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Multi-agent reinforcement learning (MARL) is often modeled using the framework of Markov games (also called stochastic games or dynamic games). Most of the existing literature on MARL concentrates on zero-sum Markov games but is not…

Computer Science and Game Theory · Computer Science 2022-12-20 Jayakumar Subramanian , Amit Sinha , Aditya Mahajan

We investigate the problem of learning linear quadratic regulators (LQR) in a multi-task, heterogeneous, and model-free setting. We characterize the stability and personalization guarantees of a policy gradient-based (PG) model-agnostic…

Optimization and Control · Mathematics 2024-06-04 Leonardo F. Toso , Donglin Zhan , James Anderson , Han Wang

Markov games (MGs) provide a mathematical foundation for multi-agent reinforcement learning (MARL), enabling self-interested agents to learn their optimal policies while interacting with others in a shared environment. However, due to the…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Huiwen Yan , Mushuang Liu

We study policy gradient (PG) for reinforcement learning in continuous time and space under the regularized exploratory formulation developed by Wang et al. (2020). We represent the gradient of the value function with respect to a given…

Machine Learning · Computer Science 2022-07-26 Yanwei Jia , Xun Yu Zhou

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

This work studies non-cooperative Multi-Agent Reinforcement Learning (MARL) where multiple agents interact in the same environment and whose goal is to maximize the individual returns. Challenges arise when scaling up the number of agents…

Artificial Intelligence · Computer Science 2023-04-14 Talal Algumaei , Ruben Solozabal , Reda Alami , Hakim Hacid , Merouane Debbah , Martin Takac

Many existing reinforcement learning (RL) methods employ stochastic gradient iteration on the back end, whose stability hinges upon a hypothesis that the data-generating process mixes exponentially fast with a rate parameter that appears in…

Machine Learning · Computer Science 2023-02-02 Wesley A. Suttle , Amrit Singh Bedi , Bhrij Patel , Brian M. Sadler , Alec Koppel , Dinesh Manocha

This work leverages adaptive social learning to estimate partially observable global states in multi-agent reinforcement learning (MARL) problems. Unlike existing methods, the proposed approach enables the concurrent operation of social…

Multiagent Systems · Computer Science 2025-08-11 Ainur Zhaikhan , Malek Khammassi , Ali H. Sayed

Reinforcement Learning (RL) has shown significant promise in automated portfolio management; however, effectively balancing risk and return remains a central challenge, as many models fail to adapt to dynamically changing market conditions.…

Machine Learning · Computer Science 2025-12-04 Jiayi Chen , Jing Li , Guiling Wang

We study robust reinforcement learning (RL) with the goal of determining a well-performing policy that is robust against model mismatch between the training simulator and the testing environment. Previous policy-based robust RL algorithms…

Machine Learning · Computer Science 2023-12-12 Ruida Zhou , Tao Liu , Min Cheng , Dileep Kalathil , P. R. Kumar , Chao Tian

Multi-agent adversarial inverse reinforcement learning (MA-AIRL) is a recent approach that applies single-agent AIRL to multi-agent problems where we seek to recover both policies for our agents and reward functions that promote expert-like…

Multiagent Systems · Computer Science 2020-02-26 Wonseok Jeon , Paul Barde , Derek Nowrouzezahrai , Joelle Pineau

We propose a generalization of Quantal Response Equilibrium (QRE) built on a simple premise: some actions are more focal than others. In our model, which we call the Focal Quantal Response Equilibrium (Focal QRE), each player plays a…

Theoretical Economics · Economics 2026-05-26 Matthew Kovach , Gerelt Tserenjigmid

In this work, we propose a multi-agent actor-critic reinforcement learning (RL) algorithm to accelerate the multi-level Monte Carlo Markov Chain (MCMC) sampling algorithms. The policies (actors) of the agents are used to generate the…

Machine Learning · Computer Science 2020-11-19 Eric Chung , Yalchin Efendiev , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

Multi-agent reinforcement learning (MARL) has been shown effective for cooperative games in recent years. However, existing state-of-the-art methods face challenges related to sample complexity, training instability, and the risk of…

Multiagent Systems · Computer Science 2025-03-14 Jiarong Liu , Yifan Zhong , Siyi Hu , Haobo Fu , Qiang Fu , Xiaojun Chang , Yaodong Yang

We present a Reinforcement Learning (RL) algorithm to solve infinite horizon asymptotic Mean Field Game (MFG) and Mean Field Control (MFC) problems. Our approach can be described as a unified two-timescale Mean Field Q-learning: The…

Optimization and Control · Mathematics 2021-06-01 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière

Risk-averse total-reward Markov Decision Processes (MDPs) offer a promising framework for modeling and solving undiscounted infinite-horizon objectives. Existing model-based algorithms for risk measures like the entropic risk measure (ERM)…

Machine Learning · Computer Science 2025-10-27 Xihong Su , Jia Lin Hau , Gersi Doko , Kishan Panaganti , Marek Petrik

Recent years have witnessed significant advances in reinforcement learning (RL), which has registered great success in solving various sequential decision-making problems in machine learning. Most of the successful RL applications, e.g.,…

Machine Learning · Computer Science 2021-04-30 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

Multi-agent systems are characterized by environmental uncertainty, varying policies of agents, and partial observability, which result in significant risks. In the context of Multi-Agent Reinforcement Learning (MARL), learning coordinated…

Multiagent Systems · Computer Science 2024-03-22 Siqi Shen , Chennan Ma , Chao Li , Weiquan Liu , Yongquan Fu , Songzhu Mei , Xinwang Liu , Cheng Wang

We address in this paper Reinforcement Learning (RL) among agents that are grouped into teams such that there is cooperation within each team but general-sum (non-zero sum) competition across different teams. To develop an RL method that…

Machine Learning · Computer Science 2025-02-11 Muhammad Aneeq uz Zaman , Alec Koppel , Mathieu Laurière , Tamer Başar

We study reinforcement learning (RL) for learning a Quantal Stackelberg Equilibrium (QSE) in an episodic Markov game with a leader-follower structure. In specific, at the outset of the game, the leader announces her policy to the follower…

Machine Learning · Computer Science 2023-07-27 Siyu Chen , Mengdi Wang , Zhuoran Yang
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