Conditional YES votes

DEMOREP1 at aol.com DEMOREP1 at aol.com
Mon Mar 20 20:10:12 PST 2000


The below 5 choice example shows some of the problems with positional votes 
versus head to head votes (i.e. when there are clones).

All votes are YES votes. 2 to 5 ranks are Conditional YES votes.  All choices 
with NO majorities have been removed. YES vote choices have been shifted left 
on all ballots.

     123  45
22 ABC  DE
21 BCD  EA
20 CDE  AB
19 DEA  BC
18 EAB  CD

100

No majority in 1 plus 2 ranks

1 to 3 ranks

A  59
B  61
C  63 Max.
D  60
E  57
 300

All 5 choices have majorities.  If each voter had 3 simple Approval Votes, 
then C would win.  Of course, it may not be possible to know in advance that 
any particular choice would get the highest majority with N simple Approval 
Votes.

head to head

79 AB 21
59 AC 41
40 AD 60
22 AE 78
80 BC 20
61 BD 39
43 BE 57
81 CD 19
63 CE 37
82 DE 18 worst defeat (biggest clone- of D)

If E is removed-

79 AB 21
59 AC 41
40 AD 60
80 BC 20
61 BD 39
81 CD 19 next worst defeat (next biggest clone- of C)

If D is removed-

79 AB 21
59 AC 41
80 BC 20

A beats B and C.

Also, if votes are shifted left to replace E-
     12   34
22 AB  CD
21 BC  DA
20 CD  AB
19 DA  BC
18 AB  CD
100

1 plus 2 rank votes

A 59
B 61 Max.
C 41
D 39
  200

B wins by combining the rank votes.
A beats B using the head to head votes.

Do B and C have a complaint ?  Or-- which type of vote should have priority 
(if any)- the Conditional YES votes or the head to head votes (i.e. removing 
clones) ???



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