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In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

最优化与控制 · 数学 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

The proximal policy optimization (PPO) algorithm stands as one of the most prosperous methods in the field of reinforcement learning (RL). Despite its success, the theoretical understanding of PPO remains deficient. Specifically, it is…

机器学习 · 计算机科学 2023-06-09 Han Zhong , Tong Zhang

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…

机器学习 · 计算机科学 2021-02-09 Yi Tian , Yuanhao Wang , Tiancheng Yu , Suvrit Sra

Model-based reinforcement learning (MBRL) agents typically learn world models by minimizing predictive loss. However, powerful RL optimizers inevitably exploit minor model inaccuracies, leading to simulator exploitation and a reality gap…

机器学习 · 计算机科学 2026-05-29 Christoph Dann , Yishay Mansour , Mehryar Mohri

Model predictive control (MPC) is a powerful technique for solving dynamic control tasks. In this paper, we show that there exists a close connection between MPC and online learning, an abstract theoretical framework for analyzing online…

机器人学 · 计算机科学 2019-10-10 Nolan Wagener , Ching-An Cheng , Jacob Sacks , Byron Boots

We consider an agent interacting with an environment in a single stream of actions, observations, and rewards, with no reset. This process is not assumed to be a Markov Decision Process (MDP). Rather, the agent has several representations…

机器学习 · 计算机科学 2013-03-19 Odalric-Ambrym Maillard , Phuong Nguyen , Ronald Ortner , Daniil Ryabko

When deployed in the world, a learning agent such as a recommender system or a chatbot often repeatedly interacts with another learning agent (such as a user) over time. In many such two-agent systems, each agent learns separately and the…

机器学习 · 计算机科学 2024-06-24 Kate Donahue , Nicole Immorlica , Meena Jagadeesan , Brendan Lucier , Aleksandrs Slivkins

The study of decentralized learning or independent learning in cooperative multi-agent reinforcement learning has a history of decades. Recently empirical studies show that independent PPO (IPPO) can obtain good performance, close to or…

机器学习 · 计算机科学 2022-11-08 Kefan Su , Zongqing Lu

A Markov Decision Process (MDP) is a popular model for reinforcement learning. However, its commonly used assumption of stationary dynamics and rewards is too stringent and fails to hold in adversarial, nonstationary, or multi-agent…

机器学习 · 计算机科学 2019-08-22 Tiancheng Yu , Suvrit Sra

We study safe reinforcement learning in finite-horizon linear mixture constrained Markov decision processes (CMDPs) with adversarial rewards under full-information feedback and an unknown transition kernel. We propose a primal-dual policy…

机器学习 · 计算机科学 2026-03-31 Kihyun Yu , Seoungbin Bae , Dabeen Lee

Many strategic decision-making problems, such as environment design for warehouse robots, can be naturally formulated as bi-level reinforcement learning (RL), where a leader agent optimizes its objective while a follower solves a Markov…

机器学习 · 计算机科学 2026-04-01 Mikoto Kudo , Takumi Tanabe , Akifumi Wachi , Youhei Akimoto

Regret minimization is a general approach to online optimization which plays a crucial role in many algorithms for approximating Nash equilibria in two-player zero-sum games. The literature mainly focuses on solving individual games in…

计算机科学与博弈论 · 计算机科学 2025-04-29 David Sychrovský , Martin Schmid , Michal Šustr , Michael Bowling

Policy optimization methods with function approximation are widely used in multi-agent reinforcement learning. However, it remains elusive how to design such algorithms with statistical guarantees. Leveraging a multi-agent performance…

机器学习 · 计算机科学 2023-05-09 Yulai Zhao , Zhuoran Yang , Zhaoran Wang , Jason D. Lee

We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

机器学习 · 计算机科学 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

Preference-conditioned multi-objective reinforcement learning aims to learn a single policy that captures trade-offs across preferences, but under nonlinear scalarization the uniqueness and continuity of the preference-to-solution…

机器学习 · 计算机科学 2026-05-12 Akihiro Kubo , Kosuke Nakanishi , Shin Ishii

Most reinforcement learning methods are based upon the key assumption that the transition dynamics and reward functions are fixed, that is, the underlying Markov decision process is stationary. However, in many real-world applications, this…

机器学习 · 计算机科学 2020-09-23 Yash Chandak , Georgios Theocharous , Shiv Shankar , Martha White , Sridhar Mahadevan , Philip S. Thomas

We consider a class of concave continuous games in which the corresponding admissible strategy profile of each player underlies affine coupling constraints. We propose a novel algorithm that leads the relevant population dynamic toward Nash…

计算机科学与博弈论 · 计算机科学 2019-10-22 Ezra Tampubolon , Holger Boche

We study policy optimization algorithms for computing correlated equilibria in multi-player general-sum Markov Games. Previous results achieve $O(T^{-1/2})$ convergence rate to a correlated equilibrium and an accelerated $O(T^{-3/4})$…

机器学习 · 计算机科学 2024-05-03 Yang Cai , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

机器学习 · 计算机科学 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

This paper studies the policy mirror descent (PMD) method, which is a general policy optimization framework in reinforcement learning and can cover a wide range of policy gradient methods by specifying difference mirror maps. Existing…

最优化与控制 · 数学 2026-01-01 Wenye Li , Hongxu Chen , Jiacai Liu , Ke Wei