Mr Changsha wrote:If I want to play fruitcake in a trips game (as we sometimes do) then my team is usually around 2400, 1400, 1400. (BTW there is no point inflation going on here...my friends just happen to be at that level). Fruitcake would naturally take two minus 800 players to even up the points a bit...as it is highly unlikely he would win 5 out of 5 against me, but would rather be aiming for 3 out of 5 (I would think).
Or take this game as an example...
Game 5093370
Team 1 and team 4 are pretty standard officer teams but teams 2 and 3 have some of the highest ranked players on the site. I suggested to both Herpes and Fc that they would be welcome to take as 'cookish' a player as they could find..to even up the points.
How would your change affect this games' scoring and would it be of benefit in this case?
Changsha's team was 3898 becomes 6343
Fruitcake's was 5161 becomes 8906
Herpes' was 6876 becomes 13084
Captains was 3924 become 5992
Below, the numbers in front of parens represent using the new method, in parens is the current method:
So if Captains win, they get 43(35) from Herpes, 30(26) from Fruitcake, 21(19) from Changsha.
If Fruitcake wins, he gets 14(15) from Changsha, 29(26) from Herpes, 13(15) from Captains.
If Herpes wins, he gets 10(11) from Changsha, 13(15) from Fruitcake, 9(11) from Captains.
If Changsha wins, he gets 28(26) from Fruitcake, 41(35) from Herpes, 18(20)from Captains.
If the remaining players have equal chance of winning given a Herpes loss, then Herpes loses (35+26+35)/3 = 32 if he loses. And he gains 37 when he wins. So he would have needed to win 32/(32+37)=46% of the time to break even.
Under new method, he loses (43+29+41)/3 = 37.7 when he loses and gains 32 when he wins. Now he needs to win 37.7/(32+37.7) = 54% of the time to break even.