View source for ER-Bucklin


ER-Bucklin is a versions of [[Bucklin voting]] that allows voters to give equal rankings to some candidates.


== ER-Bucklin(whole) ==

''If a ballot lists n candidates as tied in kth place, count that ballot as a whole point for all n candidates in the kth round.''

Note: A candidate is ranked in kth place on a given ballot if there are k-1 candidates who are ranked strictly higher. For exampe, a ballot marked A>B=C=D>E>F=G=H=I>J should be considered to rank A to in 1st place, B, C, and D in 2nd place, E in 5th place, F, G, H, and I in 6th place, and J in 10th place. Thus, the ballot would not count in favor of E until the 5th round, and it would not count in favor of J until the 10th round.


== ER-Bucklin(fractional) ==

''If a ballot lists n candidates as tied in kth place, count that ballot as 1/n point for all n candidates in the kth round, adding another 1/n point in each subsequent round until the ballot has contributed 1 point to all n candidates.''


== Example ==

:36: A>B1=B2>C
:34: B1=B2>C>A
:30: C>A>B1=B2

=== ER-Bucklin(whole) tally ===

{| border=1
!candidate
!round 1
!round 2
|-
|A
|36
|66
|-
|B1
|34
|70
|-
|B2
|34
|70
|-
|C
|30
|30
|}


There is a tie between B1 and B2.

=== ER-Bucklin(fractional) tally ===

candidate  round 1  round 2 
A          36       +30 = 66
B1         17       +17+18 = 52
B2         17       +17+18 = 52
C          30

A wins.

''work in progress''

== See also ==
[[Bucklin voting]]

[[Category:Single-winner voting systems]]