D'Hondt method: Difference between revisions
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== Notes ==
Parties can generally guarantee themselves at least as many seats as they would get in D'Hondt in any PR method by doing [[Vote management|vote management]].
The reason D'Hondt guarantees every party at least as many seats as they have more voters than that number of HB quotas is because there is always 1 HB quota more than the number of seats, so when a party has more voters than k HB quotas, it can divide its votes to do more than a quota per seat for k seats, whereas all other parties combined can at most do just under (((total number of seats + 1)-k)/(number of seats - (k - 1))) i.e. the most votes the other parties can have divided by the number of seats they're trying to take. For example, if there are 10 seats to be filled, and one party has over 3 HB quotas, then they can take at least 3 seats because they can do over 1 quota per seat for 3,and for all other parties to take at least (10-(3-1))=8 seats (the minimum required for them to deny the other party 3 seats, since you can't get 3 seats if 8 out of 10 seats are already allotted), the other parties can do at most just under ((10+1)-3)/8)=1 quota per seat for 8 seats.
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[[Category:Party list theory]]
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