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A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

凝聚态物理 · 物理学 2009-11-10 H. Fort

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

The pursuit-evasion game in Smart City brings a profound impact on the Multi-vehicle Pursuit (MVP) problem, when police cars cooperatively pursue suspected vehicles. Existing studies on the MVP problems tend to set evading vehicles to move…

多智能体系统 · 计算机科学 2022-10-25 Qinwen Wang , Xinhang Li , Zheng Yuan , Yiying Yang , Chen Xu , Lin Zhang

This work considers a multiplayer reach-avoid game between two adversarial teams in a general convex domain which consists of a target region and a play region. The evasion team, initially lying in the play region, aims to send as many its…

最优化与控制 · 数学 2019-10-22 Rui Yan , Zongying Shi , Yisheng Zhong

We explored the Patrol Security Game (PSG), a robotic patrolling problem modeled as an extensive-form Stackelberg game, where the attacker determines the timing, location, and duration of their attack. Our objective is to devise a…

人工智能 · 计算机科学 2024-10-22 Hao-Tsung Yang , Ting-Kai Weng , Ting-Yu Chang , Kin Sum Liu , Shan Lin , Jie Gao , Shih-Yu Tsai

In mobile robotics and autonomous driving, it is natural to model agent interactions as the Nash equilibrium of a noncooperative, dynamic game. These methods inherently rely on observations from sensors such as lidars and cameras to…

多智能体系统 · 计算机科学 2026-04-02 Tianyu Qiu , David Fridovich-Keil

The combination of Monte-Carlo Tree Search (MCTS) and deep reinforcement learning is state-of-the-art in two-player perfect-information games. In this paper, we describe a search algorithm that uses a variant of MCTS which we enhanced by 1)…

机器学习 · 计算机科学 2020-05-26 Arta Seify , Michael Buro

We provide a general approach to reformulating any continuous-time stochastic Stackelberg differential game under closed-loop strategies as a single-level optimisation problem with target constraints. More precisely, we consider a…

最优化与控制 · 数学 2026-05-14 Camilo Hernández , Nicolás Hernández Santibáñez , Emma Hubert , Dylan Possamaï

In this paper, an adaptive cooperative guidance strategy for the active protection of a target spacecraft trying to evade an interceptor was developed. The target spacecraft performs evasive maneuvers, launching an active defense vehicle to…

系统与控制 · 电气工程与系统科学 2022-12-07 Li Zhi , Haizhao Liang , Jinze Wu , Jianying Wang , Yu Zheng

Safety is a primary concern when applying reinforcement learning to real-world control tasks, especially in the presence of external disturbances. However, existing safe reinforcement learning algorithms rarely account for external…

机器学习 · 计算机科学 2023-10-12 Zeyang Li , Chuxiong Hu , Shengbo Eben Li , Jia Cheng , Yunan Wang

Game-theoretic inverse learning is the problem of inferring a player's objectives from their actions. We formulate an inverse learning problem in a Stackelberg game between a leader and a follower, where each player's action is the…

计算机科学与博弈论 · 计算机科学 2024-10-15 William Ward , Yue Yu , Jacob Levy , Negar Mehr , David Fridovich-Keil , Ufuk Topcu

We consider a game played between a hider, who hides a static object in one of several possible positions in a bounded planar region, and a searcher, who wishes to reach the object by querying sensors placed in the plane. The searcher is a…

计算机科学与博弈论 · 计算机科学 2015-03-19 Alessandro Borri , Shaunak D. Bopardikar , Joao P. Hespanha , Maria D. Di Benedetto

A fundamental task in mobile robotics is to keep an agent under surveillance using an autonomous robotic platform equipped with a sensing device. Using differential game theory, we study a particular setup of the previous problem. A…

机器人学 · 计算机科学 2024-09-16 Rodrigo Saavedra , Ubaldo Ruiz

Harry hides on an edge of a graph and does not move from there. Sally, starting from a known origin, tries to find him as soon as she can. Harry's goal is to be found as late as possible. At any given time, each edge of the graph is either…

计算机科学与博弈论 · 计算机科学 2020-01-22 Tristan Garrec , Marco Scarsini

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…

机器人学 · 计算机科学 2023-03-23 Xinjie Liu , Lasse Peters , Javier Alonso-Mora

We present novel results on the solution of a class of leavable, undiscounted optimal control problems in the minimax sense for nonlinear, continuous-state, discrete-time plants. The problem class includes entry-(exit-)time problems as well…

最优化与控制 · 数学 2018-09-05 Gunther Reissig , Matthias Rungger

We study a class of deterministic mean field games and related optimal control problems, with a finite time horizon and in which the state space is a network. An agent controls her velocity, and, when she occupies a vertex, she can either…

最优化与控制 · 数学 2025-11-25 Yves Achdou , Claudio Marchi , Nicoletta Tchou

We consider a reach-avoid differential game, in which one of the players aims to steer the system into a target set without violating a set of state constraints, while the other player tries to prevent the first from succeeding; the system…

最优化与控制 · 数学 2014-10-30 Jaime F. Fisac , Mo Chen , Claire J. Tomlin , S. Shankar Sastry

In this article, we consider a fundamental decentralized optimal control problem, which we call the two-player problem. Two subsystems are interconnected in a nested information pattern, and output feedback controllers must be designed for…

系统与控制 · 计算机科学 2015-07-10 Laurent Lessard , Sanjay Lall

This paper presents a novel control strategy to herd a group of non-cooperative evaders by means of a team of robotic herders. In herding problems, the motion of the evaders is typically determined by strong nonlinear reactive dynamics,…

系统与控制 · 电气工程与系统科学 2022-06-14 Eduardo Sebastián , Eduardo Montijano