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This paper considers a class of noncooperative games in which the feasible decision sets of all players are coupled together by a coupled inequality constraint. Adopting the variational inequality formulation of the game, we first introduce…

Computer Science and Game Theory · Computer Science 2024-02-13 Huaqing Li , Liang Ran , Lifeng Zheng , Zhe Li , Jinhui Hu , Jun Li , Tingwen Huang

Modern large language models (LLMs) are optimized for human-aligned responses using Reinforcement Learning from Human Feedback (RLHF). However, existing RLHF approaches assume a universal preference model and fail to account for individual…

Machine Learning · Computer Science 2025-03-11 Idan Shenfeld , Felix Faltings , Pulkit Agrawal , Aldo Pacchiano

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

Large Language Models (LLMs), when used in educational settings without pedagogical fine-tuning, often provide immediate answers rather than guiding students through the problem-solving process. This approach falls short of pedagogically…

Computation and Language · Computer Science 2024-10-08 Shashank Sonkar , Kangqi Ni , Sapana Chaudhary , Richard G. Baraniuk

Recent advances in test-time alignment methods, such as Best-of-N sampling, offer a simple and effective way to steer language models (LMs) toward preferred behaviors using reward models (RM). However, these approaches can be…

Computation and Language · Computer Science 2026-03-16 Vinod Raman , Hilal Asi , Satyen Kale

In current model-free reinforcement learning (RL) algorithms, stability criteria based on sampling methods are commonly utilized to guide policy optimization. However, these criteria only guarantee the infinite-time convergence of the…

Robotics · Computer Science 2023-10-16 Shengjie Wang , Fengbo Lan , Xiang Zheng , Yuxue Cao , Oluwatosin Oseni , Haotian Xu , Tao Zhang , Yang Gao

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

Computer Science and Game Theory · Computer Science 2024-08-16 S. Rasoul Etesami , R. Srikant

We study the problem of computing an optimal large language model (LLM) policy for the constrained alignment problem, where the goal is to maximize a primary reward objective while satisfying constraints on secondary utilities. Despite the…

Machine Learning · Computer Science 2025-11-27 Botong Zhang , Shuo Li , Ignacio Hounie , Osbert Bastani , Dongsheng Ding , Alejandro Ribeiro

Self-play methods have demonstrated remarkable success in enhancing model capabilities across various domains. In the context of Reinforcement Learning from Human Feedback (RLHF), self-play not only boosts Large Language Model (LLM)…

Computation and Language · Computer Science 2025-04-22 Mingzhi Wang , Chengdong Ma , Qizhi Chen , Linjian Meng , Yang Han , Jiancong Xiao , Zhaowei Zhang , Jing Huo , Weijie J. Su , Yaodong Yang

User simulators are essential to conversational AI, enabling scalable agent development and evaluation through simulated interactions. While current Large Language Models (LLMs) have advanced user simulation capabilities, we reveal that…

Computation and Language · Computer Science 2026-03-10 Shuhaib Mehri , Xiaocheng Yang , Takyoung Kim , Gokhan Tur , Shikib Mehri , Dilek Hakkani-Tür

Behavioral diversity, expert imitation, fairness, safety goals and others give rise to preferences in sequential decision making domains that do not decompose additively across time. We introduce the class of convex Markov games that allow…

Computer Science and Game Theory · Computer Science 2025-06-17 Ian Gemp , Andreas Haupt , Luke Marris , Siqi Liu , Georgios Piliouras

Federated learning enables training on a massive number of edge devices. To improve flexibility and scalability, we propose a new asynchronous federated optimization algorithm. We prove that the proposed approach has near-linear convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-08 Cong Xie , Sanmi Koyejo , Indranil Gupta

Aligning large language models (LLMs) to human values has become increasingly important as it enables sophisticated steering of LLMs. However, it requires significant human demonstrations and feedback or distillation from proprietary LLMs…

Computation and Language · Computer Science 2023-10-24 Sungdong Kim , Sanghwan Bae , Jamin Shin , Soyoung Kang , Donghyun Kwak , Kang Min Yoo , Minjoon Seo

As evaluation designs of large language models may shape our trajectory toward artificial general intelligence, comprehensive and forward-looking assessment is essential. Existing benchmarks primarily assess static knowledge, while…

Computation and Language · Computer Science 2025-08-07 Jiayin Wang , Zhiquang Guo , Weizhi Ma , Min Zhang

Nash equilibrium is a central concept in game theory. Several Nash solvers exist, yet none scale to normal-form games with many actions and many players, especially those with payoff tensors too big to be stored in memory. In this work, we…

Computer Science and Game Theory · Computer Science 2022-02-07 Ian Gemp , Rahul Savani , Marc Lanctot , Yoram Bachrach , Thomas Anthony , Richard Everett , Andrea Tacchetti , Tom Eccles , János Kramár

Aligning large language models to human preferences is inherently multidimensional, yet most pipelines collapse heterogeneous signals into a single optimizeable objective. We seek to answer what it would take to simultaneously align a model…

Machine Learning · Computer Science 2025-10-02 Yiran Shen , Yu Xia , Jonathan Chang , Prithviraj Ammanabrolu

A central task of artificial intelligence is the design of artificial agents that act towards specified goals in partially observed environments. Since such environments frequently include interaction over time with other agents with their…

Computer Science and Game Theory · Computer Science 2012-05-14 Miroslav Dudik , Geoffrey Gordon

Safety and trustworthiness are indispensable requirements for real-world applications of AI systems using large language models (LLMs). This paper formulates human value alignment as an optimization problem of the language model policy to…

Machine Learning · Computer Science 2024-10-22 Akifumi Wachi , Thien Q. Tran , Rei Sato , Takumi Tanabe , Youhei Akimoto

Ensuring that large language models (LLMs) comply with safety requirements is a central challenge in AI deployment. Existing alignment approaches primarily operate during training, such as through fine-tuning or reinforcement learning from…

Machine Learning · Computer Science 2025-12-03 Tuan Nguyen , Long Tran-Thanh

Large Language Models (LLMs) have demonstrated remarkable progress in instruction following and general-purpose reasoning. However, achieving high-quality alignment with human intent and safety norms without human annotations remains a…

Artificial Intelligence · Computer Science 2025-07-24 Haoran Sun , Zekun Zhang , Shaoning Zeng