Somehow this drifted away from being usable for someone with literacy
weakness.
On Jun 12, 2011, at 5:42 PM, [email protected] wrote:
Kristofer,
I think the following complete description is simpler than anything
possible for ranked pairs:
1. Next to each candidate name are the bubbles (4) (2) (1). The
voter rates a candidate on a scale from
zero to seven by darkening the bubbles of the digits that add up to
the desired rating.
You can vote for one or more:
1. Start by ranking the best by marking it with the highest
number.
2. If there are other candidates you like equally well, rank
them the same.
3. If there remain other candidates you wish to vote for, though
liking them a bit less, rank the best of them with a slightly smaller
number, and go back to step 2.
The ballots are read as if in a race between each pair of
candidates, with your ranking deciding which member of each pair wins
a point.
2. We say that candidate Y beats candidate Z pairwise iff Y is
rated above Z on more ballots than not.
3. We say that candidate Y covers candidate X iff Y pairwise beats
every candidate that X pairwise
beats or ties.
[Note that this definition implies that if Y covers X, then Y beats
X pairwise, since X ties X pairwise.]
Motivational comment: If a method winner X is covered, then the
supporters of the candidate Y that
covers X have a strong argument that Y should have won instead.
Now that we have the basic concepts that we need, and assuming that
the ballots have been marked
and collected, here's the method of picking the winner:
Counting better have less literacy problems. For starters, what does
"positive rating" mean?
I still like the X*X matrix. BTW, while some races may be in a single
precinct, the district for a race for senate or governor is a whole
state.
4. Initialize the variable X with (the name of) the candidate that
has a positive rating on the greatest
number of ballots. Consider X to be the current champion.
5. While X is covered, of all the candidates that cover X, choose
the one that has the greatest number of
positive ratings to become the new champion X.
6. Elect the final champion X.
7. If in step 4 or 5 two candidates are tied for the number of
positive ratings, give preference (among the
tied) to the one that has the greatest number of ratings above level
one. If still tied, give preference
(among the tied) to the one with the greatest number of ratings
above the level two. Etc.
Can anybody do a simpler description of any other Clone Independent
Condorcet method?
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