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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

In this paper, we address the problem of a two-player linear quadratic differential game with incomplete information, a scenario commonly encountered in multi-agent control, human-robot interaction (HRI), and approximation methods for…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Seyed Yousef Soltanian , Wenlong Zhang

Machine learning algorithms often make decisions on behalf of agents with varied and sometimes conflicting interests. In domains where agents can choose to take their own action or delegate their action to a central mediator, an open…

Computer Science and Game Theory · Computer Science 2021-06-09 Stephen McAleer , John Lanier , Michael Dennis , Pierre Baldi , Roy Fox

We continue the study of welfare maximization in unit-demand (matching) markets, in a distributed information model where agent's valuations are unknown to the central planner, and therefore communication is required to determine an…

Computer Science and Game Theory · Computer Science 2015-04-09 Noga Alon , Noam Nisan , Ran Raz , Omri Weinstein

In this paper, we introduce the COmbinatorial Multi-Objective Multi-Armed Bandit (COMO-MAB) problem that captures the challenges of combinatorial and multi-objective online learning simultaneously. In this setting, the goal of the learner…

Machine Learning · Computer Science 2018-03-13 Doruk Öner , Altuğ Karakurt , Atilla Eryılmaz , Cem Tekin

In this paper, we consider the problem of black-box optimization with noisy feedback revealed in batches, where the unknown function to optimize has a bounded norm in some Reproducing Kernel Hilbert Space (RKHS). We refer to this as the…

Machine Learning · Statistics 2026-03-16 Chenkai Ma , Keqin Chen , Jonathan Scarlett

Under the uncoupled learning setup, the last-iterate convergence guarantee towards Nash equilibrium is shown to be impossible in many games. This work studies the last-iterate convergence guarantee in general games toward rationalizability,…

Computer Science and Game Theory · Computer Science 2023-12-27 Jibang Wu , Haifeng Xu , Fan Yao

In combinatorial semi-bandits, a learner repeatedly selects from a combinatorial decision set of arms, receives the realized sum of rewards, and observes the rewards of the individual selected arms as feedback. In this paper, we extend this…

Machine Learning · Computer Science 2025-09-17 Yuxiao Wen

Despite the significant interests and many progresses in decentralized multi-player multi-armed bandits (MP-MAB) problems in recent years, the regret gap to the natural centralized lower bound in the heterogeneous MP-MAB setting remains…

Machine Learning · Statistics 2021-11-02 Chengshuai Shi , Wei Xiong , Cong Shen , Jing Yang

We study a general class of dynamic games with asymmetric information where agents' beliefs are strategy dependent, i.e. signaling occurs. We show that the notion of sufficient information, introduced in the companion paper team, can be…

Multiagent Systems · Computer Science 2018-12-05 Hamidreza Tavafoghi , Yi Ouyang , Demosthenis Teneketzis

When multi-armed bandit (MAB) algorithms allocate pulls among competing arms, the resulting allocation can exhibit huge variation. This is particularly harmful in modern applications such as learning-enhanced platform operations and…

Machine Learning · Computer Science 2026-02-10 Yilun Chen , Jiaqi Lu

We study Stackelberg equilibria in finitely repeated games, where the leader commits to a strategy that picks actions in each round and can be adaptive to the history of play (i.e. they commit to an algorithm). In particular, we study…

Computer Science and Game Theory · Computer Science 2024-03-08 Natalie Collina , Eshwar Ram Arunachaleswaran , Michael Kearns

Byte-Pair Encoding (BPE) is a popular algorithm used for tokenizing data in NLP, despite being devised initially as a compression method. BPE appears to be a greedy algorithm at face value, but the underlying optimization problem that BPE…

Computation and Language · Computer Science 2024-09-04 Vilém Zouhar , Clara Meister , Juan Luis Gastaldi , Li Du , Tim Vieira , Mrinmaya Sachan , Ryan Cotterell

This paper presents a novel federated linear contextual bandits model, where individual clients face different $K$-armed stochastic bandits coupled through common global parameters. By leveraging the geometric structure of the linear…

Machine Learning · Statistics 2021-10-28 Ruiquan Huang , Weiqiang Wu , Jing Yang , Cong Shen

Development of guidance, navigation and control frameworks/algorithms for swarms attracted significant attention in recent years. That being said, algorithms for planning swarm allocations/trajectories for engaging with enemy swarms is…

Artificial Intelligence · Computer Science 2022-12-07 Umut Demir , A. Sadik Satir , Gulay Goktas Sever , Cansu Yikilmaz , Nazim Kemal Ure

In many technical fields, single-objective optimization procedures in continuous domains involve expensive numerical simulations. In this context, an improvement of the Artificial Bee Colony (ABC) algorithm, called the Artificial super-Bee…

Optimization and Control · Mathematics 2021-05-05 Enrico Ampellio , Luca Vassio

We study the problems of distributed online and bandit convex optimization against an adaptive adversary. We aim to minimize the average regret on $M$ machines working in parallel over $T$ rounds with $R$ intermittent communications.…

Machine Learning · Computer Science 2023-11-30 Kumar Kshitij Patel , Lingxiao Wang , Aadirupa Saha , Nati Sebro

We study strategy improvement algorithms for solving parity games. While these algorithms are known to solve parity games using a very small number of iterations, experimental studies have found that a high step complexity causes them to…

Data Structures and Algorithms · Computer Science 2017-05-08 John Fearnley

We study rational synthesis problems for concurrent games with omega-regular objectives. Our model of rationality considers only pure strategy Nash equilibria that satisfy either a social welfare or Pareto optimality condition with respect…

Computer Science and Game Theory · Computer Science 2025-09-23 Purandar Bhaduri

In this work, we study the problem of finding Pareto optimal policies in multi-agent reinforcement learning problems with cooperative reward structures. We show that any algorithm where each agent only optimizes their reward is subject to…

Machine Learning · Computer Science 2024-10-28 Bang Giang Le , Viet Cuong Ta