Markus's '98 Cloneproof SSD wording
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Sat Mar 17 17:56:10 PST 2001
Mr. Schulze wrote in part-
Blake Cretney demonstrated in his 3 Nov 1998 mail that
monotonicity is violated when one simply re-applies this algorithm
(http://groups.yahoo.com/group/election-methods-list/message/1955).
Example 1:
3 voters vote A > B > C > D.
2 voters vote D > A > B > C.
2 voters vote D > B > C > A.
2 voters vote C > B > D > A.
The pairwise matrix looks as follows:
A:B=5:4
A:C=5:4
A:D=3:6
B:C=7:2
B:D=5:4
C:D=5:4
B and D are SSD winners. When SSD is re-applied among candidate B
and candidate D, then candidate B wins decisively.
Example 2:
One voter changes from D > A > B > C to A > D > B > C
3 voters vote A > B > C > D.
1 voter votes D > A > B > C.
1 voter votes A > D > B > C.
2 voters vote D > B > C > A.
2 voters vote C > B > D > A.
The pairwise matrix looks as follows:
A:B=5:4
A:C=5:4
A:D=4:5
B:C=7:2
B:D=5:4
C:D=5:4
A, B, and D are SSD winners. When SSD is re-applied among candidate
A, B, and D then no further reduction of the winner-set can be
achieved. Therefore, Random Ballot is used so that candidate D
wins with a probability of 1/3. This can be interpreted as
a violation of monotonicity.
---------
D- I note again that changing votes is a very major election felony.
I note that if there are 1 or a few *changed* ballots (with the other ballots
staying the same), then there can be *changed* results.
Hardly a surprise --- since changing starting conditions routinely can change
the results -- commonly called the *scientific method*.
Basic point-- the election method being used operates on the votes cast (not
a zillion repeat elections having the same choices and the same voters).
When there is only a 1 vote difference in head to head results, then there
should be no surprise if 1 voter changes his/her ballot ---- as if such voter
(only) suddenly detected the results of all the other *secret* ballots
(through criminal knowledge) and then changes his/her ballot to maximize
*his/her* power in affecting the results -- depending on the method being
used.
In other words, a whole lot of the criteria floating around are quite
criminal --- (ballots changed- changed results, ballots removed- changed
results, ballots added- changed results).
Also, in the above 2 examples ---
Which of the choices get a majority of YES votes ???
Which group of voters is the *true* majority (or *true* minority) ???
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