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We study a repeated game between a supplier and a retailer who want to maximize their respective profits without full knowledge of the problem parameters. After characterizing the uniqueness of the Stackelberg equilibrium of the stage game…

Computer Science and Game Theory · Computer Science 2022-07-12 Nicolò Cesa-Bianchi , Tommaso Cesari , Takayuki Osogami , Marco Scarsini , Segev Wasserkrug

We study cooperative online learning in stochastic and adversarial Markov decision process (MDP). That is, in each episode, $m$ agents interact with an MDP simultaneously and share information in order to minimize their individual regret.…

Machine Learning · Computer Science 2022-09-02 Tal Lancewicki , Aviv Rosenberg , Yishay Mansour

We study preference learning through recommendations in multi-agent game settings, where a moderator repeatedly interacts with agents whose utility functions are unknown. In each round, the moderator issues action recommendations and…

Computer Science and Game Theory · Computer Science 2026-03-06 Arwa Alanqary , Zakaria Baba , Manxi Wu , Alexandre M. Bayen

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

Machine Learning · Computer Science 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

The online meta-learning framework has arisen as a powerful tool for the continual lifelong learning setting. The goal for an agent is to quickly learn new tasks by drawing on prior experience, while it faces with tasks one after another.…

Machine Learning · Computer Science 2021-09-30 Parvin Nazari , Esmaile Khorram

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…

Computer Science and Game Theory · Computer Science 2022-07-05 Anthony DiGiovanni , Ambuj Tewari

Constituents of complex systems interact with each other and self-organize to form complex networks. Empirical results show that the link formation process of many real networks follows either the global principle of popularity or the local…

Physics and Society · Physics 2016-01-19 Wen-Jie Xie , Ming-Xia Li , Zhi-Qiang Jiang , Qun-Zhao Tan , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

We propose a framework which generalizes "decision making with structured observations" by allowing robust (i.e. multivalued) models. In this framework, each model associates each decision with a convex set of probability distributions over…

Machine Learning · Computer Science 2025-06-27 Alexander Appel , Vanessa Kosoy

We investigate multi-round team competitions between two teams, where each team selects one of its players simultaneously in each round and each player can play at most once. The competition defines an extensive-form game with perfect…

Computer Science and Game Theory · Computer Science 2016-02-25 Kai Jin , Pingzhong Tang , Shiteng Chen

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

We consider a scheduling problem where a cloud service provider has multiple units of a resource available over time. Selfish clients submit jobs, each with an arrival time, deadline, length, and value. The service provider's goal is to…

Computer Science and Game Theory · Computer Science 2017-03-03 Shuchi Chawla , Nikhil Devanur , Janardhan Kulkarni , Rad Niazadeh

Non-stationary online learning has drawn much attention in recent years. In particular, dynamic regret and adaptive regret are proposed as two principled performance measures for online convex optimization in non-stationary environments. To…

Machine Learning · Computer Science 2025-09-10 Peng Zhao , Yan-Feng Xie , Lijun Zhang , Zhi-Hua Zhou

This work focuses on the setting of dynamic regret in the context of online learning with full information. In particular, we analyze regret bounds with respect to the temporal variability of the loss functions. By assuming that the…

Machine Learning · Computer Science 2021-02-16 Nicolò Campolongo , Francesco Orabona

Online learning algorithms are designed to learn even when their input is generated by an adversary. The widely-accepted formal definition of an online algorithm's ability to learn is the game-theoretic notion of regret. We argue that the…

Machine Learning · Computer Science 2012-07-03 Raman Arora , Ofer Dekel , Ambuj Tewari

We consider a variant of the classical online linear optimization problem in which at every step, the online player receives a "hint" vector before choosing the action for that round. Rather surprisingly, it was shown that if the hint…

Machine Learning · Computer Science 2020-10-05 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

In this paper, we study cooperative multi-agent reinforcement learning (MARL) where the joint reward exhibits submodularity, which is a natural property capturing diminishing marginal returns when adding agents to a team. Unlike standard…

Machine Learning · Computer Science 2026-03-10 Wenjing Chen , Chengyuan Qian , Shuo Xing , Yi Zhou , Victoria Crawford

We consider a group of strategic agents who must each repeatedly take one of two possible actions. They learn which of the two actions is preferable from initial private signals, and by observing the actions of their neighbors in a social…

Computer Science and Game Theory · Computer Science 2018-07-27 Elchanan Mossel , Allan Sly , Omer Tamuz

A rich class of mechanism design problems can be understood as incomplete-information games between a principal who commits to a policy and an agent who responds, with payoffs determined by an unknown state of the world. Traditionally,…

Theoretical Economics · Economics 2020-09-14 Modibo Camara , Jason Hartline , Aleck Johnsen

We consider a linear stochastic bandit problem involving $M$ agents that can collaborate via a central server to minimize regret. A fraction $\alpha$ of these agents are adversarial and can act arbitrarily, leading to the following tension:…

Machine Learning · Computer Science 2022-06-08 Aritra Mitra , Arman Adibi , George J. Pappas , Hamed Hassani

We study coalition formation in the framework of fractional hedonic games (FHGs). The objective is to maximize social welfare in an online model where agents arrive one by one and must be assigned to coalitions immediately and irrevocably.…

Computer Science and Game Theory · Computer Science 2025-10-22 Martin Bullinger , René Romen , Alexander Schlenga