FabledIntegral wrote:Would this not hurt 1v1 players more than it would hurt 8-man players? Or do you propose that if you win an 8-man you'd win 7 less points than usual? Forgive me if this was addressed, but it's at 4 pages now.
I was initially thinking that you would want to -1 for each opponent. But I just ran the numbers and found that by doing so, playing 8 mans makes you lose 0.875 points per game, while playing 1 on 1 makes you lose 0.5 points per game. This would discourage people from playing 8-mans because they would be losing more points per game than those that chose to play fewer opponents.
Assuming all players have same score and equal chance of winning:
n__loss_defl__gain__p(w)__p(l)___delta/game
8__140__-7___133__0.13__0.88____-0.88
7__120__-6___114__0.14__0.86____-0.86
6__100__-5____95__0.17__0.83____-0.83
5___80__-4____76__0.20__0.80____-0.80
4___60__-3____57__0.25__0.75____-0.75
3___40__-2____38__0.33__0.67____-0.67
2___20__-1____19__0.50__0.50____-0.50
'n' is number of players/teams
'loss' is total points lost by all losing players in a game.
'defl' is the points to subtract from the victor.
'gain' is the points gained by the victor.
'p(w)' is the probability of winning, given equal skill
'p(l)' is the probability of losing, given equal skill
'delta/game' is the net change in score per game = p(w) * gain - p(l) * 20
If 'defl', the quantity subtracted from the victor, is changed to n/2 instead of n-1, players lose 0.5 points per game, regardless of quantity of players.
n__loss__defl__gain__p(w)__p(l)__delta/game
8__140__-4.0__136__0.13__0.88____-0.5
7__120__-3.5__117__0.14__0.86____-0.5
6__100__-3.0___97__0.17__0.83____-0.5
5___80__-2.5___78__0.20__0.80____-0.5
4___60__-2.0___58__0.25__0.75____-0.5
3___40__-1.5___39__0.33__0.67____-0.5
2___20__-1.0___19__0.50__0.50____-0.5
So that means subtracting half a point from the victor for each player in the game.