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Rating system for online games in Heroes of Might and Magic IV.
Yes, it seems correct that the rating should be 0 for everyone at the start. I've already corrected this in the table.
So, let's think this through to the end. The formula looks like this:
Rnew=2/3Rold+1000((N-i)/(N-1)+((N-i)(N-1))^3)(1+SumRold/6000) and divide by 1000 or 100 or 10 to avoid a very large number, and (+ kGw-k1Gl), where k and k1 are coefficients that will depend on the rating. If the rating is low, say up to 500, then k will be 3, and k1 = 1. If the rating is from 500 to 1500, then k = 1.5, k1 = 2, and if the rating is from 1500 to 3000, then k = 0.75, k1 = 3. If it's too small, it can be further divided into gradations. (THIS IS JUST MY EXAMPLE)
What are your thoughts?