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Informations about the package ers
ERS (EGF Rating System)
The rating algorithm was updated starting 2021. The whole database from back in 1996 was recalculated with this algorithm. You can find the old algorithm here.
- Ratings are updated by:
r' = r + con * (Sa - Se) + bonus ris the old EGD rating (GoR) of the playerr'is the new EGD rating of the playerSais the actual game result (1.0 = win, 0.5 = jigo, 0.0 = loss)Seis the expected game result as a winning probability (1.0 = 100%, 0.5 = 50%, 0.0 = 0%). See further below for its computation.conis a factor that determines rating volatility (similar to K in regular Elo rating systems):con = ((3300 - r) / 200) ^ 1.6bonus(not found in regular Elo rating systems) is a term included to counter rating deflation:bonus = ln(1 + exp((2300 - rating) / 80)) / 5Seis computed by the Bradley-Terry formula:Se = 1 / (1 + exp(β(r2) - β(r1)))r1is the EGD rating of the playerr2is the EGD rating of the opponentβis a mapping function for EGD ratings:β = -7 * ln(3300 - r)
Usage
Test
All versions of ers with dependencies
PHP Build Version
Package Version
Requires
php Version
>=7.0
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