[EM] OR Combinations

[DEMOREP1 at aol.com]

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.