Explain the higher estimated rating-noise σ0 in Antichess versus standard chess

Determine the causes of the observed higher estimated measurement-error standard deviation (σ0=67) for Glicko‑2 rating differences in Antichess compared to standard chess (σ0≈58) under the SIMEX calibration, investigating whether variant-specific rating behavior, dataset composition, or rating-system changes account for the increase.

Background

Under the same SIMEX framework, Antichess produces σ0=67, exceeding the ≈58 estimated for standard chess.

The authors explicitly note that the reason for Antichess’s higher σ0 is unclear, highlighting a need to understand variant-specific rating dynamics or methodological differences.

References

This we estimate as σ0=67. It is not clear why this is higher than the value found for standard chess.

Inferring Piece Value in Chess and Chess Variants  (2509.04691 - Pav, 4 Sep 2025) in Antichess, Section Results