The
theory behind the rating system is, that a more skilled player (high rating) has
a higher probability of winning, when playing against a less skilled player
(lower rating). The specific probability of winning is calculated using the
formula below:
We
is the specific win-expectancy (probability), R1
is the players current rating, and R2
the opponents current rating.
This probability is used to re-calculate each players rating after a match,
using the following formula:
Rn
is the players new rating, Rp
is the players previous rating, W
is a variable to factor in the result of the match (1 = win, 0,5 = draw, 0 =
loss), We
is the specific win-expectancy, and K
is a value based on the players previous rating (Rp).
Rating |
K-value |
0 – 1799,999… |
40 |
1800 – 1999,999… |
30 |
2000 – 2199,999… |
20 |
2200+
|
10 |
|