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This paper tackles a multi-agent bandit setting where $M$ agents cooperate together to solve the same instance of a $K$-armed stochastic bandit problem. The agents are \textit{heterogeneous}: each agent has limited access to a local subset…

机器学习 · 计算机科学 2022-02-18 Lin Yang , Yu-zhen Janice Chen , Mohammad Hajiesmaili , John CS Lui , Don Towsley

We consider a combinatorial generalization of the classical multi-armed bandit problem that is defined as follows. There is a given bipartite graph of $M$ users and $N \geq M$ resources. For each user-resource pair $(i,j)$, there is an…

最优化与控制 · 数学 2015-03-17 Yi Gai , Bhaskar Krishnamachari , Mingyan Liu

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

计算机科学与博弈论 · 计算机科学 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

Multi-player multi-armed bandit is an increasingly relevant decision-making problem, motivated by applications to cognitive radio systems. Most research for this problem focuses exclusively on the settings that players have \textit{full…

机器学习 · 计算机科学 2022-12-14 Guojun Xiong , Jian Li

We study a novel multi-armed bandit problem that models the challenge faced by a company wishing to explore new strategies to maximize revenue whilst simultaneously maintaining their revenue above a fixed baseline, uniformly over time.…

机器学习 · 统计学 2016-02-16 Yifan Wu , Roshan Shariff , Tor Lattimore , Csaba Szepesvári

We study a sequential resource allocation problem between a fixed number of arms. On each iteration the algorithm distributes a resource among the arms in order to maximize the expected success rate. Allocating more of the resource to a…

机器学习 · 计算机科学 2018-03-29 Yuval Dagan , Koby Crammer

This paper introduces the first asymptotically optimal strategy for a multi armed bandit (MAB) model under side constraints. The side constraints model situations in which bandit activations are limited by the availability of certain…

机器学习 · 统计学 2025-02-10 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

The study of collaborative multi-agent bandits has attracted significant attention recently. In light of this, we initiate the study of a new collaborative setting, consisting of $N$ agents such that each agent is learning one of $M$…

机器学习 · 计算机科学 2024-07-04 Ronshee Chawla , Daniel Vial , Sanjay Shakkottai , R. Srikant

This paper considers a network of agents, where each agent is assumed to take actions optimally with respect to a predefined payoff function involving the latest actions of the agent's neighbors. Neighborhood relationships stem from payoff…

动力系统 · 数学 2021-01-19 Sadegh Arefizadeh , Sadjaad Ozgoli , Sadegh Bolouki , Tamer Başar

We study EgalMAB, an egalitarian assignment problem in the context of stochastic multi-armed bandits. In EgalMAB, an agent is tasked with assigning a set of users to arms. At each time step, the agent must assign exactly one arm to each…

机器学习 · 统计学 2024-10-10 Eugene Lim , Vincent Y. F. Tan , Harold Soh

This paper considers a distributed optimization problem in a multi-agent system where a fraction of the agents act in an adversarial manner. Specifically, the malicious agents steer the network of agents away from the optimal solution by…

最优化与控制 · 数学 2022-06-07 Iyanuoluwa Emiola , Chinwendu Enyioha

Multi-armed bandit algorithms provide solutions for sequential decision-making where learning takes place by interacting with the environment. In this work, we model a distributed optimization problem as a multi-agent kernelized multi-armed…

机器学习 · 计算机科学 2023-12-11 Ayush Rai , Shaoshuai Mou

This paper deals with solving distributed optimization problems with equality constraints by a class of uncertain nonlinear heterogeneous dynamic multi-agent systems. It is assumed that each agent with an uncertain dynamic model has limited…

系统与控制 · 电气工程与系统科学 2022-06-28 Mohammad Saeed Sarafraz , Mohammad Saleh Tavazoei

We propose an algorithm for non-stationary kernel bandits that does not require prior knowledge of the degree of non-stationarity. The algorithm follows randomized strategies obtained by solving optimization problems that balance…

机器学习 · 统计学 2023-02-21 Kihyuk Hong , Yuhang Li , Ambuj Tewari

In this paper, we study the problem of expected utility maximization of an agent who, in addition to an initial capital, receives random endowments at maturity. Contrary to previous studies, we treat as the variables of the optimization…

概率论 · 数学 2008-12-10 Julien Hugonnier , Dmitry Kramkov

Multi-agent systems are prevalent in a wide range of domains including power systems, vehicular networks, and robotics. Two important problems to solve in these types of systems are how the intentions of non-coordinating agents can be…

多智能体系统 · 计算机科学 2025-09-30 Benjamin Alcorn , Eman Hammad

We study an online resource allocation problem under uncertainty about demand and about the reward of each type of demand (agents) for the resource. Even though dealing with demand uncertainty in resource allocation problems has been the…

最优化与控制 · 数学 2022-10-11 Negin Gorlezaei , Patrick Jaillet , Zijie Zhou

Many scenarios where agents with restrictions compete for resources can be cast as maximum matching problems on bipartite graphs. Our focus is on resource allocation problems where agents may have restrictions that make them incompatible…

人工智能 · 计算机科学 2022-09-13 Yohai Trabelsi , Abhijin Adiga , Sarit Kraus , S. S. Ravi

We consider a multi-agent system in which a decentralized team of agents controls a stochastic system in the presence of an adversary. Instead of committing to a fixed information sharing protocol, the agents can strategically decide at…

系统与控制 · 电气工程与系统科学 2022-09-09 Dhruva Kartik , Sagar Sudhakara , Rahul Jain , Ashutosh Nayyar

The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

最优化与控制 · 数学 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum