Rating system for online games in Heroes of Might and Magic IV.

1) Regarding the calculation system you sent via email, I didn't understand anything there))) (There are many errors in the words, or I just didn't understand it.)

Just post the part of the document that directly describes the calculation formulas here and discuss it with the mathematicians. Everything is described in detail, in my opinion.

2) You correctly noted that this rating depends on the number of won games. I took it from Ubisoft; it's exactly the same there: the more wins, the better. If Gw=Gl, then it can be said that all the won games have been "offset," and this will negate the advantage. That is, if you need to maintain a high position, you need to try to win, and there will be an incentive for this.

The system is like this because there are no tournaments; it simply takes into account the number of wins and losses for each participant.

And regarding participation: If player A cannot play in a tournament, that's his problem. The tournament won't be stopped because of him. It's impossible to gather everyone. Let's look at the results after a couple of tournaments.

You've convinced me :) Maybe it will work this way too. But you still need to think about how to properly handle aging, as you were rightly pointed out. For example, a player plays mostly without losses on the forum for a couple of years. After a year, I decide to play too. What are my chances of catching up in the ranking, even if I also go without losses like him (which I highly doubt :) In my opinion, the ranking should be interesting in that even outsiders should have a chance to realistically get closer to the top players by having a few successful tournaments (winning prize places). But with this system, it turns out that to realistically get closer to the leaders in the ranking, you need to play approximately the same number of games as they have played in a couple of years.