[EM] STV question (was: re: Hare clustering)

[Colin Champion]

I don't think this quite works. Suppose that there are 6 seats and that 
2/3 of the voters are concentrated at a point X with 1/3 at Y. The best 
result is to elect 4 candidates at X and 2 at Y, but neither my metric 
nor yours cares what the balance is between candidates elected at the 
two points (assuming that 'their representatives' means 'their closest 
representatives').

Maybe it's not so easy.

CJC

On 11/02/2022 07:29, Forest Simmons wrote:
>
> But the objective function needs to put more pressure on equalizing 
> the size of the constituencies of the respective representatives.
>
> To that end I suggest electing the slate of candidates that minimizes 
> the following quotient...
>
> The average distance of the constituents to their representatives...
>
> Divided by
>
> The geometric mean of the cardinalities of the respective constituencies.
>