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We present a numerical approach to finding optimal trajectories for players in a multi-body, asset-guarding game with nonlinear dynamics and non-convex constraints. Using the Iterative Best Response (IBR) scheme, we solve for each player's…

系统与控制 · 电气工程与系统科学 2020-11-04 Emmanuel Sin , Murat Arcak , Douglas Philbrick , Peter Seiler

The security in networked systems depends greatly on recognizing and identifying adversarial behaviors. Traditional detection methods focus on specific categories of attacks and have become inadequate for increasingly stealthy and deceptive…

密码学与安全 · 计算机科学 2024-11-26 Yinan Hu , Juntao Chen , Quanyan Zhu

We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as…

机器人学 · 计算机科学 2022-12-14 Arman Pourghorban , Michael Dorothy , Daigo Shishika , Alexander Von Moll , Dipankar Maity

Solutions to pursuit-evasion and surveillance-evasion differential games are typically computed and expressed using open-loop representations, with the synthesis of feedback strategies significantly less common. We propose a numerical…

系统与控制 · 电气工程与系统科学 2026-05-07 Philipp Braun , Timothy L. Molloy , Gal Barkai , Iman Shames

Many robotic applications involve interactions between multiple agents where an agent's decisions affect the behavior of other agents. Such behaviors can be captured by the equilibria of differential games which provide an expressive…

机器人学 · 计算机科学 2021-07-13 Talha Kavuncu , Ayberk Yaraneri , Negar Mehr

This paper studies a novel encirclement guaranteed cooperative pursuit problem involving $N$ pursuers and a single evader in an unbounded two-dimensional game domain. Throughout the game, the pursuers are required to maintain encirclement…

多智能体系统 · 计算机科学 2024-04-08 Chen Wang , Hua Chen , Jia Pan , Wei Zhang

We analyze a two-player game in which players take turns avoiding the selection of certain points within a convex geometry. The objective is to prevent the convex closure of all chosen points from encompassing a predefined set. The first…

组合数学 · 数学 2025-12-09 Seomgeun Shim

In this paper we consider a Target-guarding differential game where the Defender must protect a linearly moving line segment by intercepting the Attacker who tries to reach it. In contrast to common Target-guarding problems, we assume that…

系统与控制 · 电气工程与系统科学 2022-07-12 Goutam Das , Daigo Shishika

We present two zero-sum games modeling situations where one player attacks (or hides in) a finite dimensional nonempty compact set, and the other tries to prevent the attack (or find him). The first game, called patrolling game, corresponds…

最优化与控制 · 数学 2019-07-03 Tristan Garrec

We consider a pursuit-evasion differential game with a Hybrid system of dynamics in Hilbert space with integral constraints on the control functions of players. We show that the pursuer has a winning strategy.

最优化与控制 · 数学 2020-07-17 Mehdi Salimi

Suppose an escaping player ("human") moves continuously at maximum speed $1$ in the interior of a region, while a pursuing player ("zombie") moves continuously at maximum speed $r$ outside the region. For what $r$ can the first player…

计算几何 · 计算机科学 2025-10-21 Zachary Abel , Hugo Akitaya , Erik D. Demaine , Martin L. Demaine , Adam Hesterberg , Jason S. Ku , Jayson Lynch

To be successful in multi-player drone racing, a player must not only follow the race track in an optimal way, but also compete with other drones through strategic blocking, faking, and opportunistic passing while avoiding collisions. Since…

机器人学 · 计算机科学 2018-01-30 Riccardo Spica , Davide Falanga , Eric Cristofalo , Eduardo Montijano , Davide Scaramuzza , Mac Schwager

Unmanned Aerial Vehicle (UAV) have emerged as a promising technique to rapidly provide wireless services to a group of mobile users simultaneously. The paper aims to address a challenging issue that each user is selfish and may misreport…

计算机科学与博弈论 · 计算机科学 2019-10-08 Xinping Xu , Lingjie Duan , Minming Li

We optimize finite horizon multi-agent reach-avoid Markov decision process (MDP) via \emph{local feedback policies}. The global feedback policy solution yields global optimality but its communication complexity, memory usage and computation…

系统与控制 · 电气工程与系统科学 2026-04-10 Adam Casselman , Abraham P. Vinod , Sarah H. Q. Li

We study the problem of capturing an Omnidirectional Evader in convex environments using a Differential Drive Robot (DDR). The DDR wins the game if at any time instant it captures (collides with) the evader. The evader wins if it can avoid…

机器人学 · 计算机科学 2016-02-09 Ubaldo Ruiz , Volkan Isler

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

We study $n$-agent Bayesian Games with $m$-dimensional vector types and linear payoffs, also called Linear Multidimensional Bayesian Games. This class of games is equivalent with $n$-agent, $m$-game Uniform Multigames. We distinguish…

计算机科学与博弈论 · 计算机科学 2023-10-24 Sébastien Huot , Abbas Edalat

This work presents a distributed MPC-based approach to solving the problem of multi-agent point-to-point transition with optimization-based collision avoidance. The problem is formulated, motivated by the work on collision avoidance for…

机器人学 · 计算机科学 2021-08-04 Adarsh Patnaik , Ashish Ranjan Hota

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

系统与控制 · 计算机科学 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

Adversarial Patrolling games form a subclass of Security games where a Defender moves between locations, guarding vulnerable targets. The main algorithmic problem is constructing a strategy for the Defender that minimizes the worst damage…

人工智能 · 计算机科学 2026-04-22 Vojtěch Kůr , Vít Musil , Vojtěch Řehák