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On the Limitations of Elo: Real-World Games, are Transitive, not Additive. (arXiv:2206.12301v2 [cs.GT] UPDATED)
July 15, 2022, 1:11 a.m. | Quentin Bertrand, Wojciech Marian Czarnecki, Gauthier Gidel
cs.LG updates on arXiv.org arxiv.org
Real-world competitive games, such as chess, go, or StarCraft II, rely on Elo
models to measure the strength of their players. Since these games are not
fully transitive, using Elo implicitly assumes they have a strong transitive
component that can correctly be identified and extracted. In this study, we
investigate the challenge of identifying the strength of the transitive
component in games. First, we show that Elo models can fail to extract this
transitive component, even in elementary transitive games. …
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