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The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

计算机科学与博弈论 · 计算机科学 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

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 this paper, we consider a sequential stochastic Stackelberg game with two players, a leader and a follower. The follower has access to the state of the system while the leader does not. Assuming that the players act in their respective…

最优化与控制 · 数学 2021-02-08 Rajesh K Mishra , Deepanshu Vasal , Sriram Vishwanath

In this technical note, we consider the linear-quadratic time-inconsistent mean-field type leader-follower Stackelberg differential game with an adapted open-loop information structure. The objective functionals of the leader and the…

最优化与控制 · 数学 2019-11-12 Jun Moon , Hyun Jong Yang

There has been significant recent interest in leader-follower security games, where the leader dominates the decision process with the Stackelberg equilibrium (SE) strategy. However, such a leader-follower scheme may become invalid in…

计算机科学与博弈论 · 计算机科学 2022-10-31 Gehui Xu , Guanpu Chen , Zhaoyang Cheng , Yiguang Hong , Hongsheng Qi

In many settings of interest, a policy is set by one party, the leader, in order to influence the action of another party, the follower, where the follower's response is determined by some private information. A natural question to ask is,…

计算机科学与博弈论 · 计算机科学 2025-04-23 Michael Albert , Quinlan Dawkins , Minbiao Han , Haifeng Xu

Stackelberg equilibrium is a solution concept that describes optimal strategies to commit: Player 1 (the leader) first commits to a strategy that is publicly announced, then Player 2 (the follower) plays a best response to the leader's…

计算机科学与博弈论 · 计算机科学 2021-11-04 Aditya Aradhye , Branislav Bošanský , Michael Hlaváček

This paper is concerned with a Stackelberg game of backward stochastic differential equations (BSDEs) with partial information, where the information of the follower is a sub-$\sigma$-algebra of that of the leader. Necessary and sufficient…

最优化与控制 · 数学 2019-10-24 Yueyang Zheng , Jingtao Shi

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

This paper introduces the new concept of (follower) satisfaction in Stackelberg games and compares the standard Stackelberg game with its satisfaction version. Simulation results are presented which suggest that the follower adopting…

计算机科学与博弈论 · 计算机科学 2024-08-22 Langford White , Duong Nguyen , Hung Nguyen

In this paper, we present an efficient algorithm to solve online Stackelberg games, featuring multiple followers, in a follower-agnostic manner. Unlike previous works, our approach works even when leader has no knowledge about the…

最优化与控制 · 数学 2024-03-28 Chinmay Maheshwari , James Cheng , S. Shankar Sasty , Lillian Ratliff , Eric Mazumdar

The Stackelberg game depicts a leader-follower relationship wherein decisions are made sequentially, and the Stackelberg equilibrium represents an expected optimal solution when the leader can anticipate the rational response of the…

系统与控制 · 电气工程与系统科学 2024-01-17 Yue Chen , Peng Yi

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

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

We consider the problem of efficiently learning to play single-leader multi-follower Stackelberg games when the leader lacks knowledge of the lower-level game. Such games arise in hierarchical decision-making problems involving…

系统与控制 · 电气工程与系统科学 2025-12-11 Anna Maddux , Marko Maljkovic , Nikolas Geroliminis , Maryam Kamgarpour

This paper addresses a Stackelberg stochastic linear-quadratic (LQ) differential game under closed-loop information, a problem inherently time-inconsistent. Existing approaches rely on solving two coupled Hamilton-Jacobi-Bellman (HJB)…

最优化与控制 · 数学 2026-04-27 Qi Lü , Bowen Ma , Hanxiao Wang

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 address two-player general-sum stochastic Stackelberg games (SSGs), where the leader's policy is optimized considering the best-response follower whose policy is optimal for its reward under the leader. Existing policy gradient and value…

计算机科学与博弈论 · 计算机科学 2026-03-17 Mikoto Kudo , Youhei Akimoto

This paper is concerned with a two-person zero-sum indefinite stochastic linear-quadratic Stackelberg differential game with asymmetric informational uncertainties, where both the leader and follower face different and unknown disturbances.…

最优化与控制 · 数学 2024-07-09 Na Xiang , Jingtao Shi
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