Methods of elimination in quota preferential STV

DEMOREP1 at aol.com DEMOREP1 at aol.com
Sun Oct 8 20:20:35 PDT 2000


D- I have changed the AV example somewhat for clarity.  Apologies to Mr. 
Ingles for the name error.
---
As with Approval Voting with single winners, the A=B=C notion is false in 
most cases for multiple winners in legislative body elections (i.e. the 
voters actually want B>A>C, C>A>B, Z>Y>X, etc.).

However, AV is simple (but probably requiring computerized elections due to 
the below possible fractions).

A possible minor problem with the end result-

3 member legislative body

Final Results for 3 Winners

N1-N7 = Numbers of Voters

A            B            C

N1/3     N1/3     N1/3   (1/3 vote for 3)
N2/2     N2/2                (1/2 vote for 2)
             N3/2     N3/2   (1/2 vote for 2)
N4/2                  N4/2   (1/2 vote for 2)
N5                                 (1 vote for 1)
              N6                   (1 vote for 1)
                           N7      (1 vote for 1)
_______________________________
TA         TB         TC      Totals

Any total equal to or more than a Droop Quota produces a winner.

Would each winner have a voting power in the legislative body equal to the 
votes that he/she receives ???

The above minor complexity is why I suggest simple IRV (with full 1 vote 
transfers) for proxy p.r. elections-

(a) An Elector may vote for legislative body candidates on the ballots (plus 
1 write-in vote) by voting “1”, “2” and so forth for his/her first, second 
and so forth choices.
(b) N shall be the number of members being elected in a district or at large.
(c) If there are N or less candidates, then they shall be elected. 
(d) If there are more than N candidates (or remaining candidates), then the 
candidate having the lowest number of votes shall lose.
(e) Each vote for a losing candidate shall transfer to the Elector's next 
choice who is a remaining candidate (if any).
(f) The 2 prior steps shall be repeated until N candidates remain who shall 
be elected.
(g) A lottery shall be held if tie votes occur in any step.
(h) Each member (or his/her vacancy replacement) shall have a voting power in 
the legislative body and its committees, in person or by written proxy, equal 
to the number of first choice plus transfer votes that he/she finally 
receives.
(i) Example- 5 to be elected
                         VP
C1  21      = 21 +  1  = 22
C2  20      = 20 +  5  = 25
C3  15      = 15 +  3  = 18
C4  12 + 5  = 17       = 17
C5  12 + 1  = 13 - 13  =  0
C6  11 + 3  = 14 +  2  = 16
C7   9 - 9  =  0       =  0
VNT  0      =  0 +  2  =  2
---------------------------
T  100       100        100
   C7 Loses    C5 Loses
C = Candidate, VNT= Votes not transferred, T = Total, VP = Voting Power

The lack of p.r. in U.S.A. legislative bodies (i.e. indirect Democracy) (with 
the exception of Cambridge, Mass.) is a major reason why there has been the 
very dangerous monarchial buildup of chief executive officers in the U.S.A. 
(Presidents, State governors, mayors, etc.) since 1960 (i.e. the Kennedy- 
Nixon TV debates).



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