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Sainte-Laguë method
The Sainte-Laguë method of the highest average (also known as Webster's method or divisor method with standard rounding) is one way of allocating seats proportionally for representative assemblies with party list voting systems. It is named after French mathematician André Sainte-Laguë. The Sainte-Laguë method is closely related to d'Hondt method, although without the latter's favoritism for larger parties.
The Sainte-Laguë method is used in New Zealand, Norway, Sweden, Denmark, Bosnia and Herzegovina, Latvia, Kosovo, Hamburg and Bremen.
See the article on highest averages method for a comparison with the d'Hondt method.
| Contents |
Example
The Sainte-Laguë method is a divisor method, like the d'Hondt method, but uses the divisors 1, 3, 5, 7, 9, and so on. Each party is given a score at the beginning equal to the number of votes received. Then, the party list with the highest score is awarded a seat, and then the score is recalculated as the original score divided by a divisor. The divisor is one more than double the number of seats that the party has already received (as opposed to the d'Hondt method, which uses divisors one more than the number of seats.)
Party A |
Party B |
Party C |
Party D |
Party E |
|
Votes |
340,000 |
280,000 |
160,000 |
60,000 |
15,000 |
Seat 1 |
340,000 |
280,000 |
160,000 |
60,000 |
15,000 |
Seat 2 |
113,333 |
280,000 |
160,000 |
60,000 |
15,000 |
Seat 3 |
113,333 |
93,333 |
160,000 |
60,000 |
15,000 |
Seat 4 |
113,333 |
93,333 |
53,333 |
60,000 |
15,000 |
Seat 5 |
68,000 |
93,333 |
53,333 |
60,000 |
15,000 |
Seat 6 |
68,000 |
56,000 |
53,333 |
60,000 |
15,000 |
Seat 7 |
48,571 |
56,000 |
53,333 |
60,000 |
15,000 |
Total Seats |
3 |
2 |
1 |
1 |
0 |
Sainte-Laguë and Webster
The Sainte-Laguë method is equivalent to the Webster method in that they always give the same results, but the method of calculating the apportionment is different. The latter uses a quota, as in the Largest remainder method but the quotas are rounded off instead of down to the nearest integer, and the quota is adjusted as necessary to make the number of seats work out if there are too many seats.
Modified Sainte-Laguë method
Some countries, eg. Sweden and Denmark, replaces the first divisor with 1.4. This gives slightly larger preference to the larger parties.
See also
External links
- Java implementation of Webster's method
- Elections New Zealand explanation of Sainte-Laguë
- 2002 New Zealand election using Sainte-Laguë
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