Yet another way to look at single winner elections is to look at OR combinations. Example-- 3 choices A or B C B or C A C or A B If none of the single choices gets a majority, then one of the 2 choice groups will get the highest majority (assuming no truncated votes). Such 2 then would go head to head. The math obviously becomes rather complex with 4 or more choices-- 3 versus 1, 2 versus 2. With 5 choices-- 4 versus 1, 3 versus 2 With 6 choices-- 5 versus 1, 4 versus 2, 3 versus 3 Etc. The math would obviously be even more complex for proportional representation elections. Thus, OR combinations are a variant of a (single) head to (single) head matrix.
