Reverse Symmetry Criterion

[David Catchpole]

On Tue, 27 Mar 2001 DEMOREP1 at aol.com wrote:

> Mr. Harper wrote-
>
> Here's a stupid example:
>
> 11 A>B>C>D>E>F
> 10 B>C>A>E>F>D
> 9 C>A>B>F>D>E

Let's see... who's the Nanson winner?

59	A
59	B
62	C

If A gets excluded, B wins. If B gets excluded, C wins. Geez, it _is_ a
good stupid example. No real point to this - just bored.

>
> Now there's neither a Condorcet Winner, nor a Condorcet Loser, but I reckon
> any
> method which elects the same person as both the best and worst candidate has
> to
> have made a mistake somewhere...
> ---
> D- Can any of the choices get a YES majority ???
>
> Each of the ABC group obviously defeats each of the DEF group.
>
> An ABC type group is called a Smith Set-- its members each defeat the members
> of other sets/groups.
>
>

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