Player rating for tournaments across all installments of Heroes.

There is a physical model, and it was taken from this very portal. The model is as follows:
- Tournaments involve players with very different skill levels.
- There are certain proportions between the number of players of different levels (conditionally strong, average, and weak), which change from tournament to tournament.
- The fluctuations of these proportions are not too large (at most, a few times, but not by orders of magnitude).

Correct, you provided a physical model for conducting a tournament, but not a physical model explaining your calculation mechanism. That's what was meant. Try to explain your method for calculating the coefficient in simple terms:

(10*(60+20)+5*20)/1000=0.9

After all, we gave a new player 20 rating points, which is quite justified – because their experience is higher than zero (and I think it would be more appropriate to indicate the number 30 here). But it is not clear why you are adding those same 20 to the player's already formed rating again? This is not a gift to newcomers "for free"; they will not receive these 20 points in their total, which you are trying to compensate for by adding the same amount to everyone else. This is an attempt to approximate the total strength of all participants in the tournament to reality. And it is used only to calculate the coefficient...

We have 15 players who have a clearly defined rating. Their sum is the criterion, i.e., 10*60+5*20=700, which is understandable. Next, you adjust the final sum by an amount equal to the number of players with a formed rating, multiplied by the average rating of newcomers... Why? The essence of this adjustment is not intuitively clear...