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The Elo rating system is widely adopted to evaluate the skills of (chess) game and sports players. Recently it has been also integrated into machine learning algorithms in evaluating the performance of computerised AI agents. However, an…

机器学习 · 计算机科学 2022-01-21 Xue Yan , Yali Du , Binxin Ru , Jun Wang , Haifeng Zhang , Xu Chen

It was recently observed that Elo ratings fail at preserving transitive relations among strategies and therefore cannot correctly extract the transitive component of a game. We provide a characterization of transitive games as a weak…

计算机科学与博弈论 · 计算机科学 2024-03-07 Nelson Vadori , Rahul Savani

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…

信息检索 · 计算机科学 2021-01-05 Aram Ebtekar , Paul Liu

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.…

计算与语言 · 计算机科学 2023-11-30 Meriem Boubdir , Edward Kim , Beyza Ermis , Sara Hooker , Marzieh Fadaee

Rating systems play a crucial role in evaluating player skill across competitive environments. The Elo rating system, originally designed for deterministic and information-complete games such as chess, has been widely adopted and modified…

计算机科学与博弈论 · 计算机科学 2025-12-23 Avirup Chakraborty , Shirsa Maitra , Tathagata Banerjee , Diganta Mukherjee , Tridib Mukherjee

We present a theoretical analysis of the Elo rating system, a popular method for ranking skills of players in an online setting. In particular, we study Elo under the Bradley--Terry--Luce model and, using techniques from Markov chain…

概率论 · 数学 2024-06-11 Sam Olesker-Taylor , Luca Zanetti

Competition is a primary driver of player satisfaction and engagement in multiplayer online games. Traditional matchmaking systems aim at creating matches involving teams of similar aggregated individual skill levels, such as Elo score or…

社会与信息网络 · 计算机科学 2020-06-25 Sofia M Nikolakaki , Ogheneovo Dibie , Ahmad Beirami , Nicholas Peterson , Navid Aghdaie , Kazi Zaman

Elo rating, widely used for skill assessment across diverse domains ranging from competitive games to large language models, is often understood as an incremental update algorithm for estimating a stationary Bradley-Terry (BT) model.…

机器学习 · 计算机科学 2025-02-18 Shange Tang , Yuanhao Wang , Chi Jin

Large language models perform surprisingly well on many zero-shot classification tasks, but are difficult to fairly compare to supervised classifiers due to the lack of a modifiable decision boundary. In this work, we propose and evaluate a…

计算与语言 · 计算机科学 2025-11-25 WonJin Yoon , Ian Bulovic , Timothy A. Miller

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,…

人机交互 · 计算机科学 2023-10-24 Yuhan Song

The meteoric rise of online games has created a need for accurate skill rating systems for tracking improvement and fair matchmaking. Although many skill rating systems are deployed, with various theoretical foundations, less work has been…

人工智能 · 计算机科学 2024-10-07 Mikel Bober-Irizar , Naunidh Dua , Max McGuinness

One of the main goals of online competitive games is increasing player engagement by ensuring fair matches. These games use rating systems for creating balanced match-ups. Rating systems leverage statistical estimation to rate players'…

人工智能 · 计算机科学 2021-06-23 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

Online competitive games have become increasingly popular. To ensure an exciting and competitive environment, these games routinely attempt to match players with similar skill levels. Matching players is often accomplished through a rating…

信息检索 · 计算机科学 2020-08-18 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

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…

机器学习 · 计算机科学 2015-03-17 Yannis Sismanis

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…

计算机科学与博弈论 · 计算机科学 2023-03-08 Quentin Bertrand , Wojciech Marian Czarnecki , Gauthier Gidel

Assessing the skill level of players to predict the outcome and to rank the players in a longer series of games is of critical importance for tournament play. Besides weaknesses, like an observed continuous inflation, through a steadily…

人工智能 · 计算机科学 2021-04-13 Stefan Edelkamp

Assessing and comparing player skill in online multiplayer gaming environments is essential for fair matchmaking and player engagement. Traditional ranking models like Elo and Glicko-2, designed for two-player games, are insufficient for…

人机交互 · 计算机科学 2024-01-12 Vivek Joshy

Rating strategies in a game is an important area of research in game theory and artificial intelligence, and can be applied to any real-world competitive or cooperative setting. Traditionally, only transitive dependencies between strategies…

计算机科学与博弈论 · 计算机科学 2022-10-06 Luke Marris , Marc Lanctot , Ian Gemp , Shayegan Omidshafiei , Stephen McAleer , Jerome Connor , Karl Tuyls , Thore Graepel

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…

统计方法学 · 统计学 2018-02-05 J. Scott Moreland , Matthew C. Superdock

The Elo rating system is a popular and widely adopted method for measuring the relative skill levels of players or teams in various sports and competitions. It assigns players numerical ratings and dynamically updates them based on game…

概率论 · 数学 2026-01-28 Roberto Cortez , Hagop Tossounian
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