Circular Tie solution
    DEMOREP1 at aol.com 
    DEMOREP1 at aol.com
       
    Fri Nov  8 21:58:29 PST 1996
    
    
  
Donald wrote:
Donald: When we add together the results of these three pairings we get the
following:
                            67 H      33 G
                            35 H                65 S
                                      68 G      32 S
                           -----     -----     -----
                           102 H     101 G      97 S
Again we have a winner - no circular tie. Now of course - in another
example it may be possible to have a tie between the top two - a tie that
can be solved by using Instant-Run-off - HA HA!
----
Demorep1--
Such 102-101-97 result comes from the matrix (Top Letter over Left letter)
         G      H       S
G     --      33     68      101
H     67     --      35      102
S    32      65      --        97
      99     98      103     300
Such 102-101-97 result is thus the votes against each candidate. The votes
for each candidate are 99-98-103.
I note that there are 100 voters x 3 pairings = 300 votes in all pairings.
    
    
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