Oli, correct me if I’m wrong; I thought I had lost a passage then I found it in your words:
how does the Won/Draw/Lost rating algorithm take into account a multiplayer game? The algorithm on the wiki is written for duels… are those formulas calculated for every couple of players each game? Namely 3 couples for 3 players, 21 couples for classic… 595 couples for WWIV?
“In fact a 3-palyer draw is all thre players getting a draw against each other and a win against all the rest.
Basically you compare each player one by one against each other player.”
I assume the answer is “Yes it does”.
Using the current formulation, by a player’s point of view:
After a duel my rating can change +/- 15
After a classic my rating can change +/- 15*6 = +/- 90
After a KW_901 my rating can change +/- 15*14 = +/- 210
After a WWIV my rating can change +/- 15*34 = +/- 510
I remind that using the coefficient of 400 in the exponential model means this:
+400
: ten times more skilled
+95
: three times more skilled
+60
: twice more skilled
+15
: 20% more skilled
+0
: equal skilled
-15
: 20% less skilled
-60
: twice less skilled
-95
: three times less skilled
-400
: ten times less skilled
BTW a player can still run out of points
But apart from this, I think that the core idea of the current algorithm is wrong: modeling a multiplayer game into a series of isolated duels.