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Related papers: The self-justifying Elo rating system

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The Elo rating system is a highly successful ranking algorithm for games of skill where, by construction, one team wins and the other loses. A primary limitation of the original Elo algorithm is its inability to predict information beyond a…

Methodology · Statistics 2018-02-05 J. Scott Moreland , Matthew C. Superdock

In Natural Language Processing (NLP), the Elo rating system, originally designed for ranking players in dynamic games such as chess, is increasingly being used to evaluate Large Language Models (LLMs) through "A vs B" paired comparisons.…

Computation and Language · Computer Science 2023-11-30 Meriem Boubdir , Edward Kim , Beyza Ermis , Sara Hooker , Marzieh Fadaee

This paper introduces a score-driven rating system, a generalization of the classical Elo rating system that employs the score, i.e. the gradient of the log-likelihood, as the updating mechanism for player and team ratings. The proposed…

Machine Learning · Computer Science 2026-04-13 Vladimír Holý , Michal Černý

The Elo rating system has been recognised as an effective method for modelling students and items within adaptive educational systems. The existing Elo-based models have the limiting assumption that items are only tagged with a single…

Computers and Society · Computer Science 2019-10-29 Solmaz Abdi , Hassan Khosravi , Shazia Sadiq , Dragan Gasevic

This work is concerned with the rating of players/teams in face-to-face games with three possible outcomes: loss, win, and draw. This is one of the fundamental problems in sport analytics, where the very simple and popular, non-trivial…

Statistics Theory · Mathematics 2019-10-15 Leszek Szczecinski , Aymen Djebbi

As large language models (LLMs) continue to advance, accurately and comprehensively evaluating their performance becomes increasingly challenging. Ranking the relative performance of LLMs based on Elo ratings, according to human judgment,…

Computation and Language · Computer Science 2023-11-14 Minghao Wu , Alham Fikri Aji

This paper studies how the Elo rating system behaves when the underlying modelling assumptions are not met.

Probability · Mathematics 2024-12-20 Adam H. Hamilton , Matthew Roughan , Anna Kalenkova

This article discusses in detail the rating system that won the kaggle competition "Chess Ratings: Elo vs the rest of the world". The competition provided a historical dataset of outcomes for chess games, and aimed to discover whether novel…

Machine Learning · Computer Science 2015-03-17 Yannis Sismanis

The Elo algorithm, renowned for its simplicity, is widely used for rating in sports tournaments and other applications. However, despite its widespread use, a detailed understanding of the convergence characteristics of the Elo algorithm is…

Machine Learning · Computer Science 2023-11-28 Daniel Gomes de Pinho Zanco , Leszek Szczecinski , Eduardo Vinicius Kuhn , Rui Seara

This study aims to provide a data-driven approach for empirically tuning and validating rating systems, focusing on the Elo system. Well-known rating frameworks, such as Elo, Glicko, TrueSkill systems, rely on parameters that are usually…

Applications · Statistics 2025-12-23 Shirsa Maitra , Tathagata Banerjee , Anushka De , Diganta Mukherjee , Tridib Mukherjee

The Elo rating system, which was originally proposed by Arpad Elo for chess, has become one of the most important rating systems in sports, economics and gaming nowadays. Its original formulation is based on two-player zero-sum games, but…

Optimization and Control · Mathematics 2022-04-12 Düring Bertram , Fischer Michael , Wolfram Marie-Therese

Rating systems play an important role in competitive sports and games. They provide a measure of player skill, which incentivizes competitive performances and enables balanced match-ups. In this paper, we present a novel Bayesian rating…

Information Retrieval · Computer Science 2021-01-05 Aram Ebtekar , Paul Liu

Many environments assign several Elo ratings to the same agent: a chess player has classical, rapid, and blitz ratings; an online platform may rate by time control, mode, or format; an evaluator may rate performance across tasks or roles.…

Theoretical Economics · Economics 2026-05-12 Mehmet Mars Seven

Accurate estimation of question difficulty and prediction of student performance play key roles in optimizing educational instruction and enhancing learning outcomes within digital learning platforms. The Elo rating system is widely…

Computers and Society · Computer Science 2024-03-14 Erva Nihan Kandemir , Jill-Jenn Vie , Adam Sanchez-Ayte , Olivier Palombi , Franck Ramus

New large language models (LLMs) are being released every day. Some perform significantly better or worse than expected given their parameter count. Therefore, there is a need for a method to independently evaluate models. The current best…

Artificial Intelligence · Computer Science 2025-09-30 Ashwin Ramaswamy , Nestor Demeure , Ermal Rrapaj

The Elo system for rating chess players, also used in other games and sports, was adopted by the World Chess Federation over four decades ago. Although not without controversy, it is accepted as generally reliable and provides a method for…

Physics and Society · Physics 2011-03-31 Trevor Fenner , Mark Levene , George Loizou

This paper presents an original model for assessing scientific productivity, research power ranking, RPR, which is based on the adaptation of the Elo rating system to the context of scientific activity. Unlike traditional scientometric…

Physics and Society · Physics 2025-04-30 Eldar Knar

This paper presents an Elo-based rating system for programming contests, specifically Topcoder's Single Round Matches (SRMs). We introduce a logarithmic rank-based performance metric that allows single-round, multi-player contest results to…

Multiagent Systems · Computer Science 2026-02-24 Fred Batty

When users rate objects, a sophisticated algorithm that takes into account ability or reputation may produce a fairer or more accurate aggregation of ratings than the straightforward arithmetic average. Recently a number of authors have…

Information Retrieval · Computer Science 2015-03-13 Matus Medo , Joseph Rushton Wakeling

Elo rating systems measure the approximate skill of each competitor in a game or sport. A competitor's rating increases when they win and decreases when they lose. Increasing one's rating can be difficult work; one must hone their skills…

Combinatorics · Mathematics 2024-04-16 Rikhav Shah
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