I tried
4:A>C>B
10:A>B>C
6:B>A>C
8:B>C>A
6:C>B>A
9:C>A>B

which translates to 
24:B>C 23:C>A 23:A>B

My PERL script computes this as a win for B.  You compute it as tie for A & B.