Elo ratings in intransitive games are unique for a given schedule but shift with the schedule, so they cannot represent a single transitive skill scale.
(2021): How to extend E lo: a B ayesian perspective
3 Pith papers cite this work, alongside 13 external citations. Polarity classification is still indexing.
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A generalization of Elo ratings updates player strengths via the score (log-likelihood gradient) for varied game outcomes, with derived properties of zero expected value, summation to zero, and reversion to unobserved true skills.
Elo's heuristic and MLE perspectives coincide for binary logistic cases but demand closed-form noise corrections to scale and home-field parameters for accurate prediction, outperforming the standard approach and showing non-convergence in FIFA rankings.
citing papers explorer
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Elo Ratings in the Presence of Intransitivity
Elo ratings in intransitive games are unique for a given schedule but shift with the schedule, so they cannot represent a single transitive skill scale.
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Score-Driven Rating System for Sports
A generalization of Elo ratings updates player strengths via the score (log-likelihood gradient) for varied game outcomes, with derived properties of zero expected value, summation to zero, and reversion to unobserved true skills.
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New insights into Elo algorithm for practitioners and statisticians
Elo's heuristic and MLE perspectives coincide for binary logistic cases but demand closed-form noise corrections to scale and home-field parameters for accurate prediction, outperforming the standard approach and showing non-convergence in FIFA rankings.