[Election-Methods] Determining representativeness of multiwinner methods

[Kristofer Munsterhjelm]

Hi again,

>- When you presents simulation results, is the best method the one with
>greatest or smallest score? IRV is considered the best majoritarian method
>but its score is between Nauru-Borda and Plurality

Oops, that was an error on my part. Since the scores are normalized 
root-mean-square error measurements between the assembly and public issue 
profiles, lower is better. 

>- In some countries, particularly federative ones, many issues are highly
>correlated to subnational territories. Because of this, in real scenarios
>majoritarian methods are a bit more proportional than in simulations where
>all political factions are equally spread within all the country. Had you
>considered some correlation with distribution of issue vectors and electoral
>districts?

Since the simulation runs a given election method only once per evaluation, 
it elects the entire assembly from a single set of ballots, which means it 
doesn't know anything about regionality. It shouldn't be too hard to implement 
district votes: simply have q districts and q mini-elections for their parts of 
the assembly. 

In the case of a nationwide vote (single election to entire assembly) with 
correlation of issue vectors and electoral districts, I don't think the results 
would differ much, since the largest district or group of districts would trump
the other districts.