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We study a structured bi-level optimization problem where the upper-level objective is a smooth function and the lower-level problem is policy optimization in a Markov decision process (MDP). The upper-level decision variable parameterizes…

机器学习 · 计算机科学 2026-04-23 Sihan Zeng , Sujay Bhatt , Sumitra Ganesh , Alec Koppel

This paper presents the first model-free, simulator-free reinforcement learning algorithm for Constrained Markov Decision Processes (CMDPs) with sublinear regret and zero constraint violation. The algorithm is named Triple-Q because it…

机器学习 · 计算机科学 2021-10-26 Honghao Wei , Xin Liu , Lei Ying

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…

计算机科学与博弈论 · 计算机科学 2024-10-10 Fivos Kalogiannis , Jingming Yan , Ioannis Panageas

We consider model-free reinforcement learning (RL) in non-stationary Markov decision processes. Both the reward functions and the state transition functions are allowed to vary arbitrarily over time as long as their cumulative variations do…

机器学习 · 计算机科学 2022-08-23 Weichao Mao , Kaiqing Zhang , Ruihao Zhu , David Simchi-Levi , Tamer Başar

We investigate multi-agent reinforcement learning for stochastic games with complex tasks, where the reward functions are non-Markovian. We utilize reward machines to incorporate high-level knowledge of complex tasks. We develop an…

多智能体系统 · 计算机科学 2023-08-30 Jueming Hu , Jean-Raphael Gaglione , Yanze Wang , Zhe Xu , Ufuk Topcu , Yongming Liu

While multi-agent reinforcement learning (MARL) has produced numerous algorithms that converge to Nash or related equilibria, such equilibria are often non-unique and can exhibit widely varying efficiency. This raises a fundamental…

计算机科学与博弈论 · 计算机科学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Dynamic decision-making under distributional shifts is of fundamental interest in theory and applications of reinforcement learning: The distribution of the environment in which the data is collected can differ from that of the environment…

机器学习 · 计算机科学 2024-09-05 Shengbo Wang , Nian Si , Jose Blanchet , Zhengyuan Zhou

We consider the optimal sample complexity theory of tabular reinforcement learning (RL) for maximizing the infinite horizon discounted reward in a Markov decision process (MDP). Optimal worst-case complexity results have been developed for…

机器学习 · 计算机科学 2023-10-03 Shengbo Wang , Jose Blanchet , Peter Glynn

To achieve sample efficiency in reinforcement learning (RL), it necessitates efficiently exploring the underlying environment. Under the offline setting, addressing the exploration challenge lies in collecting an offline dataset with…

机器学习 · 计算机科学 2022-02-15 Shuang Qiu , Jieping Ye , Zhaoran Wang , Zhuoran Yang

In the optimization of dynamical systems, the variables typically have constraints. Such problems can be modeled as a constrained Markov Decision Process (CMDP). This paper considers a model-free approach to the problem, where the…

机器学习 · 计算机科学 2021-02-02 Qinbo Bai , Vaneet Aggarwal , Ather Gattami

We consider the problem of two-player zero-sum games. This problem is formulated as a min-max Markov game in the literature. The solution of this game, which is the min-max payoff, starting from a given state is called the min-max value of…

机器学习 · 计算机科学 2022-03-21 Raghuram Bharadwaj Diddigi , Chandramouli Kamanchi , Shalabh Bhatnagar

We study the sample complexity of identifying the pure strategy Nash equilibrium (PSNE) in a two-player zero-sum matrix game with noise. Formally, we are given a stochastic model where any learner can sample an entry $(i,j)$ of the input…

机器学习 · 计算机科学 2023-11-29 Arnab Maiti , Ross Boczar , Kevin Jamieson , Lillian J. Ratliff

This paper is concerned with offline reinforcement learning (RL), which learns using pre-collected data without further exploration. Effective offline RL would be able to accommodate distribution shift and limited data coverage. However,…

机器学习 · 统计学 2024-03-11 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi , Yuting Wei

We explore the use of policy approximations to reduce the computational cost of learning Nash equilibria in zero-sum stochastic games. We propose a new Q-learning type algorithm that uses a sequence of entropy-regularized soft policies to…

机器学习 · 计算机科学 2021-06-29 Yue Guan , Qifan Zhang , Panagiotis Tsiotras

Stochastic games generalize Markov decision processes (MDPs) to a multiagent setting by allowing the state transitions to depend jointly on all player actions, and having rewards determined by multiplayer matrix games at each state. We…

计算机科学与博弈论 · 计算机科学 2013-01-18 Michael Kearns , Yishay Mansour , Satinder Singh

We study a new class of Markov games, \emph(multi-player) zero-sum Markov Games} with \emph{Networked separable interactions} (zero-sum NMGs), to model the local interaction structure in non-cooperative multi-agent sequential…

计算机科学与博弈论 · 计算机科学 2025-07-15 Chanwoo Park , Kaiqing Zhang , Asuman Ozdaglar

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

计算机科学与博弈论 · 计算机科学 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

机器学习 · 计算机科学 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein,…

机器学习 · 计算机科学 2024-09-02 Talha Bozkus , Urbashi Mitra

Multi-agent learning algorithms have been shown to display complex, unstable behaviours in a wide array of games. In fact, previous works indicate that convergent behaviours are less likely to occur as the total number of agents increases.…

计算机科学与博弈论 · 计算机科学 2024-03-26 Aamal Hussain , Dan Leonte , Francesco Belardinelli , Georgios Piliouras