[EM] Re: IIA Theory

[DEMOREP1 at aol.com]

Mr. Schulze wrote in part-

Saari's geometric terminology makes sense only if you have
already agreed with him that the Borda method is best.

Borda and Saari implicitely presume that there is an even
distribution of the candidates. But if there is an even
distribution of the candidates then of course the Borda
method is best because then every pairwise comparison has
the same independent importance.
---
D- The reality is that some candidates are more or less clones of other 
candidates - such as 2 or more similar liberals or conservatives.

35 ABC
34 BCA
31 CAB

    A    B    C
A   --  66   35    101
B  34   --   69    103   [Borda winner]
C  65   31   --     96
                   300

D who is clone of C is added.

35 ABCD
34 BCDA
31 CDAB


    A    B    C   D
A   --  66   35  35   136
B  34   --   69  69   172   
C  65   31   -- 100   196  [Borda winner]
D  65   31    0  --    96
                      600

C becomes the Borda winner by having a clone of itself.
Obviously, Borda is totally defective (as pointed out by Condorcet some 215 
years ago).