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We introduce the study of search games between a mobile Searcher and an immobile Hider in a new setting in which the Searcher has some potentially erroneous information, i.e., a prediction on the Hider's position. The objective is to…

Computer Science and Game Theory · Computer Science 2024-09-05 Spyros Angelopoulos , Thomas Lidbetter , Konstantinos Panagiotou

A qualitative criterion for a pursuer to intercept a target in a class of differential games is obtained in terms of \emph{future cones}: Topological cones that contain all attainable trajectories of target or interceptor originating from…

Optimization and Control · Mathematics 2013-12-18 J. A. Morgan

We introduce a problem set-up we call the Iterated Matching Pennies (IMP) game and show that it is a powerful framework for the study of three problems: adversarial learnability, conventional (i.e., non-adversarial) learnability and…

Logic in Computer Science · Computer Science 2016-02-10 Michael Brand , David L. Dowe

In active visual tracking, it is notoriously difficult when distracting objects appear, as distractors often mislead the tracker by occluding the target or bringing a confusing appearance. To address this issue, we propose a mixed…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Fangwei Zhong , Peng Sun , Wenhan Luo , Tingyun Yan , Yizhou Wang

This paper studies a variant of the multi-player reach-avoid game played between intruders and defenders with applications to perimeter defense. The intruder team tries to score by sending as many intruders as possible to the target area,…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Daigo Shishika , James Paulos , Vijay Kumar

This paper develops an analytical strategy for solving the linear quadratic pursuit-evasion game in arbitrary Keplerian reference orbits. The motion of the pursuer and evader is described using the controlled Tschauner-Hempel equations, and…

Optimization and Control · Mathematics 2026-02-02 Shuyue Fu , Shengping Gong , Peng Shi

The iterated prisoner's dilemma is a game that produces many counter-intuitive and complex behaviors in a social environment, based on very simple basic rules. It illustrates that cooperation can be a good thing even in a competitive world,…

Computer Science and Game Theory · Computer Science 2020-09-07 Robert Prentner

We consider linear search for an escaping target whose speed and initial position are unknown to the searcher. A searcher (an autonomous mobile agent) is initially placed at the origin of the real line and can move with maximum speed $1$ in…

Discrete Mathematics · Computer Science 2024-04-24 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He

In the Target-Attacker-Defender (TAD) differential game, an Attacker missile strives to capture a Target aircraft. The Target tries to escape the Attacker and is aided by a Defender missile which aims at intercepting the Attacker before the…

Optimization and Control · Mathematics 2020-02-12 Eloy Garcia , David W. Casbeer , Meir Pachter

The problem is area-restricted search for targets using an autonomous mobile sensing platform. Detection is imperfect: the probability of detection depends on the range to the target, while the probability of false detections is non-zero.…

Information Theory · Computer Science 2019-11-12 Branko Ristic , Alex Skvortsov

This paper presents a multiplayer Homicidal Chauffeur reach-avoid differential game, which involves Dubins-car pursuers and simple-motion evaders. The goal of the pursuers is to cooperatively protect a planar convex region from the evaders,…

Systems and Control · Electrical Eng. & Systems 2023-12-25 Rui Yan , Xiaoming Duan , Rui Zou , Xin He , Zongying Shi , Francesco Bullo

Robots and autonomous systems must interact with one another and their environment to provide high-quality services to their users. Dynamic game theory provides an expressive theoretical framework for modeling scenarios involving multiple…

In this paper, we present a game-theoretic feedback terminal guidance law for an autonomous, unpowered hypersonic pursuit vehicle that seeks to intercept an evading ground target whose motion is constrained in a one-dimensional space. We…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Yoonjae Lee , Efstathios Bakolas , Maruthi R. Akella

In this paper we investigate the problem of designing a spectrum scanning strategy to detect an intelligent Invader who wants to utilize spectrum undetected for his/her unapproved purposes. To deal with this problem we apply…

Computer Science and Game Theory · Computer Science 2013-10-29 Andrey Garnaev , Wade Trappe , Chun-Ta Kung

We introduce a model of sender-receiver stopping games, where the state of the world follows an iid--process throughout the game. At each period, the sender observes the current state, and sends a message to the receiver, suggesting either…

Computer Science and Game Theory · Computer Science 2020-04-07 Aditya Aradhye , János Flesch , Mathias Staudigl , Dries Vermeulen

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

This paper addresses a critical aerial defense challenge in contested airspace, involving three autonomous aerial vehicles -- a hostile drone (the pursuer), a high-value drone (the evader), and a protective drone (the defender). We present…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Shivam Bajpai , Abhinav Sinha , Shashi Ranjan Kumar

In multi-agent dynamic games, the Nash equilibrium state trajectory of each agent is determined by its cost function and the information pattern of the game. However, the cost and trajectory of each agent may be unavailable to the other…

Multiagent Systems · Computer Science 2023-01-05 Jingqi Li , Chih-Yuan Chiu , Lasse Peters , Somayeh Sojoudi , Claire Tomlin , David Fridovich-Keil

In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika