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We explore a class of stochastic multiplayer games where each player in the game aims to optimize its objective under uncertainty and adheres to some expectation constraints. The study employs an offline learning paradigm, leveraging a…

Optimization and Control · Mathematics 2025-09-09 Yuanhanqing Huang , Jianghai Hu

Large language models (LLMs) have demonstrated the potential to mimic human social intelligence. However, most studies focus on simplistic and static self-report or performance-based tests, which limits the depth and validity of the…

Artificial Intelligence · Computer Science 2024-11-05 Ziyi Liu , Abhishek Anand , Pei Zhou , Jen-tse Huang , Jieyu Zhao

Open-world survival games pose significant challenges for AI algorithms due to their multi-tasking, deep exploration, and goal prioritization requirements. Despite reinforcement learning (RL) being popular for solving games, its high sample…

Artificial Intelligence · Computer Science 2023-12-13 Yue Wu , Shrimai Prabhumoye , So Yeon Min , Yonatan Bisk , Ruslan Salakhutdinov , Amos Azaria , Tom Mitchell , Yuanzhi Li

We introduce the framework of LLM-Stackelberg games, a class of sequential decision-making models that integrate large language models (LLMs) into strategic interactions between a leader and a follower. Departing from classical Stackelberg…

Artificial Intelligence · Computer Science 2025-07-15 Quanyan Zhu

We develop an equilibrium framework that relaxes the standard assumption that people have a correctly-specified view of their environment. Each player is characterized by a (possibly misspecified) subjective model, which describes the set…

Economics · Quantitative Finance 2019-11-22 Ignacio Esponda , Demian Pouzo

Children learn though play. We introduce the analogous idea of learning programs through play. In this approach, a program induction system (the learner) is given a set of tasks and initial background knowledge. Before solving the tasks,…

Machine Learning · Computer Science 2019-05-21 Andrew Cropper

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik

While reinforcement learning (RL) for large language models (LLMs) has shown promise in mathematical reasoning, strategic reasoning for LLMs using RL remains largely unexplored. We investigate whether LLMs can develop strategic reasoning…

Artificial Intelligence · Computer Science 2025-08-29 Dongyoon Hwang , Hojoon Lee , Jaegul Choo , Dongmin Park , Jongho Park

As Large Language Models (LLMs) are increasingly applied in high-stakes domains, their ability to reason strategically under uncertainty becomes critical. Poker provides a rigorous testbed, requiring not only strong actions but also…

Artificial Intelligence · Computer Science 2026-02-03 Minhua Lin , Enyan Dai , Hui Liu , Xianfeng Tang , Yuliang Yan , Zhenwei Dai , Jingying Zeng , Zhiwei Zhang , Fali Wang , Hongcheng Gao , Chen Luo , Xiang Zhang , Qi He , Suhang Wang

Evaluation has traditionally focused on ranking candidates for a specific skill. Modern generalist models, such as Large Language Models (LLMs), decidedly outpace this paradigm. Open-ended evaluation systems, where candidate models are…

Computer Science and Game Theory · Computer Science 2025-05-09 Siqi Liu , Ian Gemp , Luke Marris , Georgios Piliouras , Nicolas Heess , Marc Lanctot

We introduce an approach for deep reinforcement learning (RL) that improves upon the efficiency, generalization capacity, and interpretability of conventional approaches through structured perception and relational reasoning. It uses…

Current LLM post-training methods optimize complete reasoning trajectories through Supervised Fine-Tuning (SFT) followed by outcome-based Reinforcement Learning (RL). While effective, a closer examination reveals a fundamental gap: this…

Artificial Intelligence · Computer Science 2026-05-29 Shaojie Wang , Liang Zhang

Designing human-centered AI-driven applications require deep understandings of how people develop mental models of AI. Currently, we have little knowledge of this process and limited tools to study it. This paper presents the position that…

Human-Computer Interaction · Computer Science 2021-03-31 Jennifer Villareale , Jichen Zhu

Driven by recent successes in two-player, zero-sum game solving and playing, artificial intelligence work on games has increasingly focused on algorithms that produce equilibrium-based strategies. However, this approach has been less…

Computer Science and Game Theory · Computer Science 2022-06-24 Dustin Morrill , Ryan D'Orazio , Reca Sarfati , Marc Lanctot , James R. Wright , Amy Greenwald , Michael Bowling

Large Language Models (LLMs) excel in natural language tasks but still face challenges in Question Answering (QA) tasks requiring complex, multi-step reasoning. We outline the types of reasoning required in some of these tasks, and reframe…

Computation and Language · Computer Science 2025-02-17 Nick Ferguson , Liane Guillou , Alan Bundy , Kwabena Nuamah

Variations of the Flip-It game have been applied to model network cyber operations. While Flip-It can accurately express uncertainty and loss of control, it imposes no essential resource constraints for operations. Capture the flag (CTF)…

Cryptography and Security · Computer Science 2024-03-19 Jon Goohs , Georgel Savin , Lucas Starks , Josiah Dykstra , William Casey

Ideal or real - that is the question.In this work, we explore whether principles from game theory can be effectively applied to the evaluation of large language models (LLMs). This inquiry is motivated by the growing inadequacy of…

Computation and Language · Computer Science 2026-04-07 Gao Yang , Yuhang Liu , Siyu Miao , Xinyue Liang , Zhengyang Liu , Heyan Huang

We study variants of regular infinite games where the strict alternation of moves between the two players is subject to modifications. The second player may postpone a move for a finite number of steps, or, in other words, exploit in his…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Michael Holtmann , Lukasz Kaiser , Wolfgang Thomas

We introduce a new hypothesis testing-based learning dynamics in which players update their strategies by combining hypothesis testing with utility-driven exploration. In this dynamics, each player forms beliefs about opponents' strategies…

Computer Science and Game Theory · Computer Science 2025-08-01 Ruifan Yang , Manxi Wu

Recently, text world games have been proposed to enable artificial agents to understand and reason about real-world scenarios. These text-based games are challenging for artificial agents, as it requires an understanding of and interaction…

Computation and Language · Computer Science 2021-12-24 Ishika Singh , Gargi Singh , Ashutosh Modi
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