JKLM Interactive - Player Rankings

Overview

The rankings are calculated from the game results. Scores for winning are influenced only by the number of players in the game (so winning by a big margin is irrelevant), and if you don't win, your score is determined by how from winning you were. So to do well, win lots of games, and come as close to winning as you can in the rest of your games. Note that your finishing place in the game doesn't matter - so coming second a long way behind the leader is worse than coming fourth in a close game.

The Details

If you are interested in the details, it is done using a two stage process.

Firstly, all the games of each type are analysed, to find out the average losing score as a percentage of the winning score for that type of game. This is then subtracted from 100, to give the distance the average loser was from winning, as a percentage.

Secondly each game is scored in turn. For each game, the winner gets 100 points. The losers are allocated points based on how far behind the leader they were. If they tied the winner, but lost on the tie-break, they get 75. If they were the average distance behind the winner, they get 50. Twice the average distance and they get 25. Three times and they get 0. Inbetween these marks and the score is worked out on a sliding scale (In general, a player who is n times the average distance behind the leader scores 75 - 25*n). Note that you never get a score of less than 0. If you are more than 3 times the average distance behind the winner, you are given a score of 0.

Each game then has all its scores multiplied by the number of players in a game. So winning a 2 player game is actually worth 200, and winning a 5 player game is worth 500.

Each player then has the scores from all their games totalled, and then divided by 500 plus the total score they would have got if they'd won every game. This is then multiplied by 100 to give the players overall score.

Example

Bob has played two games of Phoenicia. He won one - a three-player game, and lost the other - a four-player game - scoring 28 to the winner's score of 32. For this example, assume Phoenicia losers average 20% less than the winning score.

For his three player win, Bob scores 100 * 3 = 300.

For his four player game, Bob is 1 - (28/32) = 12.5% behind the leader. So this is scaled to 75 - (25 * 12.5/20) = 59.37. It is then multiplied by 4 (the number of players) to give 237.5.

So Bob's total score is 537.5 from his two games. His maximum possible score is 700, so his overall rating is ( 537.5 / (700+500) ) * 100 = 44.79

So that's all clear, right? No... Good job the computer works it all out for you then!