It's very important to note that with multiwinner approval voting, merely counting the votes per candidate and picking the top ones can lead to rather unfair results (unlike in the single winner case).
For instance, if we elect k=3 candidates out of 6, say, $a,b,c,d,e,f$, and out of N=19 people, 10 vote for $a,b,c$, and 9 - for $d,e,f$, then, with approval voting, $a,b,c$ get elected (as $a,b,c$, get 10 votes each, more than $d,e,f$), and almost half the voters, 9 out of 10, get no representation of their views. This is obviously bad - in such a case a fair outcome would be something like $a,b,d$. Here "fair" has to be quantified, of course. I've posted some details (and pointed at some solutions) on this here: https://github.com/sagemath/sage/pull/37501#issuecomment-2004121053 It would be interesting to get the anonymised returned ballots and see if we did well on this occasion. As well, adjustments ought to be made along the lines outlined above. Dima On Saturday, March 16, 2024 at 12:48:16 PM UTC kcrisman wrote: > I also want to thank Vincent Delecroix, David Joyner, Harald Schilly, and > William Stein for their service on the committee up until this year. > > > Amen! > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/ebc788db-79c3-4dc3-af55-23297d3c88c0n%40googlegroups.com.
