[EM] A 48% Group elects 60% of the Droop Members

[David Catchpole]

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.