[EM] A 48% Group elects 60% of the Droop Members
David Catchpole
s349436 at student.uq.edu.au
Wed Nov 17 17:22:00 PST 1999
On Mon, 15 Nov 1999 DEMOREP1 at aol.com wrote:
> Can a bare majority of Droop quotas in a single at large district produce
> indirect minority rule ?
>
> S= Number of seats, T = Total votes
>
> Odd number of seats-
>
> (S+1)/2 x (T/(S+1) +1) = (T + S + 1)/ 2 votes
>
> Since the result is greater than T/2 the answer is NO.
Tankyou.
> Note that with a large T and a small S, the result will barely be over 50
> percent of T.
>
> Even number of seats-
>
> (S/2 +1) x (T/(S+1) +1) = (S+2)/2 x (T + S + 1)/(S+1) votes
Is (S+2)(T+S+1)/2(S+1)<T/2 ?
(S+2)(T+S+1)<T(S+1) ?
ST+2T+S^2+2S+S+2<TS+T ?
T+S^2+2S+S<0 ? Obviously not, as everything on the left hand side is
positive, so again, no.
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