Hi I noticed something about the borda-count description that is not accurate:
[quote:3gg1kchk]
So, if we have four factions the first faction gets 1 vote, the second 0.33, the third 0.25 and the fourth 0 (the maths behind this are slightly different, but the effects are the same).
[/quote:3gg1kchk]
This isn't quite right. The points given for each ranking under the old Ulrika regime was (n - r) / (n - 1). Where n is the number of factions, and r is the rank of the faction. That is, for 4 factions, the best ranked gets 1 point, 2nd place gets 2/3 points, third place gets 1/3 points, and last place gets 0 points.
My own improvement to this is to normalize it simply to (n-r). Best ranked gets 3 points, 2nd place gets 2 points, 3rd place gets one point, and last place gets no points. Ulrika's scheme and mine are equivalent in the sense that both will result in the same faction allocation using the Sainte-Lague method. My scheme however results in the totals being integers rather than fractional.
Unfortunately, Fernando's weightings are different, and could result in a different faction allocation. Fernando *did* contact me to ask how the borda count weighting worked, and I'm afraid my explanation to him was inadequate. I apologize for that.