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

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

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

A wins.

work in progress

See also

Bucklin voting