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We introduce the use of generative adversarial learning to compute equilibria in general game-theoretic settings, specifically the generalized Nash equilibrium (GNE) in pseudo-games, and its specific instantiation as the competitive…

Computer Science and Game Theory · Computer Science 2023-02-21 Denizalp Goktas , David C. Parkes , Ian Gemp , Luke Marris , Georgios Piliouras , Romuald Elie , Guy Lever , Andrea Tacchetti

This paper studies distributed online bandit learning of generalized Nash equilibria for online game, where cost functions of all players and coupled constraints are time-varying. The values rather than full information of cost and local…

Optimization and Control · Mathematics 2022-04-21 Min Meng , Xiuxian Li , Jie Chen

This paper presents an exact penalization theory of the generalized Nash equilibrium problem (GNEP) that has its origin from the renowned Arrow-Debreu general economic equilibrium model. While the latter model is the foundation of much of…

Computer Science and Game Theory · Computer Science 2018-12-04 Qin Ba , Jong-Shi Pang

Offline reinforcement learning (offline RL) is an emerging field that has recently begun gaining attention across various application domains due to its ability to learn strategies from earlier collected datasets. Offline RL proved very…

Artificial Intelligence · Computer Science 2023-02-09 Shuxin Li , Xinrun Wang , Youzhi Zhang , Jakub Cerny , Pengdeng Li , Hau Chan , Bo An

We propose a reinforcement learning algorithm for stationary mean-field games, where the goal is to learn a pair of mean-field state and stationary policy that constitutes the Nash equilibrium. When viewing the mean-field state and the…

Machine Learning · Computer Science 2020-10-12 Qiaomin Xie , Zhuoran Yang , Zhaoran Wang , Andreea Minca

Dynamic games can be an effective approach to modeling interactive behavior between multiple non-cooperative agents and they provide a theoretical framework for simultaneous prediction and control in such scenarios. In this work, we propose…

Systems and Control · Electrical Eng. & Systems 2022-09-19 Edward L. Zhu , Francesco Borrelli

Reinforcement learning from human feedback (RLHF) has demonstrated remarkable effectiveness in aligning large language models (LLMs) with human preferences. Many existing alignment approaches rely on the Bradley-Terry (BT) model assumption,…

Machine Learning · Computer Science 2025-02-25 Yuheng Zhang , Dian Yu , Tao Ge , Linfeng Song , Zhichen Zeng , Haitao Mi , Nan Jiang , Dong Yu

In this paper, we present three distributed algorithms to solve a class of generalized Nash equilibrium (GNE) seeking problems in strongly monotone games. The first one (SD-GENO) is based on synchronous updates of the agents, while the…

Computer Science and Game Theory · Computer Science 2020-05-08 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

We propose a novel framework for exploring weak and $L_2$ generalization errors of algorithms through the lens of differential calculus on the space of probability measures. Specifically, we consider the KL-regularized empirical risk…

Machine Learning · Statistics 2023-06-21 Gholamali Aminian , Samuel N. Cohen , Łukasz Szpruch

This paper makes progress towards learning Nash equilibria in two-player zero-sum Markov games from offline data. Specifically, consider a $\gamma$-discounted infinite-horizon Markov game with $S$ states, where the max-player has $A$…

Machine Learning · Computer Science 2025-03-18 Yuling Yan , Gen Li , Yuxin Chen , Jianqing Fan

Real world applications such as economics and policy making often involve solving multi-agent games with two unique features: (1) The agents are inherently asymmetric and partitioned into leaders and followers; (2) The agents have different…

Machine Learning · Computer Science 2021-11-04 Yu Bai , Chi Jin , Huan Wang , Caiming Xiong

Recent extensions to dynamic games of the well-known fictitious play learning procedure in static games were proved to globally converge to stationary Nash equilibria in two important classes of dynamic games (zero-sum and…

Computer Science and Game Theory · Computer Science 2022-07-08 Lucas Baudin , Rida Laraki

This paper proposes the first fully distributed algorithm for finding the Generalized Nash Equilibrium (GNE) of a non-cooperative game with shared coupling constraints and general cost coupling at a user-prescribed finite time T. As a…

Optimization and Control · Mathematics 2026-03-24 Liraz Mudrik , Isaac Kaminer , Sean Kragelund , Abram H. Clark

This paper considers no-regret learning for repeated continuous-kernel games with lossy bandit feedback. Since it is difficult to give the explicit model of the utility functions in dynamic environments, the players' action can only be…

Machine Learning · Computer Science 2022-05-17 Wenting Liu , Jinlong Lei , Peng Yi , Yiguang Hong

Finding Nash equilibria in two-player zero-sum imperfect-information games remains a central challenge in multi-agent reinforcement learning. Recent multi-round regularization methods offer a promising direction, yet existing approaches…

Machine Learning · Computer Science 2026-05-01 Eason Yu , Tzu Hao Liu , Clément L. Canonne , Yunke Wang , Chang Xu , Nguyen H. Tran , Stefano V. Albrecht

We prove that optimistic-follow-the-regularized-leader (OFTRL), together with smooth value updates, finds an $O(T^{-1})$-approximate Nash equilibrium in $T$ iterations for two-player zero-sum Markov games with full information. This…

Machine Learning · Computer Science 2023-02-10 Yuepeng Yang , Cong Ma

We propose a simple yet effective alternative to reward normalization in policy gradient reinforcement learning by integrating a 1D Kalman filter for online reward estimation. Instead of relying on fixed heuristics, our method recursively…

Machine Learning · Computer Science 2026-04-28 Zixuan Xia , Quanxi Li

Offline goal-conditioned RL (GCRL) offers a way to train general-purpose agents from fully offline datasets. In addition to being conservative within the dataset, the generalization ability to achieve unseen goals is another fundamental…

Machine Learning · Computer Science 2023-06-05 Rui Yang , Yong Lin , Xiaoteng Ma , Hao Hu , Chongjie Zhang , Tong Zhang

In order to find Nash-equilibria for two-player zero-sum games where each player plays combinatorial objects like spanning trees, matchings etc, we consider two online learning algorithms: the online mirror descent (OMD) algorithm and the…

Machine Learning · Computer Science 2016-03-03 Swati Gupta , Michel Goemans , Patrick Jaillet

Mean Field Games (MFGs) have the ability to handle large-scale multi-agent systems, but learning Nash equilibria in MFGs remains a challenging task. In this paper, we propose a deep reinforcement learning (DRL) algorithm that achieves…

Computer Science and Game Theory · Computer Science 2024-03-07 Zida Wu , Mathieu Lauriere , Samuel Jia Cong Chua , Matthieu Geist , Olivier Pietquin , Ankur Mehta
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