[Election-Methods] Landau and Schwartz set

[John Wong]

That reminds me-what is the definition of the Landau set? How is different from the Smith and Schwartz Set? 

> Date: Sun, 23 Sep 2007 12:09:36 -0700
> From: honky1998 at yahoo.com
> To: election-methods at electorama.com
> Subject: Re: [Election-Methods] Landau and Schwartz set
> 
> > I know that the Landau set is a subset of the Smith set, and I know
> > that Schwartz set is a subset of the Smith set, but is Landau set the
> > subset of the Schwartz set, or is the Schwartz set the subset of the
> > Landau set?
> 
> Both are possible, so neither is generally true.  Given the votes
> 
> 4:A>B>C
> 1:B>C>A
> 3:C>A>B
> 
> the Landau set is {A, B, C} and the Schwartz set is {A}.  Given the votes
> 
> 3:A>B>C>D
> 3:B>C>D>A
> 2:C>D>A>B
> 1:D>A>B>C
> 
> the Landau set is {A, B, C} and the Schwartz set is {A, B, C, D}.
> 
> --
> Rob LeGrand, psephologist
> rob at approvalvoting.org
> Citizens for Approval Voting
> http://www.approvalvoting.org/
> 
> 
>        
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