IronAxe
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That's all.
Let's discuss... :)
Example calculation for the "Best of the Best" tournament.
I don't understand what formula is used for the third option?
The results from the first two options are added together for each player, and then divided by 2. Then the third option seems to work.
The second option doesn't work at all, because it doesn't take into account the number of DAYS spent completing the map. That is, if one strong player happens to be on one of the stages and completes it in 1 day (exaggerating), and everyone else takes 1000 days to complete, then they will not be given points based on the number of days, but rather the 2nd and 3rd prize places! This is unacceptable!
And if a highly exaggerated situation occurs, will the oscillator help?
The first option is reliable.
The second option is unacceptable.
The third option is good, but we still need to calculate exaggerated situations from two stages, where on one of them everyone plays much worse than the leader of that stage.
Here's a silly example, but still:
stage for the Firsts - 2 participants:
1st player - 1 day
2nd player - 1000 days
option 1
1st player - 100 points
2nd player - 100*1/1000 = 0.1 !!! And this is fair !!!
But the 2nd player gets -> 20 points.
option 2
1st player 100-80/(2-1)*(1-1)= 100 points
2nd player 100-80/(2-1)*(2-1)= 20 points
option 3
1st player - (100+100)/2 = 100
2nd player - (20+20)/2 = 20 He didn't even earn a single point!
Stage for the Seconds - 5 participants (example AmberaSolera):
1st option:
1. 8 days - 100 points
2. 11 days - 100*8/11=73 points
3. 32 days - 100*8/32=25 points
4. 48 days - 100*8/48=17 points=20 points (minimum for a game)
5. 63 days - 100*8/63=13 points=20 points (minimum for a game)
2nd option:
1. 8 days - 100 points
2. 11 days - 100-80/(N-1)*(R-1)=80 points
3. 32 days - 100-80/(N-1)*(R-1)=60 points
4. 48 days - 100-80/(N-1)*(R-1)=40 points
5. 63 days - 100-80/(N-1)*(R-1)=20 points
3rd option:
1. 100
2. 76.5
3. 42.5
4. 30
5. 20
Conclusion: A player from the first stage, who is 1000 times behind the leader of his stage, has the same PURE GAME RATING as a player from the fifth place of the second stage, who is only 8 times behind the leader of his stage (8*8=64 -> approximately 63). Is this correct?
An exaggerated situation will show where the problems lie :) My system is not threatened by such a discrepancy, even theoretically. Aging can be excluded for this tournament. I'm just talking about the overall rating on this resource. But it seems that the rating of the Kanighem tournament cannot be combined with the rating of the VDV tournaments, which I will be calculating. Although I think it could be combined somehow if the players agreed to age the rating at a certain time in both.