Rating system for online games in Heroes of Might and Magic IV.

That's essentially correct. So what? The main thing is that at the end of this match (tournament), we get a distribution of the participants' places, and then, based on the places and the number of participants in the match (tournament), we calculate the rating.

So what? You run the tournament to the end, where you calculate points for all participants based on whether they won/lost/didn't show up. At the end of the tournament, you calculate the final results for everyone and distribute the places. And how is this different from the final in VGAPlanets? You have the same initial data - this is the distribution of participants' places and the number of participants in your tournament. You take the calculation system and assign a rating to your players for this tournament.

So why do you need to adjust anything now?