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Related papers: Group Chase and Escape

200 papers

We study a simple group chase and escape model by introducing new parameters with which configurations of chasing and escaping in groups are classified into three characteristic patterns. In particular, the parameters distinguish two…

Computational Physics · Physics 2012-04-03 S. Matsumoto , A. Kamimura , T. Nogawa , T. Shimada , N. Ito , T. Ohira

We propose a bio-inspired, agent-based approach to describe the natural phenomenon of group chasing in both two and three dimensions. Using a set of local interaction rules we created a continuous-space and discrete-time model with time…

Biological Physics · Physics 2017-05-24 Milán Janosov , Csaba Virágh , Gábor Vásárhelyi , Tamás Vicsek

We are studying the effect of converting caught targets into new chasers in the context of the recently proposed `group chase and escape' problem. Numerical simulations have shown that this conversion can substantially reduce the lifetimes…

Physics and Society · Physics 2018-04-25 Ryosuke Nishi , Atsushi Kamimura , Katsuhiro Nishinari , Toru Ohira

The effect of laziness in the group chase and escape problem is studied using a simple model. The laziness is introduced as random walks in two ways: uniformly and in a "division of labor" way. It is shown that, while the former is always…

Adaptation and Self-Organizing Systems · Physics 2017-07-24 Makoto Masuko , Takayuki Hiraoka , Nobuyasu Ito , Takashi Shimada

We consider a pursuit-evasion scenario involving a group of pursuers and a single evader in a two-dimensional unbounded environment. The pursuers aim to capture the evader in finite time while ensuring the evader remains enclosed within the…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Dinesh Patra , Prajakta Surve , Ashish R. Hota , Shaunak D. Bopardikar

Shmuel Gal and Jerome Casas have recently introduced a game theoretic model that combines search and pursuit by a predator for a prey animal. The prey (hider) can hide in a finite number of locations. The predator (searcher) can inspect any…

Computer Science and Game Theory · Computer Science 2019-12-10 Steve Alpern , Viciano Lee

We consider a problem of cooperative evasion between a single pursuer and multiple evaders in which the evaders are constrained to move in the positive Y direction. The evaders are slower than the vehicle and can choose their speeds from a…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Shivam Bajaj , Eloy Garcia , Shaunak D. Bopardikar

This paper addresses a multi-pursuer single-evader pursuit-evasion game where the free-moving evader moves faster than the pursuers. Most of the existing works impose constraints on the faster evader such as limited moving area and moving…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Xu Fang , Chen Wang , Lihua Xie , Jie Chen

We propose a dynamical trapping system composed of multiple chasers subject to target-tracking forces utilizing the velocity and position information of a single escaping target. To successfully capture the target, dividing chasers into…

Soft Condensed Matter · Physics 2026-04-27 Guo-Jie Jason Gao

Cyclic pursuit frameworks provide an efficient way to create useful global behaviors out of pairwise interactions in a collective of autonomous robots. Earlier work studied cyclic pursuit with a constant bearing (CB) pursuit law, and has…

Systems and Control · Computer Science 2017-09-22 Kevin S. Galloway , Biswadip Dey

Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-consuming, while the others follow the group by interacting…

Optimization and Control · Mathematics 2015-08-05 Benedetto Piccoli , Nastassia Pouradier Duteil , Benjamin Scharf

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and…

Statistical Mechanics · Physics 2009-11-13 Pawel Romanczuk , Iain D. Couzin , Lutz Schimansky-Geier

We discuss the collective dynamics of self-propelled particles with selective attraction and repulsion interactions. Each particle, or individual, may respond differently to its neighbors depending on the sign of their relative velocity.…

Other Condensed Matter · Physics 2012-05-16 Pawel Romanczuk , Lutz Schimansky-Geier

Collective vigilance describes how animals in groups benefit from the predator detection efforts of others. Empirical observations typically find either a many-eyes strategy with all (or many) group members maintaining a low level of…

Populations and Evolution · Quantitative Biology 2025-11-25 Charlie Pilgrim , Andrew M Bate , Anna Sigalou , Mélisande Aellen , Joe Morford , Elizabeth Warren , Christopher Krupenye , Dora Biro , Richard P Mann

This paper studies a pursuit-evasion problem involving a single pursuer and a single evader, where we are interested in developing a pursuit strategy that doesn't require continuous, or even periodic, information about the position of the…

Systems and Control · Computer Science 2016-01-20 Saad A. Aleem , Cameron Nowzari , George J. Pappas

Elucidating emergent regularities in intriguing crowd dynamics is a fundamental scientific problem arising in multiple fields. In this work, based on the social force model, we simulate the typical scenario of collective escape towards a…

Soft Condensed Matter · Physics 2021-05-11 Chen Cheng , Jinglai Li , Zhenwei Yao

We propose a new approach for solving combinatorial optimization problem by utilizing the mechanism of chases and escapes, which has a long history in mathematics. In addition to the well-used steepest descent and neighboring search, we…

Artificial Intelligence · Computer Science 2018-04-25 Toru Ohira

This paper investigates a pursuit-evasion problem involving three agents: a pursuer, an evader, and a defender. Cooperative guidance laws are developed for the evader-defender team that guarantee interception of the pursuer by the defender…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Saurabh Kumar , Shashi Ranjan Kumar , Abhinav Sinha

We propose a decentralized solution for a pursuit-evasion game involving a heterogeneous group of rational (selfish) pursuers and a single evader based on the framework of potential games. In the proposed game, the evader aims to delay (or,…

Systems and Control · Electrical Eng. & Systems 2021-08-19 Yoonjae Lee , Efstathios Bakolas

A new approach for the description of phenomena of social aggregation is suggested. On the basis of psychological concepts (as for instance social norms and cultural coordinates), we deduce a general mechanism for the social aggregation in…

Physics and Society · Physics 2011-04-29 Daniele Vilone , Andrea Guazzini
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