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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

In this work we develop a new algorithm for rating of teams (or players) in one-on-one games by exploiting the observed difference of the game-points (such as goals), also known as a margin of victory (MOV). Our objective is to obtain the…

Methodology · Statistics 2022-02-09 Leszek Szczecinski

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

Competitor rating systems for head-to-head games are typically used to measure playing strength from game outcomes. Ratings computed from these systems are often used to select top competitors for elite events, for pairing players of…

Methodology · Statistics 2025-07-14 Mark E. Glickman

Scalable oversight, the process by which weaker AI systems supervise stronger ones, has been proposed as a key strategy to control future superintelligent systems. However, it is still unclear how scalable oversight itself scales. To…

Artificial Intelligence · Computer Science 2025-10-28 Joshua Engels , David D. Baek , Subhash Kantamneni , Max Tegmark

Marking and feedback are essential features of teaching and learning, across the overwhelming majority of educational settings and contexts. However, it can take a great deal of time and effort for teachers to mark assessments, and to…

Human-Computer Interaction · Computer Science 2022-04-06 Andy Gray , Alma Rahat , Tom Crick , Stephen Lindsay , Darren Wallace

Deciding which large language model (LLM) to use is a complex challenge. Pairwise ranking has emerged as a new method for evaluating human preferences for LLMs. This approach entails humans evaluating pairs of model outputs based on a…

Computation and Language · Computer Science 2025-02-18 Roland Daynauth , Christopher Clarke , Krisztian Flautner , Lingjia Tang , Jason Mars

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…

Computation and Language · Computer Science 2025-11-25 WonJin Yoon , Ian Bulovic , Timothy A. Miller

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

Training large language model (LLM) agents for adversarial games is often driven by episodic objectives such as win rate. In long-horizon settings, however, payoffs are shaped by latent strategic externalities that evolve over time, so…

Machine Learning · Computer Science 2026-02-10 Boyang Xia , Weiyou Tian , Qingnan Ren , Jiaqi Huang , Jie Xiao , Shuo Lu , Kai Wang , Lynn Ai , Eric Yang , Bill Shi

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

Games often incorporate random elements in the form of dice or shuffled card decks. This randomness is a key contributor to the player experience and the variety of game situations encountered. There is a tension between a level of…

Artificial Intelligence · Computer Science 2025-03-05 James Goodman , Diego Perez-Liebana , Simon Lucas

We introduce a quantitative framework for separating skill and chance in games by modeling them as complementary sources of control over stochastic decision trees. We define the Skill-Luck Index S(G) in [-1, 1] by decomposing game outcomes…

Artificial Intelligence · Computer Science 2025-11-18 David H. Silver

Strategic randomization is a key principle in game theory, yet it remains underexplored in large language models (LLMs). Prior work often conflates the cognitive decision to randomize with the mechanical generation of randomness, leading to…

Artificial Intelligence · Computer Science 2025-06-25 Lingyu Yang

Multi-turn, multi-agent LLM game evaluations often exhibit substantial run-to-run variance. In long-horizon interactions, small early deviations compound across turns and are amplified by multi-agent coupling. This biases win rate estimates…

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

When a prediction algorithm serves a collection of users, disparities in prediction quality are likely to emerge. If users respond to accurate predictions by increasing engagement, inviting friends, or adopting trends, repeated learning…

Machine Learning · Computer Science 2025-11-27 Eden Saig , Nir Rosenfeld

We introduce a novel system of matching and scoring players in tournaments, called Multi-Tier Tournaments, illustrated by chess and based on the following rules: 1. Players are divided into skill-based tiers, based on their Elo ratings. 2.…

Theoretical Economics · Economics 2024-07-22 Steven J. Brams , Mehmet S. Ismail

Competitive online games use rating systems for matchmaking; progression-based algorithms that estimate the skill level of players with interpretable ratings in terms of the outcome of the games they played. However, the overall experience…

Machine Learning · Computer Science 2022-07-04 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

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