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Player rating for tournaments across all installments of Heroes.
And if we calculate the average rating based on the number of tournaments played by each player, then there's no need to age the rating... Also, there's no need to include inactive players in the current ranking... If they don't play, they're not included; when they return, their rating is restored to the table... How does this idea sound? This would be a simpler calculation system... Also, display the number of tournaments a player has participated in...
It would be easy to add a boosting coefficient for a player based on the number of tournaments they've played, to avoid a situation where one player has only played in a couple of tournaments and performed well, while another player has had both successes and failures, is active, but has a lower average rating... In that case, an activity coefficient could gradually increase their average rating...