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An important feature of a dynamic game is its monitoring structure namely, what the players effectively see from the played actions. We consider games with arbitrary monitoring structures. One of the purposes of this paper is to know to…

信息论 · 计算机科学 2012-10-24 Maël Le Treust , Samson Lasaulce

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio. The intruders…

系统与控制 · 电气工程与系统科学 2021-03-23 Shivam Bajaj , Eric Torng , Shaunak D. Bopardikar

A multiplayer reach-avoid game is a differential game between an attacking team with NA attackers and a defending team with ND defenders playing on a compact domain with obstacles. The attacking team aims to send M of the NA attackers to…

最优化与控制 · 数学 2016-11-03 Mo Chen , Zhengyuan Zhou , Claire J. Tomlin

A scenario is considered wherein a stationary, turn constrained agent (Turret) and a mobile agent (Defender) cooperate to protect the former from an adversarial mobile agent (Attacker). The Attacker wishes to reach the Turret prior to…

系统与控制 · 电气工程与系统科学 2025-09-15 Alexander Von Moll , Dipankar Maity , Meir Pachter , Daigo Shishika , Michael Dorothy

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…

系统与控制 · 电气工程与系统科学 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar

This paper is about a set-based computing method for solving a general class of two-player zero-sum Stackelberg differential games. We assume that the game is modeled by a set of coupled nonlinear differential equations, which can be…

最优化与控制 · 数学 2019-09-10 Xuhui Feng , Mario E. Villanueva , Boris Houska

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

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…

多智能体系统 · 计算机科学 2024-06-18 Kushagra Gupta , David Fridovich-Keil

This paper studies a two-player game with a quantitative surveillance requirement on an adversarial target moving in a discrete state space and a secondary objective to maximize short-term visibility of the environment. We impose the…

机器人学 · 计算机科学 2019-11-19 Suda Bharadwaj , Louis Ly , Bo Wu , Richard Tsai , Ufuk Topcu

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

机器学习 · 计算机科学 2018-05-23 Parameswaran Kamalaruban

We study a pursuit-evasion problem which can be viewed as an extension of the keep-away game. In the game, pursuer(s) will attempt to intersect or catch the evader, while the evader can visit a fixed set of locations, which we denote as the…

机器人学 · 计算机科学 2022-06-17 Weifu Wang , Ping Li

We study a security game over a network played between a $defender$ and $k$ $attackers$. Every attacker chooses, probabilistically, a node of the network to damage. The defender chooses, probabilistically as well, a connected induced…

计算机科学与博弈论 · 计算机科学 2019-06-10 Eleni C. Akrida , Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

This paper presents a cooperative target defense strategy using nonlinear model-predictive control (NMPC) framework for a two--targets two--attackers (2T2A) game. The 2T2A game consists of two attackers and two targets. Each attacker needs…

系统与控制 · 电气工程与系统科学 2022-08-19 Amith Manoharan , P. B. Sujit

This is a complete version of the 6-page IEEE TAC technical note [1]. In this paper, we consider the distributed surrounding of a convex target set by a group of agents with switching communication graphs. We propose a distributed…

系统与控制 · 计算机科学 2015-10-21 Youcheng Lou , Yiguang Hong

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

计算机科学与博弈论 · 计算机科学 2016-08-05 Karel Horák , Branislav Bošanský

We study deception in adversarial graph traversal, where a mobile agent seeks to reach a goal with minimum cost while an adversary alters edge costs to increase the total traversal cost. Unlike prior works that assume fixed…

系统与控制 · 电气工程与系统科学 2026-05-25 Violetta Rostobaya , James Berneburg , Daigo Shishika

The Continuous p-Dispersion Problem (CpDP) with boundary constraints asks for the placement of a fixed number of points in a compact subset of Euclidean space such that the minimum distance between any two points, as well as the points and…

最优化与控制 · 数学 2026-03-02 Sanjay Manoj , Melkior Ornik

The goal of agents in multi-agent environments is to maximize total reward against the opposing agents that are encountered. Following a game-theoretic solution concept, such as Nash equilibrium, may obtain a strong performance in some…

计算机科学与博弈论 · 计算机科学 2026-01-05 Sam Ganzfried

Patrolling is one of the central problems in operational security. Formally, a patrolling problem is specified by a set $U$ of nodes (admissible defender's positions), a set $T \subseteq U$ of vulnerable targets, an admissible defender's…

计算机科学与博弈论 · 计算机科学 2016-08-08 Tomáš Brázdil , Petr Hliněný , Antonín Kučera , Vojtěch Řehák , Matúš Abaffy

The problem of computing a common point that lies in the intersection of a finite number of closed convex sets, each known to one agent in a network, is studied. This issue, known as the distributed convex feasibility problem or the…

多智能体系统 · 计算机科学 2020-08-11 Dimitris Ampeliotis , Kostas Berberidis