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Real world applications such as economics and policy making often involve solving multi-agent games with two unique features: (1) The agents are inherently asymmetric and partitioned into leaders and followers; (2) The agents have different…

机器学习 · 计算机科学 2021-11-04 Yu Bai , Chi Jin , Huan Wang , Caiming Xiong

In a Stackelberg game, a leader commits to a randomized strategy, and a follower chooses their best strategy in response. We consider an extension of a standard Stackelberg game, called a discrete-time dynamic Stackelberg game, that has an…

计算机科学与博弈论 · 计算机科学 2022-02-11 Niklas Lauffer , Mahsa Ghasemi , Abolfazl Hashemi , Yagiz Savas , Ufuk Topcu

When deployed in the world, a learning agent such as a recommender system or a chatbot often repeatedly interacts with another learning agent (such as a user) over time. In many such two-agent systems, each agent learns separately and the…

机器学习 · 计算机科学 2024-06-24 Kate Donahue , Nicole Immorlica , Meena Jagadeesan , Brendan Lucier , Aleksandrs Slivkins

We study the problem of online learning in a two-player decentralized cooperative Stackelberg game. In each round, the leader first takes an action, followed by the follower who takes their action after observing the leader's move. The goal…

机器学习 · 计算机科学 2023-04-13 Geng Zhao , Banghua Zhu , Jiantao Jiao , Michael I. Jordan

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

机器学习 · 计算机科学 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek

We study Stackelberg games where a principal repeatedly interacts with a non-myopic long-lived agent, without knowing the agent's payoff function. Although learning in Stackelberg games is well-understood when the agent is myopic, dealing…

计算机科学与博弈论 · 计算机科学 2025-05-29 Nika Haghtalab , Thodoris Lykouris , Sloan Nietert , Alexander Wei

Many real-world strategic games involve interactions between multiple players. We study a hierarchical multi-player game structure, where players with asymmetric roles can be separated into leaders and followers, a setting often referred to…

机器学习 · 计算机科学 2022-10-25 Yaolong Yu , Haifeng Xu , Haipeng Chen

We study the problem of online learning in Stackelberg games with side information between a leader and a sequence of followers. In every round the leader observes contextual information and commits to a mixed strategy, after which the…

We introduce the application of online learning in a Stackelberg game pertaining to a system with two learning agents in a dyadic exchange network, consisting of a supplier and retailer, specifically where the parameters of the demand…

计算工程、金融与科学 · 计算机科学 2024-10-15 Larkin Liu , Yuming Rong

We initiate the study of structured Stackelberg games, a novel form of strategic interaction between a leader and a follower where contextual information can be predictive of the follower's (unknown) type. Motivated by applications such as…

计算机科学与博弈论 · 计算机科学 2026-05-18 Maria-Florina Balcan , Kiriaki Fragkia , Keegan Harris

Modern machine learning increasingly leverages the insight that high-dimensional data often lie near low-dimensional, non-linear manifolds, an idea known as the manifold hypothesis. By explicitly modeling the geometric structure of data…

机器学习 · 计算机科学 2026-03-02 Willem Diepeveen , Deanna Needell

We consider a number of questions related to tradeoffs between reward and regret in repeated gameplay between two agents. To facilitate this, we introduce a notion of $\textit{generalized equilibrium}$ which allows for asymmetric regret…

计算机科学与博弈论 · 计算机科学 2023-12-19 William Brown , Jon Schneider , Kiran Vodrahalli

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

系统与控制 · 电气工程与系统科学 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

Guided cooperation allows intelligent agents with heterogeneous capabilities to work together by following a leader-follower type of interaction. However, the associated control problem becomes challenging when the leader agent does not…

系统与控制 · 电气工程与系统科学 2024-02-01 Yuhan Zhao , Quanyan Zhu

We consider a repeated sequential game between a learner, who plays first, and an opponent who responds to the chosen action. We seek to design strategies for the learner to successfully interact with the opponent. While most previous…

机器学习 · 计算机科学 2020-07-13 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

We study an online learning problem in general-sum Stackelberg games, where players act in a decentralized and strategic manner. We study two settings depending on the type of information for the follower: (1) the limited information…

机器学习 · 计算机科学 2025-05-06 Yaolong Yu , Haipeng Chen

This paper investigates the convergence of learning dynamics in Stackelberg games. In the class of games we consider, there is a hierarchical game being played between a leader and a follower with continuous action spaces. We establish a…

计算机科学与博弈论 · 计算机科学 2024-12-07 Tanner Fiez , Benjamin Chasnov , Lillian J. Ratliff

In this paper, we introduce a generalization of the standard Stackelberg Games (SGs) framework: Calibrated Stackelberg Games (CSGs). In CSGs, a principal repeatedly interacts with an agent who (contrary to standard SGs) does not have direct…

计算机科学与博弈论 · 计算机科学 2023-06-07 Nika Haghtalab , Chara Podimata , Kunhe Yang

Motivated by the question of how a principal can maximize its utility in repeated interactions with a learning agent, we study repeated games between an principal and an agent employing a mean-based learning algorithm. Prior work has shown…

计算机科学与博弈论 · 计算机科学 2025-10-28 Nivasini Ananthakrishnan , Yuval Dagan , Kunhe Yang

Optimizing strategic decisions (a.k.a. computing equilibrium) is key to the success of many non-cooperative multi-agent applications. However, in many real-world situations, we may face the exact opposite of this game-theoretic problem --…

计算机科学与博弈论 · 计算机科学 2022-10-05 Jibang Wu , Weiran Shen , Fei Fang , Haifeng Xu
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