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In this work, we extend the convex bodies chasing problem (CBC) to an adversarial setting, where an agent (the Player) is tasked with chasing a sequence of convex bodies generated adversarially by another agent (the Opponent). The Player…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Yue Guan , Longxu Pan , Daigo Shishika , Panagiotis Tsiotras

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…

Robotics · Computer Science 2024-09-16 Rodrigo Saavedra , Ubaldo Ruiz

This paper studies the problem of multi-robot pursuit of how to coordinate a group of defending robots to capture a faster attacker before it enters a protected area. Such operation for defending robots is challenging due to the unknown…

Robotics · Computer Science 2024-11-01 Jinyong Chen , Rui Zhou , Zhaozong Wang , Yunjie Zhang , Guibin Sun

Robots playing games that humans are adept in is a challenge. We studied robotic agents playing Chain Catch game as a Multi-Agent System (MAS). Our game starts with a traditional Catch game similar to Pursuit evasion, and further extends it…

Multiagent Systems · Computer Science 2016-02-23 Garima Agrawal , Kamalakar Karlapalem

In this work, we address a completely novel case which is the meeting problem of mobile nodes (players) in a wireless ad hoc network. We assume that the only information players have is the received signal strength (RSS) measurements of…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Noyan Evirgen , Alper Kose

We investigate a pursuit-evasion game on an undirected graph in which a robber, moving at a fixed constant speed, attempts to evade a team of cops who are blind to the robber's location and can quickly travel between any pair of vertices in…

Combinatorics · Mathematics 2025-12-01 Hector Buffière , Rutger Campbell , Kevin Hendrey , Sang-il Oum

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

The extragradient method has gained popularity due to its robust convergence properties for differentiable games. Unlike single-objective optimization, game dynamics involve complex interactions reflected by the eigenvalues of the game…

Machine Learning · Computer Science 2024-02-13 Junhyung Lyle Kim , Gauthier Gidel , Anastasios Kyrillidis , Fabian Pedregosa

We consider the problem of simultaneous learning in stochastic games with many players in the finite-horizon setting. While the typical target solution for a stochastic game is a Nash equilibrium, this is intractable with many players. We…

Computer Science and Game Theory · Computer Science 2022-10-27 William Brown

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

We consider a model of two competing microswimming agents engaged in a pursue-evasion task within a low-Reynolds-number environment. Agents can only perform simple maneuvers and sense hydrodynamic disturbances, which provide ambiguous…

Fluid Dynamics · Physics 2022-03-04 Francesco Borra , Luca Biferale , Massimo Cencini , Antonio Celani

In this paper, we consider a new network security game wherein an attacker and a defender are battling over "multiple" targets. This type of game is appropriate to model many current network security conflicts such as Internet phishing,…

Computer Science and Game Theory · Computer Science 2022-02-22 Yuedong Xu , John C. S. Lui

This work presents a 3D multi-robot exploration framework for a team of UGVs moving on uneven terrains. The framework was designed by casting the two-level coordination strategy presented in [1] into the context of multi-robot exploration.…

Robotics · Computer Science 2023-07-10 Luigi Freda , Tiago Novo , David Portugal , Rui P. Rocha

We consider concurrent games played on graphs. At every round of a game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2012-07-03 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

In this work we introduce and study a pursuit-evasion game in which the search is performed by heterogeneous entities. We incorporate heterogeneity into the classical edge search problem by considering edge-labeled graphs: once a search…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Łukasz Kuszner , Robert Ostrowski

Semi-supervised learning is a popular class of techniques to learn from labeled and unlabeled data. The paper proposes an application of a recently proposed approach of graph transduction that exploits game theoretic notions to the problem…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Tewodros Mulugeta Dagnew , Dalia Coppi , Marcello Pelillo , Rita Cucchiara

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

This paper presents a potential game-based method for non-myopic planning of mobile sensor networks in the context of target tracking. The planning objective is to select the sequence of sensing points over more than one future time steps…

Systems and Control · Computer Science 2019-11-15 Su-Jin Lee , Soon-Seo Park , Han-Lim Choi

Multi-player multi-armed bandit is an increasingly relevant decision-making problem, motivated by applications to cognitive radio systems. Most research for this problem focuses exclusively on the settings that players have \textit{full…

Machine Learning · Computer Science 2022-12-14 Guojun Xiong , Jian Li

The game of Cops and Robber is a pursuit-evasion game which is usually played on a connected graph. In the game, a set of cops and a robber move around the vertices of a graph along edges, where the cops aim to capture the robber, while the…

Combinatorics · Mathematics 2021-07-27 Pinkaew Siriwong , Ratinan Boonklurb , Henry Liu , Sirirat Singhun