[Election-Methods] Challenge: Elect the compromise when there're only 2 factions

[Juho]

Here's my first attempt. Let's use modified Borda. The points can be  
"balanced" e.g. by using square root.

X>Y>Z => (2, 1, 0) => (1.4, 1, 0)
X>Y=Z => (2, 1, 1) => (1.4, 1, 1)

55 A>C>B
45 B>C>A
A = 55 * 1.4 + 45 * 0.0 =  77.8
B = 55 * 0.0 + 45 * 1.4	=  63.6
C = 55 * 1.0 + 45 * 1.0 = 100.0

Juho

P.S. You didn't tell what the method should do with  55: A 100, C 20,  
B 0,  45: B 100, C 20, A 0  :-)


On Aug 22, 2007, at 9:55 , Jobst Heitzig wrote:

> A common situation: 2 factions & 1 good compromise.
>
> The goal: Make sure the compromise wins.
>
> The problem: One of the 2 factions has a majority.
>
> A concrete example: true ratings are
>    55 voters: A 100, C 80, B 0
>    45 voters: B 100, C 80, A 0
>
> THE CHALLENGE: FIND A METHOD THAT WILL ELECT THE COMPROMISE (C)!
>
> The fine-print: voters are selfish and will vote strategically...
>
> Good luck & have fun :-)
>
> Jobst
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