English
Related papers

Related papers: Zeroth-Order Stackelberg Control in Combinatorial …

200 papers

This contribution deals with a two-level discrete decision problem, a so-called Stackelberg strategic game: A Subset Sum setting is addressed with a set $N$ of items with given integer weights. One distinguished player, the leader, may…

Discrete Mathematics · Computer Science 2018-01-12 Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

We present a Stackelberg game model to investigate how individuals make their decisions on timing and route selection. Group formation can naturally result from these decisions, but only when individuals arrive at the same time and choose…

Computer Science and Game Theory · Computer Science 2025-08-26 Chenlan Wang , Mingyan Liu

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…

Systems and Control · Electrical Eng. & Systems 2024-02-01 Yuhan Zhao , Quanyan Zhu

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

This paper is concerned with a linear-quadratic partially observed Stackelberg stochastic differential game with correlated state and observation noises, where the diffusion coefficient does not contain the control variable and the control…

Optimization and Control · Mathematics 2021-05-25 Yueyang Zheng , Jingtao Shi

We consider the Bilevel Knapsack with Interdiction Constraints, an extension of the classic 0-1 knapsack problem formulated as a Stackelberg game with two agents, a leader and a follower, that choose items from a common set and hold their…

Computer Science and Game Theory · Computer Science 2018-11-13 Federico Della Croce , Rosario Scatamacchia

In this paper we propose a dynamic Stackelberg game-theoretic model for urban freight transportation planning which is able to characterize the interaction between freight and personal transportation in an urban area. The problem is…

Optimization and Control · Mathematics 2012-11-21 Bo Zhang , Tao Yao , Terry L. Friesz , Hongcheng Liu

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…

Robotics · Computer Science 2024-03-19 Yuhan Zhao , Quanyan Zhu

In this paper we consider the application of Stackelberg game theory to model discretionary lane-changing in lightly congested highway setting. The fundamental intent of this model, which is parameterized to capture driver disposition…

Computer Science and Game Theory · Computer Science 2020-03-24 Jehong Yoo , Reza Langari

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…

Computer Science and Game Theory · Computer Science 2021-11-04 Aditya Aradhye , Branislav Bošanský , Michael Hlaváček

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi

We study a two-player Stackelberg game with incomplete information such that the follower's strategy belongs to a known family of parameterized functions with an unknown parameter vector. We design an adaptive learning approach to…

Computer Science and Game Theory · Computer Science 2021-01-12 Guosong Yang , Radha Poovendran , João P. Hespanha

We study a bilevel optimization problem which is a zero-sum Stackelberg game. In this problem, there are two players, a leader and a follower, who pick items from a common set. Both the leader and the follower have their own…

Data Structures and Algorithms · Computer Science 2022-04-26 Lin Chen , Xiaoyu Wu , Guochuan Zhang

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…

Optimization and Control · Mathematics 2019-11-12 Jun Moon , Hyun Jong Yang

We consider autonomous racing of two cars and present an approach to formulate racing decisions as a non-cooperative non-zero-sum game. We design three different games where the players aim to fulfill static track constraints as well as…

Optimization and Control · Mathematics 2019-01-11 Alexander Liniger , John Lygeros

Min-max optimization problems (i.e., min-max games) have attracted a great deal of attention recently as their applicability to a wide range of machine learning problems has become evident. In this paper, we study min-max games with…

Computer Science and Game Theory · Computer Science 2022-08-23 Denizalp Goktas , Amy Greenwald

We investigate a co-design problem, encompassing simultaneous design of system infrastructure and control, through a game-theoretical framework. To this end, we propose the co-design problem as a two-layer hierarchical strategic…

Systems and Control · Electrical Eng. & Systems 2025-08-18 Julian Barreiro-Gomez , Ye Wang

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societally relevant applications in networked infrastructure…

Optimization and Control · Mathematics 2025-10-29 Samuel Talkington , Dmitrii M. Ostrovskii , Daniel K. Molzahn

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…

Machine Learning · Computer Science 2023-04-13 Geng Zhao , Banghua Zhu , Jiantao Jiao , Michael I. Jordan

In this study, we explore the application of game theory, in particular Stackelberg games, to address the issue of effective coordination strategy generation for heterogeneous robots with one-way communication. To that end, focusing on the…

Robotics · Computer Science 2023-08-01 Yuhan Zhao , Baichuan Huang , Jingjin Yu , Quanyan Zhu