[Date Prev][Date Next] [Thread Prev][Thread Next] [Date Index] [Thread Index]

Re: voting mechanics draft update

On Sat, Nov 16, 2002 at 05:23:13AM +0100, Matthias Urlichs wrote:
> >        v. If this new Schwartz set contains only one option, that
> >           option wins.
> > 
> As per the definition, there is no such thing as a one-option Schwartz
> set, so actually you'll have to restart with step 5. You might therefore
> replace the last two sections with a simple

]       i. All options not in the Schwartz set are eliminated.
]          Definition: An option C is in the Schwartz set if there is no 
]          other option D such that D transitively defeats C AND C does
]          not transitively defeat D.

Uh, if C is the Condorcet winner, or becomes the Condorcet winner after
ignoring some defeats of it, the Schwartz set has only one option.

Consider the vote:
		20 A B C D
		30 B C A D
		40 C A B D
the weakest defeat is C > A (50:40), which gets eliminated leaving A >
B and B > C (and A,B,C > D), and the second Schwartz set is {A}.


Anthony Towns <aj@humbug.org.au> <http://azure.humbug.org.au/~aj/>
I don't speak for anyone save myself. GPG signed mail preferred.

 ``If you don't do it now, you'll be one year older when you do.''

Reply to: