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Player rating for tournaments across all installments of Heroes.

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#47
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AmberSoler;59986
You get ten points like this:
(x+20)/2=10, where x is an infinitesimally small value based on the first (non-linear) calculation method. Am I understanding your idea correctly? So, the point is that after he gets 10 points, they will be "increased" to 20, according to your suggestion. That is, all participants at the end of the long list will receive 20 points, regardless of how they performed...
You understood me correctly, but even 10 points is a lot for that player, and you are suggesting increasing them to 20.
AmberSoler;59986

Note: we can abandon this idea.
I'm not suggesting abandoning all ideas; I just want to draw attention to the fact that the game rating should reflect a player's skill relative to others, and you want to artificially equalize them so that no one gets upset. Grails were introduced so that no one would get upset.
AmberSoler;59986

I will rework the second formula so that all points start from zero, not from 20... There are no problems. It's all feasible. I just consciously want to introduce a minimum threshold "for participation"... That's the idea. If it doesn't work, then the formula will take on a strict form according to your comments, i.e., the last place in your exaggerated version will receive (0.1+0)/2=0.05 rating points. And then no one will want to participate in tournaments anymore... :)
So, give him 1000 grails so he doesn't get upset, BUT why should he have a rating of 20 or 10 if his actual skill level is only 0.05?
On the contrary, in the VDV tournaments, I try to separate the rating, which shows the current skill level. VDV gives everyone grails for oil and descriptions and for everything else, so there are no particularly upset players yet.