Rob Lanphier wrote-
That doesn't matter, does it? Very simple example: 4 candidates (A, B,
C, and D), 3 voters. Here's the ballots:
Points for A Points for B Points for C Points for D
A>B>C>D 4 3 2 1
A>B>C>D 4 3 2 1
B>C>D>A 1 4 3 2
Totals: 9 10 7 4
B wins under Borda, even though B would lose in FPTP, IRV, Condorcet, and
most other methods.
----
D- Simple Borda fails because on EACH ballot (i.e. the vote of one voter) for
ANY two paired choices there is a only ONE vote
1 A > [0] B
1 B > [0] C
1 C > [0] D
1 D > [0] A
etc.
(and NOT X points based on relative position (pos) of the choices being
paired - such as A (pos 4)> D (pos 1) (3 pos Difference) in A>B>C>D).
I find it difficult to believe that the preceding has not been brought up
numerous times since Borda used the method in the 1770's (a mere 220 plus
years ago).
