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

So, let's summarize:
Tournament Rating = Rold1/n
Where Rold1 = the sum of all Rold ratings of the players in the tournament
n = the number of participants
I think we can agree on this, right?

Where Rold1 = the sum of all Rold ratings of the players in the tournament, which they had at the end of the current tournament.
In other words, the calculation for the first tournament will be done in such a way that the old rating of each player = 0. Tournament Rating = 0.
And here's what needs to be checked now. I remember that in this case, the player who takes first place will have a rating of around 3000. Why is it necessary to check this? It's because we need to understand what that tricky sign means – raising to a power or taking a cube root – and how the number 6000 will behave in this case. We need to take an abstract tournament, say with fifteen players. Assign them places and, assuming that the old rating of each is ZERO, calculate each player's rating for the tournament. What will the result be? OptiMAL, you can practice ;)