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As one of the most popular methods in the field of reinforcement learning, Q-learning has received increasing attention. Recently, there have been more theoretical works on the regret bound of algorithms that belong to the Q-learning class…

Machine Learning · Computer Science 2021-07-05 Zehao Dou , Zhuoran Yang , Zhaoran Wang , Simon S. Du

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

Optimization and Control · Mathematics 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

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

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

Optimization and Control · Mathematics 2022-04-06 Yuanhanqing Huang , Jianghai Hu

Provably efficient and robust equilibrium computation in general-sum Markov games remains a core challenge in multi-agent reinforcement learning. Nash equilibrium is computationally intractable in general and brittle due to equilibrium…

Machine Learning · Computer Science 2026-03-11 Jake Gonzales , Max Horwitz , Eric Mazumdar , Lillian J. Ratliff

This paper investigates a class of multi-player discrete games where each player aims to maximize its own utility function. Each player does not know the other players' action sets, their deployed actions or the structures of its own or the…

Optimization and Control · Mathematics 2017-12-05 Zhisheng Hu , Minghui Zhu , Ping Chen , Peng Liu

We study a novel control problem in the context of network coordination games: the individuation of the smallest set of players capable of driving the system, globally, from one Nash equilibrium to another one. Our main contribution is the…

Computer Science and Game Theory · Computer Science 2019-12-18 Stephane Durand , Giacomo Como , Fabio Fagnani

We study online learning in unknown Markov games, a problem that arises in episodic multi-agent reinforcement learning where the actions of the opponents are unobservable. We show that in this challenging setting, achieving sublinear regret…

Machine Learning · Computer Science 2021-02-09 Yi Tian , Yuanhao Wang , Tiancheng Yu , Suvrit Sra

We present the first class of policy-gradient algorithms that work with both state-value and policy function-approximation, and are guaranteed to converge under off-policy training. Our solution targets problems in reinforcement learning…

Artificial Intelligence · Computer Science 2018-02-23 Hamid Reza Maei

Although it has been known since the 1970s that a globally optimal strategy profile in a common-payoff game is a Nash equilibrium, global optimality is a strict requirement that limits the result's applicability. In this work, we show that…

Computer Science and Game Theory · Computer Science 2022-07-08 Scott Emmons , Caspar Oesterheld , Andrew Critch , Vincent Conitzer , Stuart Russell

In this paper, we consider a learning problem among non-cooperative agents interacting in a time-varying system. Specifically, we focus on repeated linear quadratic network games, in which the network of interactions changes with time and…

Computer Science and Game Theory · Computer Science 2023-10-23 Feras Al Taha , Kiran Rokade , Francesca Parise

We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed to change with time. We introduce an…

Machine Learning · Computer Science 2013-03-14 Yasin Abbasi-Yadkori , Peter L. Bartlett , Csaba Szepesvari

We show that in a cooperative $N$-agent network, one can design locally executable policies for the agents such that the resulting discounted sum of average rewards (value) well approximates the optimal value computed over all (including…

Machine Learning · Computer Science 2022-09-09 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

In this paper, we develop a novel variant of off-policy natural actor-critic algorithm with linear function approximation and we establish a sample complexity of $\mathcal{O}(\epsilon^{-3})$, outperforming all the previously known…

Machine Learning · Computer Science 2022-04-13 Zaiwei Chen , Sajad Khodadadian , Siva Theja Maguluri

We consider a class of dynamic collective choice models with social interactions, whereby a large number of non-uniform agents have to individually settle on one of multiple discrete alternative choices, with the relevance of their would-be…

Systems and Control · Computer Science 2017-08-21 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

Multi-agent learning is a challenging problem in machine learning that has applications in different domains such as distributed control, robotics, and economics. We develop a prescriptive model of multi-agent behavior using Markov games.…

Artificial Intelligence · Computer Science 2020-05-27 Jalal Etesami , Christoph-Nikolas Straehle

We consider the capacitated selfish replication (CSR) game with binary preferences, over general undirected networks. We first show that such games have an associated ordinary potential function, and hence always admit a pure-strategy Nash…

Computer Science and Game Theory · Computer Science 2016-03-14 Seyed Rasoul Etesami , Tamer Basar

Recent research has shown that surprisingly rich models of human activity can be learned from GPS (positional) data. However, most effort to date has concentrated on modeling single individuals or statistical properties of groups of people.…

Multiagent Systems · Computer Science 2014-01-21 Adam Sadilek , Henry Kautz

We consider the reinforcement learning problem for partially observed Markov decision processes (POMDPs) with large or even countably infinite state spaces, where the controller has access to only noisy observations of the underlying…

Machine Learning · Computer Science 2023-07-20 Semih Cayci , Niao He , R. Srikant

Reinforcement learning in multi-agent scenarios is important for real-world applications but presents challenges beyond those seen in single-agent settings. We present an actor-critic algorithm that trains decentralized policies in…

Machine Learning · Computer Science 2019-05-29 Shariq Iqbal , Fei Sha
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