Circular Stand-Off

[DEMOREP1 at aol.com]

If the net wins are put in the  example in the May 27, 1999 posting, there is 
                              Net Wins
> > >    A:B=48:52    4B
> > >    A:C=53:47     6A  
> > >    A:D=43:57     14D
> > >    A:E=44:56     12E
> > >    B:C=45:55      10C
> > >    B:D=42:58      16D 
> > >    B:E=62:38      24B
> > >    C:D=54:46      8C
> > >    C:E=41:59       18E
> > >    D:E=40:60       20E

Putting the net wins and losses in a head to head matrix produces

          A         B        C        D        E         Total Net Wins
A        X       -4        6     -14*      -12      -24   Least
B        4         X      -10   -16*    24          2
C       -6      10      X         8      -18*        -6
D       14       16     -8        X       -20*        2
E       12      -24*    18     20         X          26   Most

Tot    24       -2        6      -2      -26          0

* = Worst Defeats in rows

I would suggest that choice E (and perhaps the voters) might be a little 
unhappy if choice A wins due to Condorcet[EM] (smallest votes loss in worst 
defeat).

I note again the sports analogy - 

     Wins    Losses    Net Wins   [Wins behind E]
A     38        62          -24             25
B      51       49              2             12
C      47       53             -6             16
D       51       49            2              12
E      63        37           26               --
     250       250            0

Thus, the question is what part, if any, of the above head to head matrix 
should be looked at ???