Two apples-Chocolate

[DEMOREP1 at aol.com]

The recent three Apples-Chocolate Condorcet example can be reduced to two
Apples-Chocolate.
Total of 101 voters
24 voters vote Apple1 (A1)
27 voters vote Apple2 (A2), Apple1
50 voters vote Chocolate (C)

A1>C 51-50 margin 1
C>A2  50-27 margin 23
A2>A1 27-24 margin 3
Circular Tie    A1>C>A2>A1

With the plain Condorcet tie breaker (based on which worst defeat has the
lowest margin) C wins.

The general case is if an overall majority (that can defeat any minority
candidate) is divided, then a minority candidate can win using the plain
Condorcet tie breaker.

The above is another example why there must be a majority disapproval vote
first before doing any Condorcet pairings.
If the A1 and A2 voters totally reject C, then C will be defeated 51-50.