Is Elo linear?
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BadPlayerEasyToBeat
Feb 24, 2025
0
#1
Is Elo linear, like is a 800 is 2 times better than a 400, or a 1800 is 3 times better than a 600? And what I mean by better is if they played each other a lot and person A got 2 times the amount of points than person B, person A would be 2 times better.
Feb 24, 2025
0
#2
No, a logarithmic or arctan curve would be a better fit, though still not completely.
No. Elo is a ranking mechanism used to calculate winning chances.
A 100 point gap between you and your opponent at any elo realistically represents a 7 percent skill gap i.e. if you're rated 100 more than you're opponent, you'll win 7 more games out of 100 against them.
A 300 point point gap represents about a 35 percent skill gap.
At 500 elo difference, you should win 96 games out of 100 against your opponent. This counts for any level. That is, a 1600 opponent will lose around 96 games out of 100 against a 2100.
Feb 24, 2025
0
#6
Cause the numbers your using don’t seem to make sense linearly.
BadPlayerEasyToBeat wrote:
Is there a formula for this?
https://en.m.wikipedia.org/wiki/Elo_rating_system#Mathematical_details
Feb 24, 2025
0
#8
BadPlayerEasyToBeat wrote:
Log base what?
I don't know what the base would be but I'd imagine the skill would fit that general shape.
BadPlayerEasyToBeat wrote:
Cause the numbers your using don’t seem to make sense linearly.
The expected performance follows a logistic curve. It's not linear.
