It was suggested by @parker_friedland that I use some more wholistic metrics to evaluate the performance of winner sets in multimember systems.
I am already using 12 metric in the simulation but they are all pretty targeted at specific things. They are listed in the readme file.
Based on some optimal methods I have come up with the following metrics.
Harmonic Quality is just the Quality function from Harmonic voting.
Unitary Quality is the Quality function from the optimal version of Sequentially Spent Score
Monroe Quality is not really the Monroe function because voters can be in each of the V/W quotas more than once but this implementation should be reasonable and is very fast.
Ebert cost is not exactly what @Toby_Pereira suggested because it does not use the KP transform but it is hopefully reasonable. It is worth noting that this is very similar to a metric I already have called Utility Deviation. The Score Deviation and Favored Winner Deviation are also similar but care more about how voters are represented by multiple winners.
Are there others?