[EM] Net Wins Tiebreaker, Supp. 7

DEMOREP1 at aol.com DEMOREP1 at aol.com
Sat Jun 12 13:56:19 PDT 1999

One way to get an estimate of what is going on with multiple choices
(especially with the amount of cloning) is to combine the highest net wins
choice(s) with the lowest net wins choice(s) repeatedly (canceling out the
internal wins and losses by making the combination).

Example-
Net Wins
A   125
B    -40
C    20
D    25
E   -120
F    15
G   -25
0

Combine A and E

AE   5
B    -40
C    20
D    25
F    15
G   -25
0

Combine B and D

AE      5
BD    -15
C      20
F      15
G     -25
0

Combine C and G

AE     5
BD  -15
CG     -5
F     15
0

Combine BD and F

AE    5
BDF  0
CG  -5

Thus, there are 3 choices giving an estimate of the amount of cloning.  The
above should be used to test computer results if there are a large number of
choices (in connection with truncated votes).

Note in a more "normal" case of a real large election, I would expect the
final math to much more skewed such as

Group 1       12
Group 2         2
Group 3      -14

Example- a simple 3 choice circular tie

35 ABC
34 BCA
31 CAB

Gross            Net
66 AB 34     32 AB -32
69 BC  31    38 BC  -38
65 CA 35     30 CA  -30

A      B      C
A      --    32   -30      2
B     -32   --     38       6
C     30    -38    --     -8
0