Player rating for tournaments across all installments of Heroes.

Ah, these "ceiling" numbers... By the way, I don't like such a large gap between 1st and 2nd place...

This is a motorcycle racing system; the probability of crashing when riding at the limit is quite high. Therefore, the reward for winning should be commensurate. VDV Forever has a difference that is twice as small. Choose, I don't care.

Well... you're exaggerating about the logic... because the existing linear formula is much easier to understand than:

Logic and comprehensibility are not the same thing. A logical function satisfies certain properties that we need. And a comprehensible one... I think it's clear what I mean. It all depends on the mathematical background of those around us. And I mentioned the degree just as an example.

With the introduction of this formula, we need to think... but not about the formula itself, but about the philosophy of our system, i.e., we need to clearly define and understand what we want from the ranking! Who should it encourage, and who should it punish? After that, it will be easy to write a formula that satisfies our criteria...

I completely agree; the main question is precisely about the philosophy of the system, but this question is highly subjective.