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PR of players and probability of winning (Question for those mathematically interested)

Posted By: David Startin
Date: Thursday, 1 December 2011, at 2:25 p.m.

In Response To: PR of players and probability of winning (Question for those mathematically interested) (Max Levenstein)

From Snowie help:

For information, the ELO formula is as follows:

Say the rating of the better player is r1 and the rating of his opponent is r2. The probability that the higher ranked player wins (let us call this number P_F) can be computed by

P_F = 1 - 1/(10^(D*SQRT(n)/2000)+1)

where

n = the length of the match D = absolute value of the current rating difference between both players = ABS(r1-r2)

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