Reversal Symmetry Criterion & Borda-Elimination

[DEMOREP1 at aol.com]

The math of reversals shows up especially with 4 or more choices.

4 choices
24 combinations

The sum of the votes in the first 2 places of all of the votes may or may not 
be a majority for a choice.

If reversed, then any majorities would be minorities.

Throw in some clones (from 100 percent to bare majority) and more *strange* 
stuff happens.

I mention again that when a third choice is added to two existing choices, 
such third choice may beat 2, 1 or 0 of the two original choices --- which 
shows up in the various tests of the various election methods -- i.e. Any 
method will have some sort of defect -- or, in other words -- see Mr. Arrow's 
observations.