[EM] Reversal Symmetry Criterion & Borda-Elimination

[Rob LeGrand]

Steve Barney wrote:
> According to _Chaotic Elections_, the recent voting theory book by UC-Irvine
> professor Donald Saari, all methods based on pairwise rankings and tallies
> satisfy this condition. Saari ought to know, as he is probably the original
> source of this criterion. I asked Dr. Saari about this, and he said "...they
> are wrong in the comment about Borda elimination. If all individual rankings
> are reversed, then the Borda ranking is reversed. (This is in Chaotic
> elections.)   Thus, if X was top-ranked before, X is bottom ranked now. As
> such, X is the first candidate to be eliminated."

Try Borda-elimination on

4:A>C>B
4:B>A>C
1:C>B>A

and

4:B>C>A
4:C>A>B
1:A>B>C

B is the winner both times.  Sorry, Saari.

=====
Rob LeGrand
honky98 at aggies.org
http://www.aggies.org/honky98/

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