[EM] Droop fails the Markus Schulze Rule

[Bart Ingles]

Craig Carey wrote:

> Example: Some method will find six winners:
> 
> Case 1: paper=(ABCDEFGH), winner={C,D,E,F,G,H}, Satisfaction=63/256
> Case 2: paper=(ABCDEFGH), winner={B,I,J,K,L,M}, Satisfaction=1/4
> 
> So the 2nd alternative is the alternative that the satisfaction value of
>  the paper would prefer.

I see that if you assume that the utility of each successive ranked
choice declines by a factor of two, then the utility of a given choice
will always be greater then the sum of utilities of all lower choices.

What I was questioning was the use of base-2 satisfaction itself.  Is
someone actually using this as an approximation of reality, or is it
just a basis for a certain class of examples?

--Bart