nicestash wrote:DoomYoshi wrote:How about a new game type called survivor where everyone alive at the round limit splits the points?
That's what I was thinking.
The problem is determining how many points every player gets (as shown in my previous comment where it was beneficial for a higher ranked player to hold a hostage).
Yes, it's problematic to calculate an average number of losers' points and split that evenly among the winning players, because a weaker player who manages to survive to the round limit should presumably earn more points. So instead, split up the points won from each player proportionate to the relative rating of the surviving players, weighted towards the lower ranked players more. As an example,
Player A: 1600 (loses)
Player B: 1400 (survives)
Player C: 2200 (survives)
The average surviving score is 1800, so Player A should lose 22.5 points. Player B then gets 2200 / (2200+1400) of that, and Player C gets 1400 / (2200+1400); that is, Player B earns 13.75 points and Player C earns 8.75 points.
In your example, if we used this approach, in the second scenario the 4000 point player would actually only win 1.6 points from each losing player (instead of 5 if he had outright won), as seems more appropriate.