🕸📝Fergus Duniho wrote on Tue, Jan 10, 2006 07:57 PM EST:
I'm returning to a matter Roberto raised earlier. Suppose a 3000 rated
player plays one game against a 1500 rated player and loses. As the system
works right now, the 3000 rated player would lose 300 points. In contrast,
if two 1500 rated players played one game together, the loser would lose
100 points. Therefore, I think the formulas for reliablity and stability
need to be changed. One idea is this:
reliability = pow((number of games played together),2)
stability = pow((abs(old_rating - 1500)/100 + 1), 2)
With these formulas, the 3000 rated player would lose about six points for
losing a single game to a 1500 rated player. Furthermore, both scores would
be equal for one game played between 1500 rated players, as they both are
now, and this would have the same effect. When two 1500 rated players
played a single game together, one would get 1600 and the other 1400.