YES matrix
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Sat Aug 15 12:00:10 PDT 1998
A manufactured tie example--
22 A > B > C > D > E
21 B > C > D > E > A
20 C > D > E > A > B
19 D > E > A > B > C
18 E > A > B > C > D
79 A/B 21
59 A/C 41
40 A/D 60
22 A/E 78
80 B/C 20
61 B/D 39
43 B/E 57
81 C/D 19
63 C/E 37
82 D/E 18
A>B>C>D>E>A
Assuming that the the first 4 choices on each ballot are YES, the sum of the
YES votes would be
4 3 2
A 79 59 40
B 80 61 43
C 81 63 41
D 82 60 39
E 78 57 37
One subtiebreaker would be have the lowest majority lose when all choices get
majorities or minorities. Namely, E loses with 57.
Rechecking the head to head math--
79 A/B 21
59 A/C 41
40 A/D 60
80 B/C 20
61 B/D 39
81 C/D 19
A>B>C>D>A
Rechecking the YES matrix--
4 3 2
A 79 59 40
B 80 61 43
C 81 63 41
D 82 60 39
A loses with 59.
Rechecking the head to head math--
80 B/C 20
61 B/D 39
81 C/D 19
B>C>D
B wins. Note B's combination of 1st, 2nd and 3rd place votes in the top
matrix.
In a real election the matrix would likely be much more mixed- a possible 120
(5x4x3x2) lines for 5 choices- and obviously not all choices would be getting
YES votes in the first 4 places. In other words, I estimate that there would
be very few circular ties.
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