Your system can be summarized as the ACBL masterpoints system, where people earn points for winning but never lose points for losing. Then, the rating just mea

Your system can be summarized as the ACBL masterpoints system, where people earn points for winning but never lose points for losing. Then, the rating just measures how often you play, with better players needed to play fewer games for the same points. How elo works: - Each player contributes points to a pool (based on their relative ranking) and the winner gets all the points. So you can generalize: - Each player contributes points to a pool (based on their relative ranking) and the winner gets all the points. This guarantees that "average sum of all ratings" remains constant over time. However, no matter what system you pick, it will have flaws. If people try to maximize their rating, then they will choose to play or not play based on who are the other players. For example, if the method you pick penalizes you for playing with weaker players, then people who want to maximize their rating will refuse to play against weaker players. You will always have a situation where the points a player contributes won't correlate to his actual chance of winning.