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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

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…

Computer Science and Game Theory · Computer Science 2023-03-08 Quentin Bertrand , Wojciech Marian Czarnecki , Gauthier Gidel

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

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

Arena-based evaluation is a fundamental yet significant evaluation paradigm for modern AI models, especially large language models (LLMs). Existing framework based on ELO rating system suffers from the inevitable instability problem due to…

Artificial Intelligence · Computer Science 2025-05-30 Zirui Liu , Jiatong Li , Yan Zhuang , Qi Liu , Shuanghong Shen , Jie Ouyang , Mingyue Cheng , Shijin Wang

Large language models (LLM) have shown remarkable abilities in text generation, question answering, language translation, reasoning and many other tasks. It continues to advance rapidly and is becoming increasingly influential in various…

Artificial Intelligence · Computer Science 2025-01-31 Yinqi Zhang , Xintian Han , Haolong Li , Kedi Chen , Shaohui Lin

Large language models (LLMs) are increasingly used as evaluators for natural language generation, applying human-defined rubrics to assess system outputs. However, human rubrics are often static and misaligned with how models internally…

Computation and Language · Computer Science 2026-02-10 Clemencia Siro , Pourya Aliannejadi , Mohammad Aliannejadi

Adversarial board games, as a paradigmatic domain of strategic reasoning and intelligence, have long served as both a popular competitive activity and a benchmark for evaluating artificial intelligence (AI) systems. Building on this…

Artificial Intelligence · Computer Science 2025-08-08 Yingjie Zhou , Jiezhang Cao , Farong Wen , Li Xu , Yanwei Jiang , Jun Jia , Ronghui Li , Xiaohong Liu , Yu Zhou , Xiongkuo Min , Jie Guo , Zicheng Zhang , Guangtao Zhai

Human evaluation is indispensable and inevitable for assessing the quality of texts generated by machine learning models or written by humans. However, human evaluation is very difficult to reproduce and its quality is notoriously unstable,…

Computation and Language · Computer Science 2023-05-04 Cheng-Han Chiang , Hung-yi Lee

Large language models (LLMs) are gaining increasing popularity in both academia and industry, owing to their unprecedented performance in various applications. As LLMs continue to play a vital role in both research and daily use, their…

Computation and Language · Computer Science 2024-01-01 Yupeng Chang , Xu Wang , Jindong Wang , Yuan Wu , Linyi Yang , Kaijie Zhu , Hao Chen , Xiaoyuan Yi , Cunxiang Wang , Yidong Wang , Wei Ye , Yue Zhang , Yi Chang , Philip S. Yu , Qiang Yang , Xing Xie

The Elo rating system has been used world wide for individual sports and team sports, as exemplified by the European Go Federation (EGF), International Chess Federation (FIDE), International Federation of Association Football (FIFA), and…

Artificial Intelligence · Computer Science 2021-05-04 Ben Wise

The zero-shot capability of Large Language Models (LLMs) has enabled highly flexible, reference-free metrics for various tasks, making LLM evaluators common tools in NLP. However, the robustness of these LLM evaluators remains relatively…

Computation and Language · Computer Science 2024-05-06 Rickard Stureborg , Dimitris Alikaniotis , Yoshi Suhara

As Large Language Models (LLMs) continue to evolve, evaluating them remains a persistent challenge. Many recent evaluations use LLMs as judges to score outputs from other LLMs, often relying on a single large model like GPT-4o. However,…

Computation and Language · Computer Science 2025-03-20 Justin Zhao , Flor Miriam Plaza-del-Arco , Benjamin Genchel , Amanda Cercas Curry

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 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

ELO rating system is proposed by Arpad Elo, a Hungarian-American physics professor. Originally, it was proposed for the ranking system of chess players, but it was soon adapted to many other zero-sum sports fields like football, baseball,…

Human-Computer Interaction · Computer Science 2023-10-24 Yuhan Song

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

We suggest an improvement of the Elo rating system. Whereas Elo's theoretical background remains unaffected, we significantly change the way in which rating values are adjusted. It turns out that the modified system behaves much more…

Classical Analysis and ODEs · Mathematics 2018-01-17 Fabian Langholf

In arena-style evaluation of large language models (LLMs), two LLMs respond to a user query, and the user chooses the winning response or deems the "battle" a draw, resulting in an adjustment to the ratings of both models. The prevailing…

Computation and Language · Computer Science 2025-10-03 Raphael Tang , Crystina Zhang , Wenyan Li , Carmen Lai , Pontus Stenetorp , Yao Lu

Current alignment methods for Large Language Models (LLMs) rely on compressing vast amounts of human preference data into static, absolute reward functions, leading to data scarcity, noise sensitivity, and training instability. We introduce…

Computation and Language · Computer Science 2026-03-03 Jing Zhao , Ting Zhen , Junwei Bao , Hongfei Jiang , Yang Song