A proxy proportional representation method avoids any quotas and greatly
reduces the ability to gerrymander.
A voter votes 1, 2, etc. for his/her choices.
The candidate with the lowest number of votes loses and has the votes for
him/her transferred to the voter's next choice (if any).
The process is repeated until only N (at least 2) candidates remain (who are
elected).
Each elected legislator has a voting power in the legislative body equal to
the number of votes he/she finally receives.
Example-
C = Candidates Voting Power
C1 22 = 22 = 23
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
100 100 100
C7 Loses C5 Loses
VNT= Votes not transferred
Thus, no quota math to worry about. However, the Droop quota comes into play
by giving an estimate about the size of the lowest minority in a district
that may get a seat.
In the example with N = 5, the Droop quota is (100/(5 +1)) + 1 or 17.7. I
prefer N to be 5 to permit such 17.7 percent minorities in any district to be
able to elect a legislator. Most voters would have their votes count
indirectly in the legislative body (pending a direct democracy system in
which each voter is directly a legislator).
