Forest Simmons wrote:
Ballots are ordinal rankings or cardinal ratings.
Any candidate with more than average first place rankings or ratings gets a point. Any candidate with fewer than average last place (or truncated) rankings or ratings gets a point or an additional point.
The candidate with the most points wins.
In case of ties, all but the tied candidates are stricken from the ballots, and the method is repeated.
If the method gets stuck on a set, then the tie is broken by random ballot restricted to members of the tied set.
Call this method "The first and last place point system."
Consider the set of candidates {A, B, C} and ballots
3: A>B>C 2: B>C>A
If I understand your method correctly, the relevant math is:
First-place votes:
A: 3 (above average) B: 2 (above average) C: 0 (below average) Average: 5/3=1.666...
Last-place votes:
A: 2 (above average) B: 0 (below average) C: 3 (above average) Average: 5/3=1.666...
Points:
A: 1 B: 2 C: 0
So B is elected. But A has an absolute majority of first-choice votes! ---- Election-methods mailing list - see http://electorama.com/em for list info
