IronAxe
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I don't think it's worth complicating things by skipping games, and here's why. When you run a tournament, you don't calculate an overall RATING, but rather award points for each individual match to each player. Then, places are awarded based on the points earned. And only after that is a rating assigned to all tournament participants. Therefore, skipping a tournament should be taken into account by POINTS for the matches, like this:
Win - 3 points
Loss - 1 point
No-show - 0 points, but the player who showed up shouldn't suffer – they should be awarded 3 points by default, as if they won the match.
No draws – otherwise, there could be problems with fixed draws.
Therefore, there's no need to include things in the rating calculation formula that don't belong there. For online rating calculations after a tournament, it's sufficient to consider at least the PLACEMENT, and you can additionally consider the strength of the tournament based on the existing old ratings of the players who participated. Don't forget that all of this already exists in the VGAPlanets game system that I gave you. But if you want to reinvent the wheel :) – then go ahead.
Win - 3 points
Loss - 1 point
No-show - 0 points, but the player who showed up shouldn't suffer – they should be awarded 3 points by default, as if they won the match.
No draws – otherwise, there could be problems with fixed draws.
Therefore, there's no need to include things in the rating calculation formula that don't belong there. For online rating calculations after a tournament, it's sufficient to consider at least the PLACEMENT, and you can additionally consider the strength of the tournament based on the existing old ratings of the players who participated. Don't forget that all of this already exists in the VGAPlanets game system that I gave you. But if you want to reinvent the wheel :) – then go ahead.