Votes Against Tiebreaker

Mike Ositoff ntk at netcom.com
Sat Oct 17 02:42:05 PDT 1998


> 
> In the following example of a circular tie:
> 
> 40  AB
>  9  BA
> 12  BC
> 39  C
> 
> A > B:  40 - 9 - 12       =  40 - 21  =  19
> A > C:  40 + 9 - 12 - 39  =  49 - 51  =  -2
> B > C:  40 + 9 + 12 - 39  =  61 - 39  =  22
> 
> Which "votes against" do you use?  'C' has the greatest vote against in


You're subtracting votes for from votes against; that's Margins,
not VA. Here's the votes-against:

A>B 40
B>C 61
C>A 51

B wins by any of the VA methods, such as plain Condorcet(EM),
Smith//Condorcet(EM), Schulze, or SD.


> a pairing, but dropping him would leave A as the winner.  I had expected
> B, but maybe I'm looking at the wrong figures.



> 
> To me it looks like B should be the rightful winner, since he not only
> the greatest margin of victory, but the largest absolute majority.

B is what I get for this example.


> 
> Bart
> 
> 



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