[EM] Net Wins Tiebreaker
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Wed May 26 03:32:00 PDT 1999
One of my standard circular ties--
Assume that each choice is acceptable to a majority on a YES/NO vote.
22 ABCDE
21 BCDEA
20 CDEAB
19 DEABC
18 EABCD
100
NET
79 AB 21 58 A
59 AC 41 18 A
40 AD 60 20 D
22 AE 78 56 E
80 BC 20 60 B
61 BD 39 22 B
43 BE 57 14 E
81 CD 19 62 C
63 CE 37 26 C
82 DE 18 64 D
No head to head winner (i.e. each choice has at least one victory and one
defeat).
Table of NET wins (left column over top row)
A B C D E Total
A X 58 18 0 0 76
B 0 X 60 22 0 82
C 0 0 X 62 26 88 max
D 20 0 0 X 64 84
E 56 14 0 0 X 70
400
Note the C diagonal in the example.
Note that a second choice cannot hurt a first choice in a given vote since
the first choice defeats the second choice.
Thus- Majority YES, head to head (Condorcet) and Net Wins tiebreaker (a
variant of Borda).
Thus, were Borda and Condorcet both partially correct ???
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