[EM] UncAAO defined in plain English
Forest W Simmons
fsimmons at pcc.edu
Sat Mar 3 17:56:03 PST 2007
For the benefit of those who are just joining us, I'll start a little
more basic than you would need.
We need to know the meaning of "cover." A candidate X covers a
candidate Y if and only if X (pairwise) defeats both Y and each
candidate that Y defeats.
So if X covers Y, then in a pairwise sense X dominates Y.
Now for UncAAO:
1. Write abbreviations for all of the candidate names on a big sheet of
2. For each candidate X, if X is covered by some candidate, then draw
an arrow from X to the candidate (among those that cover X)
against which X has the least approval opposition.
3. If X is not covered by any candidate, then do not draw any arrow
from X to another candidate.
4. Once all of the arrows have been drawn, start at the candidate A
with the most approval, and follow the arrows until you reach (the name
of) an uncovered candidate. This candidate is the winner.
Chris Benham wrote:
>Forest W Simmons wrote:
>>UncAAO stands for Uncovered, Approval, Approval Opposition. Here's how
>>For each candidate X,
>>if X is uncovered,
>>then let f(X)=X,
>>else let f(X) be the candidate against which X has the least approval
>>opposition, among those candidates that cover X.
>>Start with the approval winner A and apply the function f repeatedly
>>until the output equals the input. This "fixed point" of f is the
>Is there any chance that someone who understands this will translate it
>into plain English?
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