[EM] eliminations methods like IRV

[Bart Ingles]

Forest Simmons wrote:
> 
> 40 BUVWCXYZA
> 25 UVWCABXYZ
> 35 AUVWBXYZC
> 
> In this version (Blake's example with steroids) nobody can deny that some
> of the candidates are much better than others, for example U is strongly
> preferred over Z by all the voters.


Not necessarily; suppose ratings or utilities are considered:

     1.0              0.5               0.0
     --------------------------------------
40   B                             UVWCXYZA
25   UVWCABXY                             Z
35   A                             UVWBXYZC

We can safely infer from the rankings that U is strongly preferred over
A by the middle group, at least as strongly as that group prefers anyone
over anyone, only because U and A contain both the first and last
choice.  For the two larger groups it's not possible to make that
inference.

Bart