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Regret in stochastic multi-armed bandits traditionally measures the difference between the highest reward and either the arithmetic mean of accumulated rewards or the final reward. These conventional metrics often fail to address fairness…

Machine Learning · Computer Science 2025-10-27 Dhruv Sarkar , Nishant Pandey , Sayak Ray Chowdhury

We propose a multi-agent variant of the classical multi-armed bandit problem, in which there are $N$ agents and $K$ arms, and pulling an arm generates a (possibly different) stochastic reward for each agent. Unlike the classical multi-armed…

Computer Science and Game Theory · Computer Science 2021-02-25 Safwan Hossain , Evi Micha , Nisarg Shah

Model misspecification is a major consideration in applications of statistical methods and machine learning. However, it is often neglected in contextual bandits. This paper studies a common form of misspecification, an inter-arm…

Machine Learning · Computer Science 2022-10-27 Rong Zhu , Branislav Kveton

A sensing policy for the restless multi-armed bandit problem with stationary but unknown reward distributions is proposed. The work is presented in the context of cognitive radios in which the bandit problem arises when deciding which parts…

Information Theory · Computer Science 2012-11-20 Jan Oksanen , Visa Koivunen , H. Vincent Poor

This paper investigates the problem of best arm identification in $\textit{contaminated}$ stochastic multi-arm bandits. In this setting, the rewards obtained from any arm are replaced by samples from an adversarial model with probability…

Machine Learning · Computer Science 2021-11-16 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

Multi-armed bandit (MAB) is a class of online learning problems where a learning agent aims to maximize its expected cumulative reward while repeatedly selecting to pull arms with unknown reward distributions. We consider a scenario where…

Machine Learning · Statistics 2019-01-25 Yang Cao , Zheng Wen , Branislav Kveton , Yao Xie

Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

Machine Learning · Computer Science 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

We study the stochastic Multi-Armed Bandit (MAB) problem with random delays in the feedback received by the algorithm. We consider two settings: the reward-dependent delay setting, where realized delays may depend on the stochastic rewards,…

Machine Learning · Computer Science 2021-06-07 Tal Lancewicki , Shahar Segal , Tomer Koren , Yishay Mansour

We study a grouped bandit setting where each arm comprises multiple independent sub-arms referred to as attributes. Each attribute of each arm has an independent stochastic reward. We impose the constraint that for an arm to be deemed…

Machine Learning · Computer Science 2024-12-12 Sahil Dharod , Malyala Preethi Sravani , Sakshi Heda , Sharayu Moharir

We consider a sequential multi-task problem, where each task is modeled as the stochastic multi-armed bandit with K arms. We assume the bandit tasks are adjacently similar in the sense that the difference between the mean rewards of the…

Machine Learning · Computer Science 2025-03-14 NR Rahul , Vaibhav Katewa

Algorithms for the Multi-Armed Bandit (MAB) problem play a central role in sequential decision-making and have been extensively explored both theoretically and numerically. While most classical approaches aim to identify the arm with the…

Machine Learning · Computer Science 2026-04-02 Gabriel Turinici

The multi-armed bandits (MAB) framework is a widely used approach for sequential decision-making, where a decision-maker selects an arm in each round with the goal of maximizing long-term rewards. In many practical applications, such as…

Machine Learning · Statistics 2026-05-21 Sakshi Arya , Hyebin Song

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…

Machine Learning · Computer Science 2023-05-09 Ilgin Dogan , Zuo-Jun Max Shen , Anil Aswani

Humans possess innate collaborative capacities. However, effective teamwork often remains challenging. This study delves into the feasibility of collaboration within teams of rational, self-interested agents who engage in teamwork without…

Multiagent Systems · Computer Science 2024-09-27 Alejandra López de Aberasturi Gómez , Carles Sierra , Jordi Sabater-Mir

Contextual bandit algorithms have become widely used for recommendation in online systems (e.g. marketplaces, music streaming, news), where they now wield substantial influence on which items get exposed to the users. This raises questions…

Machine Learning · Computer Science 2021-09-14 Lequn Wang , Yiwei Bai , Wen Sun , Thorsten Joachims

We investigate the problem of maximizing social welfare while ensuring fairness in a multi-agent multi-armed bandit (MA-MAB) setting. In this problem, a centralized decision-maker takes actions over time, generating random rewards for…

Machine Learning · Computer Science 2025-06-23 Piyushi Manupriya , Himanshu , SakethaNath Jagarlapudi , Ganesh Ghalme

This paper introduces a general multi-agent bandit model in which each agent is facing a finite set of arms and may communicate with other agents through a central controller in order to identify, in pure exploration, or play, in regret…

Machine Learning · Computer Science 2022-10-31 Clémence Réda , Sattar Vakili , Emilie Kaufmann

We study a distributed stochastic multi-armed bandit where a client supplies the learner with communication-constrained feedback based on the rewards for the corresponding arm pulls. In our setup, the client must encode the rewards such…

Machine Learning · Computer Science 2023-06-07 Prathamesh Mayekar , Jonathan Scarlett , Vincent Y. F. Tan

Motivated by cognitive radio networks, we consider the stochastic multiplayer multi-armed bandit problem, where several players pull arms simultaneously and collisions occur if one of them is pulled by several players at the same stage. We…

Machine Learning · Computer Science 2019-11-20 Etienne Boursier , Vianney Perchet

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

Optimization and Control · Mathematics 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied
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