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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

Recent results in the ML community have revealed that learning algorithms used to compute the optimal strategy for the leader to commit to in a Stackelberg game, are susceptible to manipulation by the follower. Such a learning algorithm…

Information uncertainty is one of the major challenges facing applications of game theory. In the context of Stackelberg games, various approaches have been proposed to deal with the leader's incomplete knowledge about the follower's…

计算机科学与博弈论 · 计算机科学 2019-05-21 Jiarui Gan , Haifeng Xu , Qingyu Guo , Long Tran-Thanh , Zinovi Rabinovich , Michael Wooldridge

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 payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

计算机科学与博弈论 · 计算机科学 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

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

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

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

机器学习 · 计算机科学 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan

We study a continuous-time stochastic Stackelberg game in which a leader seeks to accomplish a primary objective while inferring a hidden parameter of a rational follower. The follower solves an entropy-regularized tracking problem and…

最优化与控制 · 数学 2025-10-08 Ruimeng Hu , Daniel Ralston , Xu Yang , Haosheng Zhou

We introduce a reinforcement learning framework for economic design where the interaction between the environment designer and the participants is modeled as a Stackelberg game. In this game, the designer (leader) sets up the rules of the…

计算机科学与博弈论 · 计算机科学 2024-07-22 Gianluca Brero , Alon Eden , Darshan Chakrabarti , Matthias Gerstgrasser , Amy Greenwald , Vincent Li , David C. Parkes

A Stackelberg game is played between a leader and a follower. The leader first chooses an action, then the follower plays his best response. The goal of the leader is to pick the action that will maximize his payoff given the follower's…

数据结构与算法 · 计算机科学 2015-11-19 Aaron Roth , Jonathan Ullman , Zhiwei Steven Wu

Dynamic Stackelberg games are a broad class of two-player games in which the leader acts first, and the follower chooses a response strategy to the leader's strategy. Unfortunately, only stylized Stackelberg games are explicitly solvable…

最优化与控制 · 数学 2024-11-15 Guillermo Alvarez , Ibrahim Ekren , Anastasis Kratsios , Xuwei Yang

Stackelberg games have been widely used to model interactive decision-making problems in a variety of domains such as energy systems, transportation, cybersecurity, and human-robot interaction. However, existing algorithms for solving…

最优化与控制 · 数学 2023-03-14 Yansong Li , Shuo Han

When interacting with other decision-making agents in non-adversarial scenarios, it is critical for an autonomous agent to have inferable behavior: The agent's actions must convey their intention and strategy. We model the inferability…

计算机科学与博弈论 · 计算机科学 2025-06-03 Mustafa O. Karabag , Sophia Smith , Negar Mehr , David Fridovich-Keil , Ufuk Topcu

Machine learning systems have been widely used to make decisions about individuals who may behave strategically to receive favorable outcomes, e.g., they may genuinely improve the true labels or manipulate observable features directly to…

人工智能 · 计算机科学 2024-10-30 Tian Xie , Zhiqun Zuo , Mohammad Mahdi Khalili , Xueru Zhang

In a multi-follower Bayesian Stackelberg game, a leader plays a mixed strategy over $L$ actions to which $n\ge 1$ followers, each having one of $K$ possible private types, best respond. The leader's optimal strategy depends on the…

计算机科学与博弈论 · 计算机科学 2026-03-03 Gerson Personnat , Tao Lin , Safwan Hossain , David C. Parkes

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

Game-theoretic inverse learning is the problem of inferring a player's objectives from their actions. We formulate an inverse learning problem in a Stackelberg game between a leader and a follower, where each player's action is the…

计算机科学与博弈论 · 计算机科学 2024-10-15 William Ward , Yue Yu , Jacob Levy , Negar Mehr , David Fridovich-Keil , Ufuk Topcu

When learning in strategic environments, a key question is whether agents can overcome uncertainty about their preferences to achieve outcomes they could have achieved absent any uncertainty. Can they do this solely through interactions…

计算机科学与博弈论 · 计算机科学 2024-11-21 Nivasini Ananthakrishnan , Nika Haghtalab , Chara Podimata , Kunhe Yang

Trajectory guidance requires a leader robotic agent to assist a follower robotic agent to cooperatively reach the target destination. However, planning cooperation becomes difficult when the leader serves a family of different followers and…

机器人学 · 计算机科学 2024-03-19 Yuhan Zhao , Quanyan Zhu
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