Possible rating system
Cool possible rating system... Where did we find it? Global Combat Website.
The Rating System
The rating system is heavily based upon the Elo system that is commonly used in Chess. It has a firm statistical foundation in determining a players rating in relation to each other. Note that a rating doesn't really have anything to do with the rankings. The rankings are simply the ratings sorted, where the rating represents a players skill level.
Each player is given a starting rating of 8500, although the player could be better or worse than that. After each game the rating gets moved up or down depending on the game results and the ratings of the other players.
The formula for how much your score changes is based upon a Score Expected vs. Score Received. Score Expected is based upon the difference in ratings. Below is a table that shows some some examples.
|
Difference in score |
Score Expected |
|
1500 |
.091 |
|
1400 |
.104 |
|
1300 |
.120 |
|
1200 |
.137 |
|
1100 |
.156 |
|
1000 |
.177 |
|
900 |
.201 |
|
800 |
.227 |
|
700 |
.255 |
|
600 |
.285 |
|
500 |
.317 |
|
400 |
.351 |
|
300 |
.424 |
|
200 |
.424 |
|
100 |
.462 |
|
0 |
.500 |
|
-100 |
.538 |
|
-200 |
.576 |
|
-300 |
.613 |
|
-400 |
.649 |
|
-500 |
.683 |
|
-600 |
.715 |
|
-700 |
.745 |
|
-800 |
.773 |
|
-900 |
.799 |
|
-1000 |
.823 |
|
-1100 |
.844 |
|
-1200 |
.863 |
|
-1300 |
.880 |
|
-1400 |
.896 |
|
-1500 |
.909 |
With more than two players your score expected is the average of your score expected against all other players.
The change in rating is based upon score compared to score expected. Your score in the game is based upon your place, with 1.0 being first place and 0 being last place. So in a five player game first = 1.0, second = .75, third = .5, forth = .25 and last place = 0. The difference is calculated between the score and score expected and then multiplied by 150 to get the change in score. If your score is larger than your score expected then you will gain points, if your score is less than your score expected you will loose points.
So if a player with a 8500 rating played a player with a 9000 rating and won the equation would look like this.
(9000 - 8500) = -500 score difference
Score Expected of -500 = .317
1.0 (score) - .317 (score expected) = .683
.683 * 150 = 102 rating points
The player with 8500 who won would have a new rating of 8602 and the player with 9000 who lost would be at 8898.