Matchmaking

The matchmaking is based on a elo system. The user table will containt the elo score

When a player wants to play a match the system will add him to a queue. Then the system will try to match the players with the lowest difference in elo score. Before a match the expected score must be calculated for each player.

Expected score for player 1

Ra = PlayerA elo

Rb = PlayerB elo

Expected Score = 1 / ( 1 + 10^((Rb - Ra)/400) )

When the expected score is calculated and the match is over we can calculate the obtained elo for each player.

Sa variable is 1 if player wins and 0 if player loses. Ea is the expected score. Ra Resulting elo for player A

Ra = Ra + 32(Sa - Ea)