[EM] Majority Rule
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Thu Jul 20 19:43:47 PDT 2000
For the benefit of new members the single winner case can be demystified by
noting ---
A. A choice does or does not get a YES majority.
B. A choice does or does not beat each choice head to head using number votes
(1, 2, etc. (if 2 or more YES majorities in A)
C. A choice gets the earliest majority of YES votes using the number votes
(as a tiebreaker, if there is no head to head winner in all cases in B).
J = MaJority, R = MinoRity
YES NO
A J R
B R J
C R J
D J R
etc.
Those choices getting YES majorities go head to head using rank order number
votes.
A B C D
A X J1 R2 J3
B R1 X J4 R5
C J2 R4 X R6
D R3 J5 J6 X
If no choice beats each other choice head to head, then ---
YES votes only
1 2 3
A A1 A2 A3
B B1 B2 B3
C C1 C2 C3
D D1 D2 D3
If there is no 1st choice majority, then sum the 1st and 2nd choices to try
to get a majority, etc.
The analogy for legislative bodies would use the Droop Quota.
Most criterion and methods mystify majority rule by adding/removing choices
and/or votes.
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