[EM] Weighted PR question

[Juho Laatu]

On 14 Nov 2014, at 00:26, Forest Simmons <fsimmons at pcc.edu> wrote:

> Consider the following approval ballot set:
> 
> 40 AB
> 30 AC
> 20 C
> 10 BC
> 
> Of the following weighted representations, which would be better?
> 
> (I)  A(70), C(20), B(10)
> 
> (II) A(70), C(30)
> 
> (III) B(50), C(50)
> 
> or some other?

How about
A 35 = 40 * 1/2 + 30 * 1/2
B 25 = 40 * 1/2 + 10 * 1/2
C 40 = 30 * 1/2 + 20 + 10 * 1/2

> 
> How about if the weights stood for probabilities in a single winner lottery.  Which would be best?

Same 35/25/40 approach could do also here. Or maybe 100% to A (the most approved candidate). Or maybe 70/50/60 (based on the number of approvals). I guess different single winner lotteries could have different targets.

Juho


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