[EM] Highest Head to Head Loser Method

[DEMOREP1 at aol.com]

A YES/NO vote is used first since number vote ranking shows only relative 
relationships on a N or Percentage positive- neutral- negative scale.

Positive          Neutral             Negative

0, 1 or more   0, 1 or more     0, 1 or more

YES/NO is used because executive/judicial candidate elections are no 
different than a public issue election-- an issue (i.e. law) obviously should 
not pass unless there is a majority YES for it.

Minority YES choices are removed early to shorten the below head to head math 
(especially for 3 or more YES majority choices in a circular tie case). 

Back to rank number voting head to head basics- elect N choice(s)

TW = Test Winner(s), TL = Test loser, TOL = Test other losers

TW (N)      TL (one)         TOL (remainder)
A                  B                      C, D, etc.

Make all A, B, C, D, etc. combinations (standard matrix table).

A TW will defeat, tie or be defeated by a TL after the first choice votes 
from the TOL go to a TW or TL.

1. If a TW defeats each TL, then it is a Condorcet Winner (CW).
2. If a TW is defeated by each TL, then it is a Condorcet Loser (CL).
3. If a TW defeats, ties or is beaten by 1 or more TL, then there is a 
circular tie (CT).

The choice with the highest head to head defeat (using margins) shall lose.
Repeat, if necessary, until N choices remain.

Clones especially will be defeated (starting with the highest clone)--
C= 100 percent clone of B
35 ABCD
34 BCDA
31 DABC
100

A>B, B>C, B>D, C>D, D>A

100 BC 0 (margin 100)

A minority will rank its greater perceived evil(s) last or near the bottom- 
resulting in a compromise choice after the minority choice(s) and such 
evil(s) lose.

Majority (compromise and evil part(s)) > Minority
Minority + Majority compromise part > Majority evil part(s) (new minority)

The reverse of the above is obviously which one choice should lose if there 
are multiple choices.

Note- If 2 or more (M) executive or judicial officers are to be elected, then 
there are M effective votes on each ballot in the head to head math.

Note- A YES/NO vote in legislative body elections would provide some more 
information as which party or parties get majority support.