[EM] The 3 Matrices

[DEMOREP1 at aol.com]

For new EM readers (and perhaps even old EM readers who can still learn 
something)--

The 3 Matrices

1. Absolute Votes Matrix (for each choice)

Variations

A.       YES                           NO
B. +100 percent     to    -100 percent (for folks with negative math skills)
C. 100 percent      to          0 percent (for folks without negative math 
skills)
D. A scale based on the number of choices.  Example 5 choices. Each choice 
might get a 5 to 1 value.
E.   A 1 or 0 scale (simple Approval).

2.  Relative Votes Head to Head Matrix

        A       B        C      D     etc.
A      x      A/B    A/C   A/D
B     B/A     x       B/C   B/D
C     C/A    C/B      x    C/D
D     D/A    D/B    D/C    x
etc.

Each B/C type entry shows the number of voters who relatively rank the top 
choice over the bottom choice using relative Number Votes (1, 2, etc.)

The matrix can be redone by subtracting the smaller amount from the 
corresponding larger amount.    B/C = 45,   C/B = 55,   C/B (net) 10

3.  Relative Place Votes Table
              Place
         1     2      3     4   etc

A     A1   A2    A3   A4
B     B1   B2    B3    B4
C     C1   C2    C3   C4
D     D1   D2    D3   D4
etc.
Totals

Each entry (such as D2) is the number of relative Number Votes for such 
choice in such place.

-------
Various *strange* things start happening with 3 or more choices in B. and C. 
especially.

Example- In the head to head matrix (2.) a choice may or may not beat each 
other choice and a choice may or may not be beaten by each other choice.

These *strange* possibilities result in the various executive/judicial and 
legislative body election methods for single or multiple winners.

Are there any more matrices (with their possibilities) floating around ???

How many *average* politically intelligent citizens can understand such 3 
Matrices ???