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Rating detailed calculation


The Elo rating system, named after the US physicist and mathematician Arpad Elo, is a method for calculating the relative skill levels of players. The system allows to calculate, from tables, how many games a player is expected to win based on a comparison of his rating to the ratings of his opponents. For example, if the difference in the player's ratings is no more than 3 scores the likelihood of a win or a loss is 0.5 or 50%.

Rating Calculation in Games

Rint — player’s initial rating
Rnew — player’s new rating.
dR — difference between players’ ratings.
K — the maximum possible adjustment per game (the K-value) is set at K = 10 for the strongest players (rating of 2400 and higher), K = 15 for the players with the rating lower than 2400 who played no less than 20 games, K = 25 for the novice players.
N — points actually scored in the game.
Nexp — expected score (taken from the Elo table).

Rnew = Rint + K (N — Nexp)

Rating Calculation in Tournaments

To calculate ratings in tournament, a new value is added, Rt — simple average of all the tournament participants’ ratings. dR — difference between Rint and Rt.

The Elo Table

dR Nexp (Rint >) Nexp (Rint <)
000-003 0,50 0,50
004-010 0,51 0,49
011-017 0,52 0,48
018-025 0,53 0,47
026-032 0,54 0,46
033-039 0,55 0,45
040-046 0,56 0,44
047-053 0,57 0,43
054-061 0,58 0,42
062-068 0,59 0,41
069-076 0,60 0,40
077-083 0,61 0,39
084-091 0,62 0,38
092-098 0,63 0,37
099-106 0,64 0,36
107-113 0,65 0,35
114-121 0,66 0,34
122-129 0,67 0,33
130-137 0,68 0,32
138-145 0,69 0,31
146-153 0,70 0,30
154-162 0,71 0,29
163-170 0,72 0,28
171-179 0,73 0,27
180-188 0,74 0,26
189-197 0,75 0,25
198-206 0,76 0,24
207-215 0,77 0,23
216-225 0,78 0,22
226-235 0,79 0,21
236-245 0,80 0,20
246-256 0,81 0,19
257-267 0,82 0,18
268-278 0,83 0,17
279-290 0,84 0,16
291-302 0,85 0,15
303-315 0,86 0,14
316-328 0,87 0,13
329-344 0,88 0,12
345-357 0,89 0,11
358-374 0,90 0,10
375-391 0,91 0,09
392-411 0,92 0,08
412-432 0,93 0,07
433-456 0,94 0,06
457-484 0,95 0,05
485-517 0,96 0,04
518-559 0,97 0,03
560-619 0,98 0,02
620-734 0,99 0,01
735 1,00 0,00

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