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Player rating for tournaments across all installments of Heroes.

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IronAxe;60463
But no one knew that the newbie with zero rating would turn out to be so good. And how can you determine this before the player plays and proves himself?
This coefficient is designed to resolve minor situations, not major ones. And this situation shouldn't be used to spoil the minor ones.
I'm talking about tournaments without such newbies.

Added after 12 minutes
AmberSoler;60465
It's not clear why it's easier to get a higher ranking in the second example. From the perspective of a strong player? I suggest looking at it from the perspective of the average player... And therefore, the second example actually requires a higher coefficient - because the spread is greater... and the chances for a weaker player to break through to the top are less...
In the second tournament, there are fewer strong players, so the chances for a weaker player to get a place closer to the leaders are greater.

Added after 5 minutes
AmberSoler;60465
I ask you to grasp the idea: the weaker the average player in the tournament is compared to the top players, the fewer chances he has on average, and the more the non-linear coefficient of rating calculation pushes him into a corner (the effect of lowering the bar) - which means that, for balance, the tournament rank should be taken into account...
The partially linear part corrects this situation.
Твой дом там, где твоё сердце.
Все люди - братья, но в каждом из нас спит волк.