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Exploration remains a key challenge in deep reinforcement learning (RL). Optimism in the face of uncertainty is a well-known heuristic with theoretical guarantees in the tabular setting, but how best to translate the principle to deep…

机器学习 · 计算机科学 2023-06-06 Brendan O'Donoghue

We study the game modification problem, where a benevolent game designer or a malevolent adversary modifies the reward function of a zero-sum Markov game so that a target deterministic or stochastic policy profile becomes the unique Markov…

计算机科学与博弈论 · 计算机科学 2024-08-27 Young Wu , Jeremy McMahan , Yiding Chen , Yudong Chen , Xiaojin Zhu , Qiaomin Xie

Reinforcement learning has been successful both empirically and theoretically in single-agent settings, but extending these results to multi-agent reinforcement learning in general-sum Markov games remains challenging. This paper studies…

机器学习 · 计算机科学 2026-04-07 Narim Jeong , Donghwan Lee

In this paper we consider multi-objective reinforcement learning where the objectives are balanced using preferences. In practice, the preferences are often given in an adversarial manner, e.g., customers can be picky in many applications.…

机器学习 · 计算机科学 2021-10-29 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

High sample complexity remains a barrier to the application of reinforcement learning (RL), particularly in multi-agent systems. A large body of work has demonstrated that exploration mechanisms based on the principle of optimism under…

机器学习 · 计算机科学 2021-08-02 Robert Loftin , Aadirupa Saha , Sam Devlin , Katja Hofmann

We study the problem of guaranteeing low regret in repeated games against an opponent with unknown membership in one of several classes. We add the constraint that our algorithm is non-exploitable, in that the opponent lacks an incentive to…

计算机科学与博弈论 · 计算机科学 2022-07-05 Anthony DiGiovanni , Ambuj Tewari

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

机器学习 · 计算机科学 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

This paper proposes a simulation-based reinforcement learning algorithm for controlling systems with uncertain and varying system parameters. While simulators are useful for safely learning control policies, the reality gap remains a major…

系统与控制 · 电气工程与系统科学 2026-05-14 Junya Ikemoto

The paper is concerned with a variant of the continuous-time finite state Markov game of control and stopping where both players can affect transition rates, while only one player can choose a stopping time. We use the dynamic programming…

最优化与控制 · 数学 2022-08-09 Yurii Averboukh

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

计算机科学与博弈论 · 计算机科学 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

We study the cooperative stochastic $k$-armed bandit problem, where a network of $m$ agents collaborate to find the optimal action. In contrast to most prior work on this problem, which focuses on extending a specific algorithm to the…

机器学习 · 计算机科学 2024-11-01 Benjamin Howson , Sarah Filippi , Ciara Pike-Burke

This paper discusses a scenario approach to robust optimization of a blackbox function in a bandit setting. We assume that the blackbox function can be modeled as a Gaussian Process (GP) for every realization of the uncertain parameter. We…

最优化与控制 · 数学 2018-05-01 Shaunak D. Bopardikar , Vaibhav Srivastava

This work studies an independent natural policy gradient (NPG) algorithm for the multi-agent reinforcement learning problem in Markov potential games. It is shown that, under mild technical assumptions and the introduction of the…

机器学习 · 计算机科学 2023-10-30 Youbang Sun , Tao Liu , Ruida Zhou , P. R. Kumar , Shahin Shahrampour

Online gradient descent (OGD) is well known to be doubly optimal under strong convexity or monotonicity assumptions: (1) in the single-agent setting, it achieves an optimal regret of $\Theta(\log T)$ for strongly convex cost functions; and…

计算机科学与博弈论 · 计算机科学 2024-04-01 Michael I. Jordan , Tianyi Lin , Zhengyuan Zhou

This paper studies the performative policy learning problem, where agents adjust their features in response to a released policy to improve their potential outcomes, inducing an endogenous distribution shift. There has been growing interest…

机器学习 · 计算机科学 2025-02-25 Qianyi Chen , Ying Chen , Bo Li

We consider learning in an adversarial Markov Decision Process (MDP) where the loss functions can change arbitrarily over $K$ episodes and the state space can be arbitrarily large. We assume that the Q-function of any policy is linear in…

机器学习 · 计算机科学 2023-06-05 Yan Dai , Haipeng Luo , Chen-Yu Wei , Julian Zimmert

Most existing results about \emph{last-iterate convergence} of learning dynamics are limited to two-player zero-sum games, and only apply under rigid assumptions about what dynamics the players follow. In this paper we provide new results…

计算机科学与博弈论 · 计算机科学 2022-03-24 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

Motivated by a number of real-world applications from domains like healthcare and sustainable transportation, in this paper we study a scenario of repeated principal-agent games within a multi-armed bandit (MAB) framework, where: the…

机器学习 · 计算机科学 2023-05-09 Ilgin Dogan , Zuo-Jun Max Shen , Anil Aswani

Fictitious play is an algorithm for computing Nash equilibria of matrix games. Recently, machine learning variants of fictitious play have been successfully applied to complicated real-world games. This paper presents a simple modification…

计算机科学与博弈论 · 计算机科学 2022-12-21 Alex Cloud , Albert Wang , Wesley Kerr

In this work, we investigate a security game between an attacker and a defender, originally proposed in \cite{emadi2019security}. As is well known, the combinatorial nature of security games leads to a large cost matrix. Therefore,…

计算机科学与博弈论 · 计算机科学 2020-07-30 HAmid Emadi , Sourabh Bhattacharya