Sainte-Laguë method: Difference between revisions

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== Notes ==
== Notes ==
Webster, unlike D'Hondt, doesn't guarantee that a majority of voters will get at least half of the seats.<ref>{{Cite web|url=https://userpages.umbc.edu/~nmiller/RESEARCH/NRMILLER.PCS2013.pdf|title=ELECTION INVERSIONS
Webster, unlike D'Hondt, doesn't guarantee that a majority of voters will get at least half of the seats.<ref name="Miller pp. 4–25">{{cite journal | last=Miller | first=Nicholas R. | title=Election Inversions under Proportional Representation | journal=Scandinavian Political Studies | publisher=Wiley | volume=38 | issue=1 | date=2014-12-05 | issn=0080-6757 | doi=10.1111/1467-9477.12038 | pages=4–25|url=https://userpages.umbc.edu/~nmiller/RESEARCH/NRMILLER.PCS2013.pdf|access-date=2020-03-24}}</ref>
UNDER PROPORTIONAL REPRESENTATION|last=|first=|date=|website=|page=16|url-status=live|archive-url=|archive-date=|access-date=}}</ref>
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If D'Hondt had been used, the final divisor would've been 27.944, with (results calculated by rounding down to the nearest number) Party A getting 18 seats out of 35, a 51.42% majority (503/27.944), B 10 seats (304/27.944), and C 6 seats.
If D'Hondt had been used, the final divisor would've been 27.944, with (results calculated by rounding down to the nearest number) Party A getting 18 seats out of 35, a 51.42% majority (503/27.944), B 10 seats (304/27.944), and C 6 seats.

== References ==
<references />

[[Category:Party list theory]]
[[Category:Party list theory]]

Revision as of 12:31, 24 March 2020

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Webster/Sainte-Laguë works like D'Hondt method, except that you use divisors 1, 3, 5, 7, ... instead of 1, 2, 3, 4, ...

In the modified Sainte-Laguë method, the first divisor is modified to 1.4. The sequence of divisors is then 1.4, 3, 5, 7, ...

The modified Sainte-Laguë method is used for elections to the Danish parliament.

There is a longer article on Wikipedia on the same subject.

Notes

Webster, unlike D'Hondt, doesn't guarantee that a majority of voters will get at least half of the seats.[1]

35-seat example
Party Votes Votes % 2nd-to-last round seats 2nd-to-last round divisors Final seats Final divisors Seats %
A 503 50.3% 16 15.2424 (503/33) 17 14.3714 (503/35) 48.57%
B 304 30.4% 10 14.4762 (304/21) 11 13.2174 (304/23) 31.43%
C 193 19.3% 6 14.8461 (193/15) 7 12.8666 (193/15) 20%
Total seats awarded 32 35

If D'Hondt had been used, the final divisor would've been 27.944, with (results calculated by rounding down to the nearest number) Party A getting 18 seats out of 35, a 51.42% majority (503/27.944), B 10 seats (304/27.944), and C 6 seats.

References

  1. Miller, Nicholas R. (2014-12-05). "Election Inversions under Proportional Representation" (PDF). Scandinavian Political Studies. Wiley. 38 (1): 4–25. doi:10.1111/1467-9477.12038. ISSN 0080-6757. Retrieved 2020-03-24.