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Player rating for tournaments across all installments of Heroes.
I want to clarify the bonus points issue. I don't think I was understood correctly. Here's what I meant. After each tournament, a ranking grid is created from the submitted save files, based on their previous ranking. And the player who takes first place in this grid is considered the strongest player and should be in first place. It doesn't matter what their overall ranking is; what matters is their position in the specific grid. Thus, if a player is in 100th place in the overall ranking but takes first place in a specific tournament grid, their bonus will be calculated based on their first-place finish. And even though they took first place, they won't get a significant increase because the others are even weaker. But if they participate in a tournament where they are 25th in the grid, and they take first place (agree, this would be a breakthrough - beating 24 stronger opponents), they will receive a substantial bonus.
Only if you play at or above your level in a tournament will the bonus be positive. I am more inclined towards the formula B = N / (R(i) - M(i)). The values will be small here. But if we want to reward those who make a significant breakthrough, it makes sense to use a different formula - B = N / (M(i) / R(i)). Where N is the number of players, R(i) is the player's ranking, and M(i) is the player's position in the tournament.
This way, there shouldn't be any such issues.