[EM] Proportional preferential voting

[David Catchpole]

Craig... could you give another description of this? I don't quite catch
on...

> > The 3 candidate methods: 
> >   Proportional rule based preferential voting
> > 
> > 
> > ----------------
> > |A.. |     |   |
> > |AB. | Zab | a |
> > |AC. | Zac |   |
> > ---------------
> > |B.. |     |   |
> > |BC. | Zbc | b |
> > |BA. | Zba |   |
> > ----------------
> > |C.. |     |   |
> > |CA. | Zca | c |
> > |CB. | Zcb |   |
> > ----------------
> > 
> > (A wins) = (b+c<2a)[(b+Zcb<a+Zca) or (2b<a+c)][(c+Zbc<a+Zba) or (2c<a+b)]
> > (B wins) = (a+a<2b)[(c+Zac<b+Zab) or (2c<b+a)][(a+Zca<b+Zcb) or (2a<b+c)]
> > (C wins) = (b+b<2c)[(a+Zba<c+Zbc) or (2a<c+b)][(b+Zab<c+Zac) or (2b<c+a)]
> > 
> > ({B,C} win) = (b+c>2a)[(b+Zcb>a+Zca) or (2b>a+c)][(c+Zbc>a+Zba) or (2c>a+b)]
> > ({C,A} win) = (c+a>2b)[(c+Zac>b+Zab) or (2c>b+a)][(a+Zca>b+Zcb) or (2a>b+c)]
> > ({C,A} win) = (a+b>2c)[(a+Zba>c+Zbc) or (2a>c+b)][(b+Zab>c+Zac) or (2b>c+a)]
> > 
> > The total number of papers for A is a, etc.
> > The number of voting papers marked 'ABC' is Zab, etc.
> > The duality relationship that seems to apply to this class
> >  of methods, is evident.
> > 
> > The alteration rules roughly merely define slopes of flats bounding
> >  the convex polytope where a single candidate wins.
> > 
> > The is no arbitrariness introduced into the formulae above.
> > There is no proof also, so please regard this message as being
> >  perhaps without merit since there is absence of even intent
> >  to provide proof.
> > 
> > I want another mailing list, a place where numerical examples are
> >  used just for destroying other methods and algebra of polytopes
> >  is used to build rigourously, preferential voting theory.
> > Which then gets implemented onto computers.
> > 
> > [Sent to mailing of
> >     http://www.eskimo.com/~robla/cpr/election-methods.html ]
> > 
> > 16 September 1999
> > Mr G. A. Craig Carey
> > Avondale
> > Auckland
> > 
> > 
> > 
> > 
> > 
> > 
> > Mr Craig Carey
> > 
> > E-mail: research at ijs.co.nz
> > 
> > Auckland, Nth Island, New Zealand
> > Pages: Snooz Metasearch: http://www.ijs.co.nz/info/snooz.htm,
> >  & Public Proxies, MEDLINE Search, Multithreaded Add-URL
> > _____________________________________________________________
> > 
> > 
> 
>