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Patterns of wins and losses in pairwise contests, such as occur in sports and games, consumer research and paired comparison studies, and human and animal social hierarchies, are commonly analyzed using probabilistic models that allow one…

Physics and Society · Physics 2025-11-03 Maximilian Jerdee , M. E. J. Newman

Deducing whodunit proves challenging for LLM agents. In this paper, we implement a text-based multi-agent version of the classic board game Clue as a rule-based testbed for evaluating multi-step deductive reasoning, with six agents drawn…

Artificial Intelligence · Computer Science 2026-03-19 Rebecca Ansell , Autumn Toney-Wails

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

Real-world games, which concern imperfect information, multiple players, and simultaneous moves, are less frequently discussed in the existing literature of game theory. While reinforcement learning (RL) provides a general framework to…

Computer Science and Game Theory · Computer Science 2023-06-02 Runyu Lu , Yuanheng Zhu , Dongbin Zhao

As intelligent agents become more generally-capable, i.e. able to master a wide variety of tasks, the complexity and cost of properly evaluating them rises significantly. Tasks that assess specific capabilities of the agents can be…

Artificial Intelligence · Computer Science 2026-02-12 Marc Lanctot , Kate Larson , Ian Gemp , Michael Kaisers

We introduce LudoBench, a benchmark for evaluating LLM strategic reasoning in Ludo, a stochastic multi-agent board game whose dice mechanics, piece capture, safe-square navigation, and home-path progression introduce meaningful planning…

Artificial Intelligence · Computer Science 2026-04-08 Ojas Jain , Dhruv Kumar

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

League of Legends (LoL) is the most widely played multiplayer online battle arena (MOBA) game in the world. An important aspect of LoL is competitive ranked play, which utilizes a skill-based matchmaking system to form fair teams. However,…

Machine Learning · Computer Science 2021-08-09 Tiffany D. Do , Seong Ioi Wang , Dylan S. Yu , Matthew G. McMillian , Ryan P. McMahan

Machine intelligence marks the ultimate dream of making machines' intelligence comparable to human beings. While recent progress in Large Language Models (LLMs) show substantial specific skills for a wide array of downstream tasks, they…

Artificial Intelligence · Computer Science 2025-12-08 Zeyuan Ma , Wenqi Huang , Guo-Huan Song , Hongshu Guo , Sijie Ma , Zhiguang Cao , Yue-Jiao Gong

State-of-the-art reinforcement learning (RL) algorithms typically use random sampling (e.g., $\epsilon$-greedy) for exploration, but this method fails on hard exploration tasks like Montezuma's Revenge. To address the challenge of…

Machine Learning · Computer Science 2022-11-21 Eric Chen , Zhang-Wei Hong , Joni Pajarinen , Pulkit Agrawal

Proxy optimization, where AI systems exploit evaluator weaknesses rather than improve intended objectives, threatens both reinforcement learning (reward hacking) and LLM alignment (evaluator gaming). We introduce the Evaluator Stress Test…

Machine Learning · Computer Science 2026-01-06 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

Autonomous systems can substantially enhance a human's efficiency and effectiveness in complex environments. Machines, however, are often unable to observe the preferences of the humans that they serve. Despite the fact that the human's and…

Machine Learning · Statistics 2017-05-29 Agostino Capponi , Reza Ghanadan , Matt Stern

Cooperation, fairness, trust, and resource coordination are cornerstones of modern civilization, yet their emergence remains inadequately explained by the persistent discrepancies between theoretical predictions and behavioral experiments.…

Populations and Evolution · Quantitative Biology 2026-05-21 Guozhong Zheng , Xin Ou , Shengfeng Deng , Jiqiang Zhang , Li Chen

Reinforcement learning (RL) algorithms aim to learn optimal decisions in unknown environments through experience of taking actions and observing the rewards gained. In some cases, the environment is not influenced by the actions of the RL…

Large Language Models (LLMs) have demonstrated superior performance in language understanding benchmarks. CALM, a popular approach, leverages linguistic priors of LLMs -- GPT-2 -- for action candidate recommendations to improve the…

Computation and Language · Computer Science 2023-11-15 Arjun Vaithilingam Sudhakar , Prasanna Parthasarathi , Janarthanan Rajendran , Sarath Chandar

Reasoning is not just about solving problems -- it is also about evaluating which problems are worth solving at all. Evaluations of artificial intelligence (AI) systems primarily focused on problem solving, historically by studying how…

This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently…

Artificial Intelligence · Computer Science 2025-10-07 Gon Buzaglo , Noah Golowich , Elad Hazan

With AlphaGo defeats top human players, reinforcement learning(RL) algorithms have gradually become the code-base of building stronger artificial intelligence(AI). The RL algorithm design firstly needs to adapt to the specific environment,…

Playing games has a long history of describing intricate interactions in simplified forms. In this paper we explore if large language models (LLMs) can play games, investigating their capabilities for randomisation and strategic adaptation…

Artificial Intelligence · Computer Science 2025-03-05 Alicia Vidler , Toby Walsh

The 13-card variant of Classic Indian Rummy is a sequential game of incomplete information that requires probabilistic reasoning and combinatorial decision-making. This paper proposes a rule-based framework for strategic play, driven by a…

Artificial Intelligence · Computer Science 2026-01-05 Purushottam Saha , Avirup Chakraborty , Sourish Sarkar , Subhamoy Maitra , Diganta Mukherjee , Tridib Mukherjee
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