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HoMM3 Online Game Rules - Version 1 (XI.2007-XI.2010) and rating calculation formulas
Starting with the Fall 2008 season, players who place high in online Tournaments will receive additional points added to their rating, in addition to the points earned from games, according to the following table (only tournaments that ended during the season will be included):
This table is not intended to be universally applicable and will only be used when calculating the rating for the specified season; we’ll see what happens afterward and may make some changes.
Many thanks to scorp for suggesting this table format and providing his reasoning.