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This paper investigates the encirclement control problem involving two groups using a non-cooperative differential game approach. The active group seeks to chase and encircle the passive group, while the passive group responds by fleeing…

Optimization and Control · Mathematics 2025-02-28 Panpan Zhou , Yueyue Xu , Yibei Li , Bo Wahlberg , Xiaoming Hu

We train embodied agents to play Visual Hide and Seek where a prey must navigate in a simulated environment in order to avoid capture from a predator. We place a variety of obstacles in the environment for the prey to hide behind, and we…

Artificial Intelligence · Computer Science 2019-10-18 Boyuan Chen , Shuran Song , Hod Lipson , Carl Vondrick

In nature, flocking or swarm behavior is observed in many species as it has beneficial properties like reducing the probability of being caught by a predator. In this paper, we propose SELFish (Swarm Emergent Learning Fish), an approach…

Multiagent Systems · Computer Science 2019-05-13 Carsten Hahn , Thomy Phan , Thomas Gabor , Lenz Belzner , Claudia Linnhoff-Popien

Nonreciprocal interaction crowd systems, such as human-human, human-vehicle, and human-robot systems, often have serious impacts on pedestrian safety and social order. A more comprehensive understanding of these systems is needed to…

Physics and Society · Physics 2024-04-03 Shaocong Xie , Rui Ye , Xiaolian Li , Zhongyi Huang , Shuchao Cao , Wei Lv , Hong He , Ping Zhang , Zhiming Fang , Jun Zhang , Weiguo Song

This work derives two basic engagement zone models, describing regions of potential risk or capture for a mobile vehicle by a pursuer. The pursuer is modeled as having turn-constraints rather than simple motion. Turn-only (C-Paths) and…

Optimization and Control · Mathematics 2025-02-04 Thomas Chapman , Isaac E. Weintraub , Alexander Von Moll , Eloy Garcia

A discrete implementation on a lattice of the Active Walker Model is presented. After the model's validity is shown in simple simulations, more complex simulations of walkers passing consecutively a lattice from an arbitrary starting point…

Statistical Mechanics · Physics 2007-05-23 S. Schoellmann

Group-based reinforcement can induce discontinuous transitions from inactive to active phases in higher-order contagion models. However, these results are typically obtained on static interaction structures or within mean-field…

In this paper, we investigate the fixed-time behavioral control problem for a team of second-order nonlinear agents, aiming to achieve a desired formation with collision/obstacle~avoidance. In the proposed approach, the two behaviors(tasks)…

Optimization and Control · Mathematics 2021-03-12 Ning Zhou , Xiaodong Cheng , Zhongqi Sun , Yuanqing Xia

Predator-prey relationships are one of the most studied interactions in population ecology. However, little attention has been paid to the possibility of role exchange between species once determined as predators and preys, despite firm…

Populations and Evolution · Quantitative Biology 2014-10-31 Faustino Sánchez-Garduño , Pedro Miramontes , Tatiana T. Marquez-Lago

To investigate the evacuation behaviors of pedestrians considering action of the guard and develop an effective evacuation strategy in the artificial attack, an extended floor field model was proposed. In this model, the assault on…

Cellular Automata and Lattice Gases · Physics 2019-02-20 Chang-kun Chen , Yun-he Tong

At the 2005 world championships there was considerable discussion and a formal protest in the long distance race arising from a perceived advantage obtained by some athletes running together. It is shown that a statistical model presented…

Physics and Society · Physics 2016-09-08 Graeme J. Ackland

Crowd trajectory prediction plays a crucial role in public safety and management, where it can help prevent disasters such as stampedes. Recent works address the problem by predicting individual trajectories and considering surrounding…

Artificial Intelligence · Computer Science 2026-03-20 Antonius Bima Murti Wijaya , Paul Henderson , Marwa Mahmoud

We study a pursuit-evasion game between a double integrator-driven pursuer with bounded velocity and bounded acceleration and a single integrator-driven evader with bounded velocity in a two-dimensional plane. The pursuer's goal is to…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Zehua Zhao , Rui Yan , Jianping He , Xinping Guan , Xiaoming Duan

There is a natural connection between two types of recurrence law: hitting times to shrinking targets, and hitting times to a fixed target (usually seen as escape through a hole). We show that for systems which mix exponentially fast, one…

Dynamical Systems · Mathematics 2018-01-08 Henk Bruin , Mark F. Demers , Mike Todd

We address the longstanding challenge of producing flexible, realistic humanoid character controllers that can perform diverse whole-body tasks involving object interactions. This challenge is central to a variety of fields, from graphics…

Artificial Intelligence · Computer Science 2020-06-17 Josh Merel , Saran Tunyasuvunakool , Arun Ahuja , Yuval Tassa , Leonard Hasenclever , Vu Pham , Tom Erez , Greg Wayne , Nicolas Heess

Predator-prey coevolution is commonly thought to result in reciprocal arms races that produce increasingly extreme and complex traits. However, such directional change is not inevitable. Here, we provide evidence for a previously…

Populations and Evolution · Quantitative Biology 2014-02-18 Aaron P Wagner , Luis Zaman , Ian Dworkin , Charles Ofria

We consider a variant of the target defense problems where a group of defenders are tasked to simultaneously capture an intruder. The intruder's objective is to reach a target without being simultaneously captured by the defender team. Some…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Dipankar Maity , Arman Pourghorban

Failures of cooperation cause many of society's gravest problems. It is well known that cooperation among many players faced with a social dilemma can be maintained thanks to the possibility of punishment, but achieving the initial state of…

Physics and Society · Physics 2015-06-05 Samuel Johnson

Finding a target in a complex environment is a fundamental challenge in nature, from chemical reactions to sperm reaching an egg. An effective strategy to reduce the time needed to reach a target is to deploy many searchers, increasing the…

Statistical Mechanics · Physics 2025-07-15 Elisabetta Ellettari , Giacomo Nasuti , Alberto Bassanoni , Alessandro Vezzani , Raffaella Burioni

Introducing environmental feedback into evolutionary game theory has led to the development of eco-evolutionary games, which have gained popularity due to their ability to capture the intricate interplay between the environment and…

Biological Physics · Physics 2023-08-08 Changyan Di , Qingguo Zhou , Jun Shen , Jinqiang Wang , Rui Zhou , Tianyi Wang
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