[EM] RE: The family of "regular" probabilistic (stochastic) electoral systems

[DEMOREP1 at aol.com]

This list has gone through the 3 choice circular tie example about 5 times in 
the last 3 years.

The simple general example is--

N1  A>B>C
N2  B>C>A
N3  C>A>B

Assume-
N1+N3 A > N2 B
N1+N2 B > N3 C
N2+N3 C > N1 A

The preceding can obviously be expanded for 4 or more choices.  Adding clones 
complicates things further- such as choice B1 after each B (who is totally 
defeated by B).

I have noted many times that for the single office case that a choice should 
get a majority YES vote.  
The minor chaos occurs if 3 or more choices get YES majorities and there is 
no head to head winner. 
One obvious option is to have the choice with the lowest YES majority lose 
and to recheck the head to head math.

What multi-vertex 3 dimensional math inventions (cubes, tetrahedrons or 
whatever) have to do with the preceding is totally beyond the understanding 
of the average citizen who has to do the voting in real elections (or to 
adopt some new election method beyond simple plurality).