Largest remainder method: Difference between revisions

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{{Wikipedia}}

The '''largest remainder method''' is one way of allocating seats proportionally for representative assemblies with [[Party-list proportional representation|party list]] [[voting system]]s. It is a contrast to the [[highest averages method]].
The '''largest remainder method''' is one way of allocating seats proportionally for representative assemblies with [[Party-list proportional representation|party list]] [[voting system]]s. It is a contrast to the [[highest averages method]].


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==Quotas==
==Quotas==


There are several possibilities for the quota. The most common are:
There are several possibilities for the quota. The most common are the [[Hare quota]] and the [[Droop quota]].
the [[Hare quota]] and the [[Droop quota]].


The Hare Quota is defined as follows
The Hare Quota is defined as follows
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The [[Imperiali quota]]
The [[Imperiali quota]]
:<math>\frac{\mbox{total} \; \mbox{votes}}{2+\mbox{total} \; \mbox{seats}}</math>
:<math>\frac{\mbox{total} \; \mbox{votes}}{2+\mbox{total} \; \mbox{seats}}</math>

is rarely used since it suffers from the problem that it may result in more candidates being elected than there are seats available; this will certainly happen if there are only two parties. In such a case, it is usual to increase the quota until the number of candidates elected is equal to the number of seats available, in effect changing the voting system to a highest averages system with the [[d'Hondt method|Jefferson apportionment formula]].
is rarely used since it suffers from the problem that it may result in more candidates being elected than there are seats available; this will certainly happen if there are only two parties. In such a case, it is usual to increase the quota until the number of candidates elected is equal to the number of seats available, in effect changing the voting system to a highest averages system with the [[d'Hondt method|Jefferson apportionment formula]].


==Technical evaluation and paradoxes==
==Technical evaluation and paradoxes==