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We study the problem of learning a Nash equilibrium (NE) in Markov games which is a cornerstone in multi-agent reinforcement learning (MARL). In particular, we focus on infinite-horizon adversarial team Markov games (ATMGs) in which agents…

Computer Science and Game Theory · Computer Science 2024-10-10 Fivos Kalogiannis , Jingming Yan , Ioannis Panageas

Safe reinforcement learning addresses constrained optimization problems where maximizing performance must be balanced against safety constraints, and Lagrangian methods are a widely used approach for this purpose. However, the effectiveness…

Machine Learning · Computer Science 2026-03-24 Lindsay Spoor , Álvaro Serra-Gómez , Aske Plaat , Thomas Moerland

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 the Safe Reinforcement Learning (SRL) problem using the Constrained Markov Decision Process (CMDP) formulation in which an agent aims to maximize the expected total reward subject to a safety constraint on the expected total value…

Machine Learning · Computer Science 2020-10-27 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

We study the problem of multi-agent reinforcement learning (MARL) with adaptivity constraints -- a new problem motivated by real-world applications where deployments of new policies are costly and the number of policy updates must be…

Machine Learning · Computer Science 2024-02-05 Dan Qiao , Yu-Xiang Wang

Experience replay is crucial for off-policy reinforcement learning (RL) methods. By remembering and reusing the experiences from past different policies, experience replay significantly improves the training efficiency and stability of RL…

Machine Learning · Computer Science 2023-03-01 Yongsheng Mei , Hanhan Zhou , Tian Lan , Guru Venkataramani , Peng Wei

Offline reinforcement learning (RL) aims at learning an optimal strategy using a pre-collected dataset without further interactions with the environment. While various algorithms have been proposed for offline RL in the previous literature,…

Machine Learning · Computer Science 2023-03-02 Wei Xiong , Han Zhong , Chengshuai Shi , Cong Shen , Liwei Wang , Tong Zhang

This paper introduces an information-theoretic constraint on learned policy complexity in the Multi-Agent Deep Deterministic Policy Gradient (MADDPG) reinforcement learning algorithm. Previous research with a related approach in continuous…

Artificial Intelligence · Computer Science 2025-05-16 Tailia Malloy , Tim Klinger , Miao Liu , Matthew Riemer , Gerald Tesauro , Chris R. Sims

Safe reinforcement learning has been a promising approach for optimizing the policy of an agent that operates in safety-critical applications. In this paper, we propose an algorithm, SNO-MDP, that explores and optimizes Markov decision…

Machine Learning · Computer Science 2020-08-18 Akifumi Wachi , Yanan Sui

We study the reinforcement learning (RL) problem in a constrained Markov decision process (CMDP), where an agent explores the environment to maximize the expected cumulative reward while satisfying a single constraint on the expected total…

Partially observable restless multi-armed bandits have found numerous applications including in recommendation systems, communication systems, public healthcare outreach systems, and in operations research. We study multi-action partially…

Machine Learning · Computer Science 2025-09-03 Rahul Meshram , Kesav Kaza

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

Multi-agent robust reinforcement learning, also known as multi-player robust Markov games (RMGs), is a crucial framework for modeling competitive interactions under environmental uncertainties, with wide applications in multi-agent systems.…

Machine Learning · Computer Science 2024-12-31 Yuchen Jiao , Gen Li

We construct a semi-Lagrangian scheme for first-order, time-dependent, and non-local Mean Field Games. The convergence of the scheme to a weak solution of the system is analyzed by exploiting a key monotonicity property. To solve the…

Numerical Analysis · Mathematics 2026-05-12 Elisabetta Carlini , Valentina Coscetti

We consider the problem of decentralized multi-agent reinforcement learning in Markov games. A fundamental question is whether there exist algorithms that, when adopted by all agents and run independently in a decentralized fashion, lead to…

Machine Learning · Computer Science 2023-03-23 Dylan J. Foster , Noah Golowich , Sham M. Kakade

Multi-agent reinforcement learning (MARL) holds great potential but faces robustness challenges due to environmental uncertainty. To address this, distributionally robust Markov games (RMGs) optimize worst-case performance when the…

Machine Learning · Computer Science 2026-05-08 Jingchu Gai , Laixi Shi

Markov games (MGs) and multi-agent reinforcement learning (MARL) are studied to model decision making in multi-agent systems. Traditionally, the objective in MG and MARL has been risk-neutral, i.e., agents are assumed to optimize a…

Computer Science and Game Theory · Computer Science 2024-06-11 Hafez Ghaemi , Shirin Jamshidi , Mohammad Mashreghi , Majid Nili Ahmadabadi , Hamed Kebriaei

In this work we introduce reinforcement learning techniques for solving lexicographic multi-objective problems. These are problems that involve multiple reward signals, and where the goal is to learn a policy that maximises the first reward…

Machine Learning · Computer Science 2022-12-29 Joar Skalse , Lewis Hammond , Charlie Griffin , Alessandro Abate

Multi-agent planning and reinforcement learning can be challenging when agents cannot see the state of the world or communicate with each other due to communication costs, latency, or noise. Partially Observable Stochastic Games (POSGs)…

Multiagent Systems · Computer Science 2024-12-20 Rafael F. Cunha , Jacopo Castellini , Johan Peralez , Jilles S. Dibangoye

In this paper, we investigate sequential power allocation over fast varying channels for mission-critical applications, aiming to minimize the expected sum power while guaranteeing the transmission success probability. In particular, a…

Information Theory · Computer Science 2023-06-09 Chongtao Guo , Zhengchao Li , Le Liang , Geoffrey Ye Li
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