Head to Head Comparisons

The one pretty clear cut case is when one candidate beats all of the others. This case even has a special name; a candidate who beats all of the others is the Condorcet winner. (Named after the Marquis de Condorcet, who, like Borda, was an 18th  century Frenchman.)

As you might guess, a big problem with using Condorcet winners is that they often don't exist. Consider this very simple example with just three candidates A, B, and C.

 A
B C
B
C
A
C
A
B
Using this table of preferences, suppose the election is between just A and B.  Fill in the number of votes each candidate will get.
A gets 
  votes.
B gets 
  votes.