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Related papers: An Introduction to Pursuit-evasion Differential Ga…

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This paper investigates the difference between the circular and elliptical cases in one-on-one pursuit and evasion problems. Using the simultaneous differential equation derived by Barton and Eliezer, we derive a dynamical system based on…

Optimization and Control · Mathematics 2026-05-25 Sota Yoshihara

One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The…

Networking and Internet Architecture · Computer Science 2013-05-14 François Mériaux , Samson Lasaulce , Hamidou Tembine

We study a finite-horizon differential game of pursuit-evasion like, between a single player and a mass of agents. The player and the mass directly control their own evolution, which for the mass is given by a first order PDE of transport…

Optimization and Control · Mathematics 2025-02-28 Fabio Bagagiolo , Rossana Capuani , Luciano Marzufero

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

Computer Science and Game Theory · Computer Science 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

This paper addresses the active target defense differential game where an Attacker missile pursues a Target aircraft. A Defender missile is fired by the Target's wingman in order to intercept the Attacker before it reaches the aircraft.…

Optimization and Control · Mathematics 2015-02-11 Eloy Garcia , David W. Casbeer , Meir Pachter

In this paper, we propose a game-theoretical framework to investigate advanced persistent threat problems with two types of insider threats: malicious and inadvertent. Within this framework, a unified three-player game is established and…

Optimization and Control · Mathematics 2022-09-20 Ziqin Chen , Guanpu Chen , Yiguang Hong

In society, mutual cooperation, defection, and asymmetric exploitative relationships are common. Whereas cooperation and defection are studied extensively in the literature on game theory, asymmetric exploitative relationships between…

Optimization and Control · Mathematics 2019-11-13 Yuma Fujimoto , Kunihiko Kaneko

AI algorithms that identify maneuvers from trajectory data could play an important role in improving flight safety and pilot training. AI challenges allow diverse teams to work together to solve hard problems and are an effective tool for…

Artificial Intelligence · Computer Science 2021-12-17 Kaira Samuel , Vijay Gadepally , David Jacobs , Michael Jones , Kyle McAlpin , Kyle Palko , Ben Paulk , Sid Samsi , Ho Chit Siu , Charles Yee , Jeremy Kepner

We consider a scenario where a team of two unmanned aerial vehicles (UAVs) pursue an evader UAV within an urban environment. Each agent has a limited view of their environment where buildings can occlude their field-of-view. Additionally,…

Multiagent Systems · Computer Science 2025-11-13 Addison Kalanther , Daniel Bostwick , Chinmay Maheshwari , Shankar Sastry

This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the…

Optimization and Control · Mathematics 2020-06-09 Eloy Garcia , David W. Casbeer , Meir Pachter

Game-based interactive driving simulations have emerged as versatile platforms for advancing decision-making algorithms in road transport mobility. While these environments offer safe, scalable, and engaging settings for testing driving…

Robotics · Computer Science 2025-09-09 Zhihao Lin , Zhen Tian

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

Securing dynamic networks against adversarial actions is challenging because of the need to anticipate and counter strategic disruptions by adversarial entities within complex network structures. Traditional game-theoretic models, while…

Computational Complexity · Computer Science 2023-12-21 Dhananjay Raju , Georgios Bakirtzis , Ufuk Topcu

Procedures of the short-term predictions for processes in general 2-person differential interactive games are proposed. Their effectiveness is discussed.

History and Overview · Mathematics 2007-05-23 Denis V. Juriev

In a noncooperative dynamic game, multiple agents operating in a changing environment aim to optimize their utilities over an infinite time horizon. Time-varying environments allow to model more realistic scenarios (e.g., mobile devices…

Systems and Control · Computer Science 2015-12-29 Santiago Zazo , Sergio Valcarcel Macua , Matilde Sánchez-Fernández , Javier Zazo

Tracking the solution of time-varying variational inequalities is an important problem with applications in game theory, optimization, and machine learning. Existing work considers time-varying games or time-varying optimization problems.…

Computer Science and Game Theory · Computer Science 2026-03-05 Hédi Hadiji , Sarah Sachs , Cristóbal Guzmán

A conflict between rational and autonomous agents is considered. The paper addresses a differential game of protecting a target in the 3-D space. This problem highlights the strong correlation between the highly dynamic scenario, the…

Optimization and Control · Mathematics 2022-02-07 Eloy Garcia , Isaac Weintraub , David W. Casbeer , Meir Pachter

The extension of a conflict control problem with infinite horizon is constructed. This extension is the projective limit of restricted games. Relations between "sensitivity to target set" and the existence of the optimal control are…

Optimization and Control · Mathematics 2010-12-17 Dmitry Khlopin

An operational relevant conflict between teams of autonomous vehicles in the Beyond Visual Range domain is addressed in this paper. Optimal strategies are designed in order for a team of air interceptors to protect a high value asset and…

Optimization and Control · Mathematics 2020-09-23 Eloy Garcia , David W. Casbeer , Dzung Tran , Meir Pachter

Nowadays, intrusion detection systems based on deep learning deliver state-of-the-art performance. However, recent research has shown that specially crafted perturbations, called adversarial examples, are capable of significantly reducing…

Cryptography and Security · Computer Science 2022-10-31 Islam Debicha , Richard Bauwens , Thibault Debatty , Jean-Michel Dricot , Tayeb Kenaza , Wim Mees