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Player rating for tournaments across all installments of Heroes.
That's for mathematicians, but this is mine. Remember, the VDV condition was simplicity; it suited me – I quickly derived the formula – one divided by the other, but I understood, and still understand, that it's not complete. I agree with your calculations. I think you'll bring it into a proper form, but if they ask me to calculate, I'll need a table in Excel from you, in case I can't manage it. I somehow crammed my simple formula in there.
No problem. We already have a rating for 26 players... Let's see what we can do with a real example, not a virtual one... Question: which scale do we use? 1-100 or 1-50? In essence, there's no difference; only 1-100 is more convenient and intuitive (psychologically more familiar and directly related to percentages). With 1-50, we'd have to enter decimal numbers after the comma, which I wouldn't like. I suggest 1-100. I don't think anyone will object...
I suggest transferring all three results from the normal difficulty without coefficients to the impossible difficulty. The save wasn't easier there. We've already figured that out.
And also, regarding the aging of the current rating. There are still many issues:
- what is the frequency of aging? - what is the proportion of adjustment – 1/3 is too much, in my opinion... let's make it 1/10... it will remove almost the entire rating of a non-playing participant in a year, but it won't be so painful for a missed tournament.