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Many autonomous agents, such as intelligent vehicles, are inherently required to interact with one another. Game theory provides a natural mathematical tool for robot motion planning in such interactive settings. However, tractable…

Robotics · Computer Science 2023-03-23 Xinjie Liu , Lasse Peters , Javier Alonso-Mora

We revisit a one-step control problem over an adversarial packet-dropping link. The link is modeled as a set of binary channels controlled by a strategic jammer whose intention is to wage a `denial of service' attack on the plant by…

Systems and Control · Computer Science 2014-03-25 V. Ugrinovskii , C. Langbort

Learning algorithms are essential for the applications of game theory in a networking environment. In dynamic and decentralized settings where the traffic, topology and channel states may vary over time and the communication between agents…

Machine Learning · Computer Science 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar

In this paper, we consider the infinite-horizon reach-avoid zero-sum game problem, where the goal is to find a set in the state space, referred to as the reach-avoid set, such that the system starting at a state therein could be controlled…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Jingqi Li , Donggun Lee , Somayeh Sojoudi , Claire J. Tomlin

We study a class of zero-sum games between a singular-controller and a stopper over finite-time horizon. The underlying process is a multi-dimensional (locally non-degenerate) controlled stochastic differential equation (SDE) evolving in an…

Optimization and Control · Mathematics 2023-10-31 Andrea Bovo , Tiziano De Angelis , Elena Issoglio

We study two-player security games which can be viewed as sequences of nonzero-sum matrix games played by an Attacker and a Defender. The evolution of the game is based on a stochastic fictitious play process. Players do not have access to…

Computer Science and Game Theory · Computer Science 2010-03-16 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

Dynamic games arise when multiple agents with differing objectives choose control inputs to a dynamic system. Dynamic games model a wide variety of applications in economics, defense, and energy systems. However, compared to single-agent…

Optimization and Control · Mathematics 2018-09-25 Bolei Di , Andrew Lamperski

This paper seeks to combine differential game theory with the actor-critic-identifier architecture to determine forward-in-time, approximate optimal controllers for formation tracking in multi-agent systems, where the agents have uncertain…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Justin R. Klotz , Patrick Walters , Warren E. Dixon

We present a model for layered security with applications to the protection of sites such as stadiums or large gathering places. We formulate the problem as one of maximizing the capture of illegal contraband. The objective function is…

Other Computer Science · Computer Science 2022-04-20 Tsvetan Asamov , Emre Yamangil , Endre Boros , Paul Kantor , Fred Roberts

Autonomous drone racing in complex environments requires agile, high-speed flight while maintaining reliable obstacle avoidance. Differentiable-physics-based policy learning has recently demonstrated high sample efficiency and remarkable…

Robotics · Computer Science 2026-03-10 Yang Su , Feng Yu , Yu Hu , Xinze Niu , Linzuo Zhang , Fangyu Sun , Danping Zou

Vehicle-to-vehicle communication enables autonomous platoons to boost traffic efficiency and safety, while ensuring string stability with a constant spacing policy. However, communication-based controllers are susceptible to a range of…

Computer Science and Game Theory · Computer Science 2021-09-30 Guoxin Sun , Tansu Alpcan , Benjamin I. P. Rubinstein , Seyit Camtepe

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

This work studies a dynamic, adversarial resource allocation problem in environments modeled as graphs. A blue team of defender robots are deployed in the environment to protect the nodes from a red team of attacker robots. We formulate the…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar

Generating competitive strategies and performing continuous motion planning simultaneously in an adversarial setting is a challenging problem. In addition, understanding the intent of other agents is crucial to deploying autonomous systems…

Robotics · Computer Science 2025-06-17 Hongrui Zheng , Zhijun Zhuang , Stephanie Wu , Shuo Yang , Rahul Mangharam

Anomaly detection is a method for discovering unusual and suspicious behavior. In many real-world scenarios, the examined events can be directly linked to the actions of an adversary, such as attacks on computer networks or frauds in…

Machine Learning · Computer Science 2020-04-23 Olga Petrova , Karel Durkota , Galina Alperovich , Karel Horak , Michal Najman , Branislav Bosansky , Viliam Lisy

This paper presents a three dimensional collision avoidance approach for aerial vehicles inspired by coordinated behaviors in biological groups. The proposed strategy aims to enable a group of vehicles to converge to a common destination…

Dynamical Systems · Mathematics 2017-08-02 Céline Parzani , Francis Filbet

In the present work, we consider 2-person zero-sum stochastic differential games with a nonlinear pay-off functional which is defined through a backward stochastic differential equation. Our main objective is to study for such a game the…

Probability · Mathematics 2014-07-29 Rainer Buckdahn , Juan Li , Marc Quincampoix

Autonomous vehicles are suited for continuous area patrolling problems. Finding an optimal patrolling strategy can be challenging due to unknown environmental factors, such as wind or landscape; or autonomous vehicles' constraints, such as…

Robotics · Computer Science 2024-02-19 Chenhao Tong , Maria A. Rodriguez , Richard O. Sinnott

The paper is concerned with a zero-sum differential game in the case where a payoff is determined by the exit time, that is, the first time when the system leaves the game domain. Additionally, we assume that a part of domain's boundary is…

Optimization and Control · Mathematics 2024-05-02 Ekaterina Kolpakova

An insider is a team member who covertly deviates from the team's optimal collaborative strategy to pursue a private objective while still appearing cooperative. Such an insider may initially behave cooperatively but later switch to selfish…

Optimization and Control · Mathematics 2026-04-01 Gehui Xu , Kaiwen Chen , Zhong-Ping Jiang , Thomas Parisini , Andreas A. Malikopoulos