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Independent learners are agents that employ single-agent algorithms in multi-agent systems, intentionally ignoring the effect of other strategic agents. This paper studies mean-field games from a decentralized learning perspective, with two…

Computer Science and Game Theory · Computer Science 2025-02-04 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

The distributional perspective on reinforcement learning (RL) has given rise to a series of successful Q-learning algorithms, resulting in state-of-the-art performance in arcade game environments. However, it has not yet been analyzed how…

Robotics · Computer Science 2020-07-03 Cristian Bodnar , Adrian Li , Karol Hausman , Peter Pastor , Mrinal Kalakrishnan

Continuous-time stochastic control with time-inhomogeneous jump-diffusion dynamics is central in finance and economics, but computing optimal policies is difficult under explicit time dependence, discontinuous shocks, and high…

Optimization and Control · Mathematics 2026-04-08 Liya Guo , Ruimeng Hu , Xu Yang , Yi Zhu

Q-learning is known as one of the fundamental reinforcement learning (RL) algorithms. Its convergence has been the focus of extensive research over the past several decades. Recently, a new finitetime error bound and analysis for Q-learning…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Donghwna Lee

In this paper, we explore the susceptibility of the independent Q-learning algorithms (a classical and widely used multi-agent reinforcement learning method) to strategic manipulation of sophisticated opponents in normal-form games played…

Computer Science and Game Theory · Computer Science 2024-07-17 Yuksel Arslantas , Ege Yuceel , Muhammed O. Sayin

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

While Bayesian-based exploration often demonstrates superior empirical performance compared to bonus-based methods in model-based reinforcement learning (RL), its theoretical understanding remains limited for model-free settings. Existing…

Machine Learning · Computer Science 2026-02-05 He Wang , Xingyu Xu , Yuejie Chi

We develop the linear programming approach to mean-field games in a general setting. This relaxed control approach allows to prove existence results under weak assumptions, and lends itself well to numerical implementation. We consider…

Optimization and Control · Mathematics 2020-11-24 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

Value estimation is one key problem in Reinforcement Learning. Albeit many successes have been achieved by Deep Reinforcement Learning (DRL) in different fields, the underlying structure and learning dynamics of value function, especially…

Machine Learning · Computer Science 2021-11-22 Tong Sang , Hongyao Tang , Jianye Hao , Yan Zheng , Zhaopeng Meng

Model-free Reinforcement Learning (RL) algorithms such as Q-learning [Watkins, Dayan 92] have been widely used in practice and can achieve human level performance in applications such as video games [Mnih et al. 15]. Recently, equipped with…

Machine Learning · Computer Science 2019-05-03 Zhao Song , Wen Sun

Cumulative entropy regularization introduces a regulatory signal to the reinforcement learning (RL) problem that encourages policies with high-entropy actions, which is equivalent to enforcing small deviations from a uniform reference…

Machine Learning · Computer Science 2019-09-16 Felix Leibfried , Jordi Grau-Moya

We introduce the lookahead-bounded Q-learning (LBQL) algorithm, a new, provably convergent variant of Q-learning that seeks to improve the performance of standard Q-learning in stochastic environments through the use of ``lookahead'' upper…

Machine Learning · Computer Science 2020-06-30 Ibrahim El Shar , Daniel R. Jiang

Mean Field Games (MFGs) provide a powerful framework for modeling the collective behavior of large populations of interacting agents. In this paper, we address the problem of Imitation Learning (IL) in MFGs subject to common noise, where…

Machine Learning · Computer Science 2026-05-06 Grégoire Lambrecht , Mathieu Laurière

Model-free Reinforcement Learning (RL) generally suffers from poor sample complexity, mostly due to the need to exhaustively explore the state-action space to find well-performing policies. On the other hand, we postulate that expert…

Machine Learning · Computer Science 2023-09-13 Loris Di Natale , Bratislav Svetozarevic , Philipp Heer , Colin N. Jones

Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such…

Machine Learning · Computer Science 2020-05-07 Mohak Bhardwaj , Ankur Handa , Dieter Fox , Byron Boots

Achieving convergence of multiple learning agents in general $N$-player games is imperative for the development of safe and reliable machine learning (ML) algorithms and their application to autonomous systems. Yet it is known that, outside…

Computer Science and Game Theory · Computer Science 2023-01-24 Aamal Abbas Hussain , Francesco Belardinelli , Georgios Piliouras

In value-based reinforcement learning methods such as deep Q-learning, function approximation errors are known to lead to overestimated value estimates and suboptimal policies. We show that this problem persists in an actor-critic setting…

Artificial Intelligence · Computer Science 2018-10-23 Scott Fujimoto , Herke van Hoof , David Meger

Model-free reinforcement learning algorithms, such as Q-learning, perform poorly in the early stages of learning in noisy environments, because much effort is spent unlearning biased estimates of the state-action value function. The bias…

Machine Learning · Computer Science 2018-02-01 Roy Fox , Ari Pakman , Naftali Tishby

Robust real-world learning should benefit from both demonstrations and interactions with the environment. Current approaches to learning from demonstration and reward perform supervised learning on expert demonstration data and use…

Artificial Intelligence · Computer Science 2019-05-31 Yang Gao , Huazhe Xu , Ji Lin , Fisher Yu , Sergey Levine , Trevor Darrell