The expected result is then compared to the actual result. The expected results is meant to predict somewhat accurately an average score over a significant number of races it is not meant to predict the score of a single race, as having both players finishing with a less than 2.5% time difference will not be the most common case. The expected results never reaches 0 and 1, but they can get extremely close to it. A player having more points will have a higher expected result. The absolute amount of points doesn’t matter, the expected results is solely dependent on the difference between both amounts 3. The current ranking points of both players in an ordered pair are used to compute an expected result. If a player quits before having crossed the finish line and seen his kart win or lose animation, his result is automatically 0. The result is linearly scaled between these points 2. If both take the same time, the result is 0.5. If B takes over 1025x A’s time to finish, A’s result is 1. If a player A takes over 1025x as much time to finish than player B, then A’s result (against B) is 0.

It depends solely on the finish time of each players. Resultsįor each ordered pair of player, a result is computed. These additions are only done once all the points change have been computed. The final points change for a player is the sum of all the points exchanges between one player and all the others. The bulk of points evolution, and what allows it to be used as a ranking tool, happens in this step.įor points exchange purpose, each N-players race is considered as a set of 2-players races the players being compared by pairs.Įach pair will then yield a points exchange, one winning exactly as much as the other is losing. Make sure that, for the great majority of players, their stabilized points after some play time is higher than the points of someone having not yet done a race.Reducing the points inflation, so that bad players doing only a few ranked races give away much less points to other players (by having less points to distribute to begin with and by having a worse expected result).

The purpose of the progressive distribution is double: The other 2000 are distributed progressively over the course of the 45 first races 1. Each new player is granted 2000 points to begin with by the ranked server. Base points distributionĪ player can receive a total of 4000 base points.

You can visit here to see current player rankings. Once a player has received all his base points, his points evolution depends entirely on losing or winning points to others. New points are introduced in the system when new players start playing, but they are then shared among a larger amount of players, keeping in check the amount of points a player can have (even if, over time, players stopping being active will lead to a slight points inflation). The player rankings system is based on a point-exchange system between players, broadly similar to ELO. (This page is outdated and may not reflect latest specification) Contents

Supertuxkart world record