25AUG11 - Overall ranking and score

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Back in March 2010 I said I'd post how overall scores were calculated. After extensive searching I seems I never followed up - so to complete the circle...

We use a dynamic relative scoring system. A players total score is calculated as follows:

As a player's score (playerTotalScore) is relative to the server total score (totalScore) a player who does not add to their score is likely to drop in total score as the server's combined score increases.

Each category portion of a player's score is a ratio of the player's score in that category (popScoreplayer) to the top player's score in that category ( max(popScore) ).

e.g. 
If a player has the top score in that category the contibution from that category is ( n/n ) = 1 
If a player has half the score of the top player in that category the contribution is ( 0.5n/n ) = 0.5
This means if you had the maximum score in all categories the bit in the brackets above the line would sum to 8. This bracketed calculation is then multiplied by the total score of the server across all categories. 

We then divide by 8000 - which is 8 x 1000. The 8 is to reduce normalise the eight contributions and the 1000 is because the numbers were getting too big 

A consequence of this is if you push your score up, you can push another players score down. If a player is scoring higher than you and their contribution is only from a few categories you can overtake them by adding to your score from other categories etc. 

Edited by GM Stormcrow - 17 Oct 2016 at 03:20