under the Hagenbach-Bischoff quota. If this happens it is treated as a kind of tie and a candidate is chosen at random for exclusion.
Read more about this topic: Hagenbach-Bischoff Quota
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