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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

Multi-Agent Reinforcement Learning (MARL) has emerged as a powerfulparadigm for cooperative decision-making in connected autonomous vehicles(CAVs); however, existing approaches often fail to guarantee stability, optimality,and…

General Mathematics · Mathematics 2025-11-25 Mazyar Taghavi , Javad Vahidi

Underlying relationships among multi-agent systems (MAS) in hazardous scenarios can be represented as Game-theoretic models. We measure the performance of MAS achieving tasks from the perspective of balancing success probability and system…

Multiagent Systems · Computer Science 2021-08-03 Qin Yang , Ramviyas Parasuraman

This paper considers risk-averse learning in convex games involving multiple agents that aim to minimize their individual risk of incurring significantly high costs. Specifically, the agents adopt the conditional value at risk (CVaR) as a…

Optimization and Control · Mathematics 2024-03-18 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

Self-play (SP) is a popular multi-agent reinforcement learning (MARL) framework for solving competitive games, where each agent optimizes policy by treating others as part of the environment. Despite the empirical successes, the theoretical…

Artificial Intelligence · Computer Science 2023-10-06 Zelai Xu , Yancheng Liang , Chao Yu , Yu Wang , Yi Wu

In many settings where multiple agents interact, the optimal choices for each agent depend heavily on the choices of the others. These coupled interactions are well-described by a general-sum differential game, in which players have…

Robotics · Computer Science 2020-05-07 Lasse Peters , David Fridovich-Keil , Claire J. Tomlin , Zachary N. Sunberg

Tremendous advances have been made in multiagent reinforcement learning (MARL). MARL corresponds to the learning problem in a multiagent system in which multiple agents learn simultaneously. It is an interdisciplinary field of study with a…

Multiagent Systems · Computer Science 2025-08-14 Yaodong Yang , Chengdong Ma , Zihan Ding , Stephen McAleer , Chi Jin , Jun Wang , Tuomas Sandholm

We study the problem of training a principal in a multi-agent general-sum game using reinforcement learning (RL). Learning a robust principal policy requires anticipating the worst possible strategic responses of other agents, which is…

Machine Learning · Computer Science 2022-12-21 Eric Zhao , Alexander R. Trott , Caiming Xiong , Stephan Zheng

In this paper, we investigate a competitive market involving two agents who consider both their own wealth and the wealth gap with their opponent. Both agents can invest in a financial market consisting of a risk-free asset and a risky…

Optimization and Control · Mathematics 2025-02-10 Junyi Guo , Xia Han , Hao Wang , Kam Chuen Yuen

Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-agent system into a potential game. First, for fixed…

Optimization and Control · Mathematics 2016-08-02 Ting Liu , Jinhuan Wang , Daizhan Cheng

As increasingly capable agents are deployed, a central safety challenge is how to retain meaningful human control without modifying the underlying system. We study a minimal control interface in which an agent chooses whether to act…

Artificial Intelligence · Computer Science 2026-02-23 William Overman , Mohsen Bayati

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

Multiagent Systems · Computer Science 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

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

Safety and scalability are two critical challenges faced by practical Multi-Agent Systems (MAS). However, existing Multi-Agent Reinforcement Learning (MARL) algorithms that rely solely on reward shaping are ineffective in ensuring safety,…

Multiagent Systems · Computer Science 2025-04-02 Haikuo Du , Fandi Gou , Yunze Cai

In graph-structured multi-agent reinforcement learning (MARL) adversarial tasks such as pursuit and confrontation, agents must coordinate under highly dynamic interactions, where sparse rewards hinder efficient policy learning. We propose…

Machine Learning · Computer Science 2025-11-12 Ruochuan Shi , Runyu Lu , Yuanheng Zhu , Dongbin Zhao

The interplay between exploration and exploitation in competitive multi-agent learning is still far from being well understood. Motivated by this, we study smooth Q-learning, a prototypical learning model that explicitly captures the…

Computer Science and Game Theory · Computer Science 2021-06-25 Stefanos Leonardos , Georgios Piliouras , Kelly Spendlove

Standard multi-agent reinforcement learning (MARL) algorithms are vulnerable to sim-to-real gaps. To address this, distributionally robust Markov games (RMGs) have been proposed to enhance robustness in MARL by optimizing the worst-case…

Machine Learning · Computer Science 2025-02-03 Laixi Shi , Jingchu Gai , Eric Mazumdar , Yuejie Chi , Adam Wierman

Policy gradient methods enjoy strong practical performance in numerous tasks in reinforcement learning. Their theoretical understanding in multiagent settings, however, remains limited, especially beyond two-player competitive and potential…

Computer Science and Game Theory · Computer Science 2023-12-22 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

We introduce the topic of learning in multiagent systems. We first provide a quick introduction to the field of game theory, focusing on the equilibrium concepts of iterated dominance, and Nash equilibrium. We show some of the most relevant…

Multiagent Systems · Computer Science 2009-09-29 Jose M. Vidal

The Control as Inference (CAI) framework has successfully transformed single-agent reinforcement learning (RL) by reframing control tasks as probabilistic inference problems. However, the extension of CAI to multi-agent, general-sum…

Multiagent Systems · Computer Science 2025-03-11 Zhiyu Zhao , Haifeng Zhang
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