[EM] Ranked Ranks

[Ted Stern]

Hi Forest!

This is an interesting method.  It adds a Bucklin-like flavor to Approval
Sorted Margins (https://electowiki.org/wiki/Approval_Sorted_Margins), which
I like very much.

By sorting pairwise, what sort do you want to use?  Are you using the ASM
method of looking for the smallest margin and then continuing the next
smallest margin until finished?  If so, what is the margin between?  There
are several options.

I suspect that if you just use total votes at and above the round's rating
level, you will run into irrelevant ballot problems unless you use some
variant of IBIFA. Perhaps you could use the highest total approval for a
candidate on ballots not ranking X as their relevant opposition score.


On Wed, Jun 5, 2019 at 7:54 PM Forest Simmons <fsimmons at pcc.edu> wrote:

> I don't want to detract from the glory of Improved Copeland with another
> post, but here goes:
>
> A recent suggestion of Kevin was to start with all of the ranks in place,
> and then to flatten more and more ranks (in a certain order) until a ballot
> CW emerges.
>
> Here's a way to do it in the opposite order:
>
> "Annealing"
>
> Start with only the strongest rank symbols in place.
>
> This gives an approval order.
>
> Add in the next strongest rankings, to sort the approval list pairwise.
>
> Then add in more rankings, and sort again.
>
> etc.
> Until all of the rankings are used in the final sort.
>
> I call it "annealing" because it is like the process of compactifying the
> molecules in a piece of metal by repeated partial heatings and coolings.
>
> It could also be called the resistant starch method, because re-heating
> and cooling cooked rice or baked potatoes adds additional resistant starch
> (up to a point).
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