Player rating for tournaments across all installments of Heroes.

Greetings, Lords,
I would like to share my opinion on this matter:
1) The Kamikaze VS Fireball debate: I support the latter.
This quote perfectly illustrates my opinion:

Therefore, the rating should rely more on logic and less on coefficients (i.e., personal perception).

2) The AlexeyPank VS Fireball debate: again, I support the latter.
Let's clarify what Tournament Strength means. It is either the prestige of the tournament (which is not related to the difficulty of the task) or the difficulty of the task in the tournament.
At the same time, the difficulty of the task is a very subjective thing, and, in my opinion, it is impossible to assess it. The participation of strong players in a tournament is not an indicator of the tournament's strength. IMHO.
However, the prestige of the tournament is a different matter. But it can be easily determined using an oscillator. All that is needed is to increase the maximum number of points for the tournament.

Players' strength based on their previous games is, in my opinion, a completely unnecessary parameter, because only the result of the played tournament should be taken into account in the rating, and it doesn't matter how they played in the past! What matters is how they performed in the current tournament. Otherwise, we may end up with a rating that reflects not the player's strength, but their ability to "play" with these bonuses.

The oscillator does not reflect:
1 - The strength of the tournament.
2 - The strength of the players based on their previous games.

From what is written above, it follows that these parameters are not critical.

However, the oscillator can be improved by replacing the linear component with some non-linear one.

Thank you for your attention.
Sincerely.