[EM] RE : Voting geometry, with interactive examples

Kevin Venzke stepjak at yahoo.fr
Sat Sep 9 13:27:42 PDT 2006


Hi,

--- mrouse1 at mrouse.com a écrit :
> I did have a question on it, though. In the representation triangle, if
> you took the center of mass for each of the smaller preference triangles
> (with the weight depending on how many voters picked that order) and
> found
> the point of balance for the entire triangle, what voting method would
> that be equivalent to?
> 
> For instance, taking the Milk-Soda-Juice example, you have
> 6 Milk>Soda>Juice (6 A>B>C)
> 5 Soda>Juice>Milk (5 B>C>A)
> 4 Juice>Soda>Milk (4 C>B>A)
> 
> If you put a mass of 6 at the centroid of the A>B>C triangle, a mass of 5
> in the B>C>A triangle, and a mass of 4 in the C>B>A triangle, which
> voting
> method would correspond to finding the center of mass for the complete
> A-B-C triangle?

Do you mean that after you found the center of mass for the complete
triangle, you would elect the candidate corresponding to the corner
that the center of mass is nearest to?

I imagine that is some kind of positional method, since the second
preferences as just weighted a bit less.

Kevin Venzke



	

	
		
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