FREE COMPETITION The free competition will use the following ranking system. Teams all start at a ranking equal to their current team rating. From that point on their ranking score will be calculated after every match. When an experienced team beats a rookie team the point win and loss will be minimal. When the rookies beat the experienced team, the win and loss will be greater. This means that constantly bashing rookie teams won’t get you to the top that easily. Even a draw can cost you points.
The way the new ranking is calculated is explained below. These formulas are based on Bernd Kreimeiers theories which can be found at http://www.gamasutra.com/features/20000209/kreimeier_pfv.htm.
THE SYSTEM The maximum number of points to gain or lose is 20.
Result is 1 when team 1 won, 0 when team 2 won or 0,5 if the match ended in a draw. Rating change = 20 * (result – expectancy (see below)) Rankingscore 1 = rankingscore 1 + rating change Rankingscore 2 = rankingscore 2 - rating change
CALCULATING THE EXPECTANCY R1 = rankingscore1 / 200 R2 = rankingscore2 / 200 1 P = R2 * (1 – R1) 1 + R1 * (1 – R2)
P is the probability that player 1 will win the match.
EXAMPLES In the following examples the expectancy is calculated in the left column. In the right column you can see the new rankingscores depending on the outcome of the match. Each column shows the result for 1 outcome.
Team 1 – rankingscore 100 Team 1 Team 2 Draw Team 2 – rankingscore 150 Change 15 -5 5 1 Team 1 115 95 105 P = 0,75 * (1 – 0,5) = 0,25 1 + Team 2 135 155 145 0,5 * (1 – 0,75) So the changes of team 1 winning the match are 25%.
Team 1 – rankingscore 110 Team 1 Team 2 Draw Team 2 – rankingscore 100 Change 9 -11 -1 1 Team 1 119 99 109 P = 0,5 * (1 – 0,55) = 0,55 1 + Team 2 91 111 101 0,55 * (1 – 0,5) So the changes of team 1 winning the match are 55%.
Team 1 – rankingscore 200 Team 2 – rankingscore 100 Team 1 Team 2 Draw 1 Change 0 -20 -10 P = 0,5 * (1 – 1) = 1 Team 1 200 180 190 1 + 1 * (1 – 0,5) Team 2 100 120 110 So the changes of team 1 winning the match are 100%.