That is to say, your previous articles talked about single-winner elections. This one talks about elections where the number of winners is large enough that prop-rep makes sense as a goal. But there’s a number of two-winner, three-winner, etc. elections out there. What’s been devised for those?
Generally, you can use prop-rep methods, but some of the considerations in choosing which method shift a bit. Complex ballots are not as much of a problem as in bigger prop-rep situations, while premature elimination isn’t as big a problem as in single winner. Thus, for off-the-shelf methods, STV or EPH are pretty good in those cases. If I were to design a method for a specific case, I could probably do better, but it might not be worth it.
Question: What about the intermediate case?
That is to say, your previous articles talked about single-winner elections. This one talks about elections where the number of winners is large enough that prop-rep makes sense as a goal. But there’s a number of two-winner, three-winner, etc. elections out there. What’s been devised for those?
Generally, you can use prop-rep methods, but some of the considerations in choosing which method shift a bit. Complex ballots are not as much of a problem as in bigger prop-rep situations, while premature elimination isn’t as big a problem as in single winner. Thus, for off-the-shelf methods, STV or EPH are pretty good in those cases. If I were to design a method for a specific case, I could probably do better, but it might not be worth it.