Player rating for tournaments across all installments of Heroes.

6. As I understand it, this coefficient will increase the points for all participants in the tournament, including the winner, which means that his point difference from everyone else will become even greater. What is the point of introducing it then? How can this coefficient, as you say, "somehow compensate for the imbalance caused by the appearance of a strong player in the tournament, who will significantly 'lower the bar' with his exceptionally strong performance?" If I have misunderstood something about the coefficient, please explain.

I think it needs to be clarified.

1. Let's assume we are playing a tournament where all opponents are equal. The winner (22 days) receives 100 points. Second place, 25 days - 22/25*100=88 points.

Another tournament, let's say on the same map (for simplicity) but with different players. And a strong player joins the tournament, who completes it in 8 days and scores 100 points. The others complete it similarly to the players in the previous game: 22 days - 8/22*100=36 points, 25 days - 8/25*100=32 points.
This is understandable.

A small imbalance arises - two different players completed the same map in the same time (22 days), but in the first case, the opponents were easy, and the player managed to get 100 points, while in the second case, a player of the same skill level was given only 36 points (for second place!) due to the appearance of a strong opponent. This is what I call "lowering the bar"... This is somewhat unfair... I say "somewhat" because in life, everything is not always fair - some are luckier than others, which is what we see in our example...

The oscillator is also designed to combat these kinds of inconsistencies - second place should still be significant, even if the gap from first place is very large. We will still have to fight for its adoption, but that is a matter for the future :)

2. So, here's what I'm getting at:
if a tournament qualification coefficient is introduced, then the appearance of a strong player (or several) in the tournament increases the rank of the tournament itself. Moreover, the dependence is direct - the stronger the opponents, the higher the coefficient. That is, in the case of a strong player appearing, for a map completed in 22 days, not 36 points will be awarded, but quite possibly 60 points, or even more...

Which will somehow compensate for the fact that the bar was significantly lowered by a strong player. The winner will also receive a higher rating, but we are comparing two players of equal strength, one of whom was simply "unlucky" with his opponents...

Well, in short, it will look something like this... In sports, by the way, this is exactly what happens. To get the next title, you need to excel in a tournament where there are definitely masters of a high rank, otherwise, a victory among relatively weak opponents will not bring the athlete anything but a medal... :)

Added 20 minutes ago

3. The oscillator is a rather ambiguous thing that can both add and subtract points. But I am still for it.

But it will do so fairly and eliminate the effect of randomness in the outcome, which is very important.