Reverse Bucklin tiebreaker
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Fri Jun 12 22:33:06 PDT 1998
Upon further thought of Bucklin and majority and minority groups--
Attention Mike O.-- note the majority against and lesser of evils !!!!
Reverse Bucklin is another tiebreaker if there is no Condorcet winner.
If a choice has a majority against it (in the last choice or last 2 choices
(if necessary) or last 3 choices (if necessary), etc.), then it loses.
This comes about due to the possibility of having a divided majority and/ or a
divided minority.
Example--
A, B, C= divided majority; D,E = divided minority
100 voters
17 A > B > C > (D or E)
17 B > C > A > (D or E)
17 C > A > B > (D or E)
25 D > E > (A or B or C)
24 E > D > (A or B or C)
Assume no candidate has a majority against in the last choice (5th place).
D and E would both have a majority against in the last 2 choices (4th and 5th
places) and thus lose. The votes for A, B or C on the 49 D and E first
choice ballots would then move up. Presumably the D and E voters would pick
the lesser of the majority evils (in their minds) as an original 3rd choice
which then becomes a 1st choice.
Reverse Bucklin applied to some earlier examples---
35 voters vote B > A > C > D.
30 voters vote C > D > B > A.
20 voters vote A > C > D > B.
15 voters vote D > B > A > C.
100
no majority against in last choice, last 2 choices
A 45
B 50
C 50
D 55 D loses.
200
35 voters vote B > A > C.
30 voters vote C > B > A.
20 voters vote A > C > B.
15 voters vote B > A > C.
last choice
A 30
B 20
C 50
100
last 2 choices
A 80 loses
B 50 no majority winner ??
C 70 loses
200
--
35 voters vote B > A > C > D.
30 voters vote C > D > B > A.
20 voters vote A > C > D > B.
15 voters vote D > B > A > C.
6 voters vote D > B > C > A.
106
last choice
A 36
B 20
C 15
D 35
106
last 2 choices
A 45
B 50
C 56 loses
D 55 loses
216
35 voters vote B > A
30 voters vote B > A.
20 voters vote A > B.
15 voters vote B > A
6 voters vote B > A.
last choice
A 86 loses.
B 20 wins.
106
---
37 voters vote C > A > B > D.
20 voters vote B > D > A > C.
18 voters vote A > D > C > B.
15 voters vote B > D > C > A.
07 voters vote D > A > C > B.
03 voters vote C > B > A > D.
100
last 2 choices
A 38
B 62 loses
C 60 loses
D 40
200
37 voters vote A > D.
20 voters vote D > A
18 voters vote A > D
15 voters vote D > A.
07 voters vote D > A
03 voters vote A > D.
100
last choice
A 42 wins
D 58 loses
100
-----
37 voters vote C > A > B > D.
20 voters vote B > D > A > C.
18 voters vote A > D > C > B.
21 voters vote B > D > C > A.
07 voters vote D > A > C > B.
03 voters vote C > B > A > D.
106
last 2 choices
A 44
B 62 loses
C 66 loses
D 40
212
37 voters vote A > D
20 voters vote D > A
18 voters vote A > D
21 voters vote D > A
07 voters vote D > A
03 voters vote A > D
106
last choice
A 48 wins
D 58 loses
106
Bottom line-
YES/NO vote on each choice
Majority YES choices go head to head
Reverse Bucklin as tiebreaker.
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