ER-Bucklin: Difference between revisions
imported>James Green-Armytage (→ER-Bucklin(fractional) tally: table 2) |
(Redirected page to Majority Choice Approval) Tag: New redirect |
||
(17 intermediate revisions by 5 users not shown) | |||
Line 1: | Line 1: | ||
#REDIRECT [[Majority Choice Approval]] |
|||
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 |
|||
{| border=1 |
|||
!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]] |
|||
[[Category:Single-winner voting systems]] |
Latest revision as of 03:05, 8 February 2024
Redirect to: