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This paper addresses a critical challenge in the high-speed passenger railway industry: designing effective dynamic pricing strategies in the context of competing and cooperating operators. To address this, a multi-agent reinforcement…

To reliably deploy Multi-Agent Reinforcement Learning (MARL) systems, it is crucial to understand individual agent behaviors. While prior work typically evaluates overall team performance based on explicit reward signals, it is unclear how…

Artificial Intelligence · Computer Science 2025-08-26 Ardian Selmonaj , Miroslav Strupl , Oleg Szehr , Alessandro Antonucci

We study risk-sensitive multi-agent reinforcement learning under general-sum Markov games, where agents optimize the entropic risk measure of rewards with possibly diverse risk preferences. We show that using the regret naively adapted from…

Machine Learning · Computer Science 2024-05-07 Yingjie Fei , Ruitu Xu

Multiagent systems where agents interact among themselves and with a stochastic environment can be formalized as stochastic games. We study a subclass named Markov potential games (MPGs) that appear often in economic and engineering…

Multiagent Systems · Computer Science 2018-05-23 Sergio Valcarcel Macua , Javier Zazo , Santiago Zazo

Learning Nash equilibrium (NE) in complex zero-sum games with multi-agent reinforcement learning (MARL) can be extremely computationally expensive. Curriculum learning is an effective way to accelerate learning, but an under-explored…

Machine Learning · Computer Science 2023-12-19 Jiayu Chen , Zelai Xu , Yunfei Li , Chao Yu , Jiaming Song , Huazhong Yang , Fei Fang , Yu Wang , Yi Wu

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

Stochastic games are a popular framework for studying multi-agent reinforcement learning (MARL). Recent advances in MARL have focused primarily on games with finitely many states. In this work, we study multi-agent learning in stochastic…

Machine Learning · Computer Science 2024-03-28 Awni Altabaa , Bora Yongacoglu , Serdar Yüksel

To achieve general intelligence, agents must learn how to interact with others in a shared environment: this is the challenge of multiagent reinforcement learning (MARL). The simplest form is independent reinforcement learning (InRL), where…

Artificial Intelligence · Computer Science 2017-11-08 Marc Lanctot , Vinicius Zambaldi , Audrunas Gruslys , Angeliki Lazaridou , Karl Tuyls , Julien Perolat , David Silver , Thore Graepel

When solving two-player zero-sum games, multi-agent reinforcement learning (MARL) algorithms often create populations of agents where, at each iteration, a new agent is discovered as the best response to a mixture over the opponent…

Artificial Intelligence · Computer Science 2021-11-02 Xidong Feng , Oliver Slumbers , Ziyu Wan , Bo Liu , Stephen McAleer , Ying Wen , Jun Wang , Yaodong Yang

In order for agents in multi-agent systems (MAS) to be safe, they need to take into account the risks posed by the actions of other agents. However, the dominant paradigm in game theory (GT) assumes that agents are not affected by risk from…

Machine Learning · Computer Science 2023-03-03 Oliver Slumbers , David Henry Mguni , Stephen Marcus McAleer , Stefano B. Blumberg , Jun Wang , Yaodong Yang

Training multi-agent systems (MAS) to achieve realistic equilibria gives us a useful tool to understand and model real-world systems. We consider a general sum partially observable Markov game where agents of different types share a single…

Multiagent Systems · Computer Science 2020-10-26 Nelson Vadori , Sumitra Ganesh , Prashant Reddy , Manuela Veloso

Multi-agent imitation learning (MA-IL) aims to learn optimal policies from expert demonstrations of interactions in multi-agent interactive domains. Despite existing guarantees on the performance of the resulting learned policies,…

Machine Learning · Computer Science 2026-02-25 Antoine Bergerault , Volkan Cevher , Negar Mehr

This paper presents a novel approach to Multi-Agent Reinforcement Learning (MARL) that combines cooperative task decomposition with the learning of reward machines (RMs) encoding the structure of the sub-tasks. The proposed method helps…

Artificial Intelligence · Computer Science 2025-02-17 Leo Ardon , Daniel Furelos-Blanco , Alessandra Russo

Multi-agent reinforcement learning (MARL) methods have achieved state-of-the-art results on a range of multi-agent tasks. Yet, MARL algorithms typically require significantly more environment interactions than their single-agent…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Tom Danino , Nahum Shimkin

We study the problem of online multi-agent reinforcement learning (MARL) in environments with sparse rewards, where reward feedback is not provided at each interaction but only revealed at the end of a trajectory. This setting, though…

Machine Learning · Computer Science 2025-09-29 The Viet Bui , Tien Mai , Hong Thanh Nguyen

We propose the concept of a Lagrangian game to solve constrained Markov games. Such games model scenarios where agents face cost constraints in addition to their individual rewards, that depend on both agent joint actions and the evolving…

Optimization and Control · Mathematics 2025-03-14 Soham Das , Santiago Paternain , Luiz F. O. Chamon , Ceyhun Eksin

Imitation learning algorithms can be used to learn a policy from expert demonstrations without access to a reward signal. However, most existing approaches are not applicable in multi-agent settings due to the existence of multiple (Nash)…

Machine Learning · Computer Science 2018-07-27 Jiaming Song , Hongyu Ren , Dorsa Sadigh , Stefano Ermon

Convex Markov Games (cMGs) were recently introduced as a broad class of multi-agent learning problems that generalize Markov games to settings where strategic agents optimize general utilities beyond additive rewards. While cMGs expand the…

Computer Science and Game Theory · Computer Science 2026-02-13 Anas Barakat , Ioannis Panageas , Antonios Varvitsiotis

Much of recent success in multiagent reinforcement learning has been in two-player zero-sum games. In these games, algorithms such as fictitious self-play and minimax tree search can converge to an approximate Nash equilibrium. While…

Multiagent Systems · Computer Science 2019-12-11 Alexander Shmakov , John Lanier , Stephen McAleer , Rohan Achar , Cristina Lopes , Pierre Baldi

Significant advances have recently been achieved in Multi-Agent Reinforcement Learning (MARL) which tackles sequential decision-making problems involving multiple participants. However, MARL requires a tremendous number of samples for…

Multiagent Systems · Computer Science 2024-12-30 Xihuai Wang , Zhicheng Zhang , Weinan Zhang
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