Is "Inverse Nanson" better than standard Nanson?
DEMOREP1 at aol.com
DEMOREP1 at aol.com
Tue Jul 3 13:02:40 PDT 2001
Mr. Cretney wrote in part-
The inversing makes the method more confusing, and I doubt it improves
on Nanson+'s properties. In particular, I suspect the method violates
monotonicity and clone independence. It clearly violates reversal
symmetry. So, I think I'll stick with Ranked Pairs, at least until
some desirable properties are proven for inverse Nanson.
---
D- For the newer folks I must note certain clone math.
51 A > B
49 B > A
100
Choice C comes along.
C can be ranked ahead or behind of A or B (the four combinations).
If C is ranked ahead of both A and B in *all* cases, then the A-B set is a
100 percent clone set of C.
51 C > A > B
49 C > B > A
100
In other words, ANY additional choice may show that the existing choices of
it are clones to various degrees (and vice versa) -- i.e. from a bare
majority to 100 percent.
I note that math purists claim that a clone is supposed only to be adjacent
to the a choice and to be 100 percent defeated by such choice-- such as 100 D
> E --- E is a (100 percent) clone of D.
Thus even with only 2 choices (as with the starting A and B above), there may
be a clone element.
Without an *absolute* rating by a voter, it is generally impossible to tell
whether or not a choice ranked after another choice is a clone of the earlier
choice or an *opposite*.
That is -- a voter votes-
Hitler > Stalin
Is Stalin a tyrant clone or an opposite ??
Due to the above, I again bring up the necessity in even a *semi-accurate*
election method of having BOTH *absolute* and *relative* votes --- showing up
in *at least* a Condorcet (head to head) table, a YES/NO table and a Place
Votes table.
Happy birthday U.S.A. --- 225 years old tomorrow -- especially in trying to
determine the *Consent of the Governed* in the second paragraph of the
Declaration of Independence.
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