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Rating system for online games in Heroes of Might and Magic IV.
I'll contribute my ideas now.
The top 1/3 of all participating players are selected.
(I think there will always be more than 3 players, because if there are fewer, it's no longer a tournament.)
1st place - 12 points
2nd place - 8 points
3rd place - 5 points
If there are enough points for the rest (i.e., if there are 18 players), then:
4th place - 3 points
5th place - 2 points
6th place - 1 point
Once a month, the rating decreases by (let's say) 1/10. This can be further refined.
So, if a player had 20 points, it becomes 18.
And that's it.
The point isn't about the map or its difficulty.
Let's imagine that someone has a winning track, even among biathletes (i.e., it's easy for them, but due to illness, they missed it. Should they still get points?).
Added after 3 minutes
If there are only four players, then:
1st place - 1 point, and that's it.
If there are 10, then (10/3 = approximately 3):
1st place - 3 points
2nd place - 2 points
3rd place - 1 point
So, you start by awarding points from the bottom up.
If there are 18 players, use option 1.
2. Optimal.
You should be doing economic modeling.
Added after 3 hours 47 minutes
You can even add a dependency of the number of points on the number of players or the difficulty of the tournament.
This way, it will be easier for everyone