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We review the observations and the basic laws describing the essential aspects of collective motion -- being one of the most common and spectacular manifestation of coordinated behavior. Our aim is to provide a balanced discussion of the…

Statistical Mechanics · Physics 2012-08-16 Tamás Vicsek , Anna Zafeiris

Collective behavior in animals has long been modeled through self-propelled particle models, which reproduce striking group-level phenomena through abstract interaction forces. Yet these models are fundamentally descriptive: they leave open…

Robotics · Computer Science 2026-05-19 Vito Mengers , Bao Duc Cao , Oliver Brock

Self-organization is frequently observed in active collectives, from ant rafts to molecular motor assemblies. General principles describing self-organization away from equilibrium have been challenging to identify. We offer a unifying…

Collective, especially group-based, managerial decision making is crucial in organizations. Using an evolutionary theoretic approach to collective decision making, agent-based simulations were conducted to investigate how human collective…

Multiagent Systems · Computer Science 2019-02-20 Shelley D. Dionne , Hiroki Sayama , Francis J. Yammarino

We study the emergence of cooperative behaviors in reinforcement learning agents by introducing a challenging competitive multi-agent soccer environment with continuous simulated physics. We demonstrate that decentralized, population-based…

Artificial Intelligence · Computer Science 2021-05-21 Siqi Liu , Guy Lever , Josh Merel , Saran Tunyasuvunakool , Nicolas Heess , Thore Graepel

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

Statistical Mechanics · Physics 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo

Collaborating teams of robots show promise due in their ability to complete missions more efficiently and with improved robustness, attributes that are particularly useful for systems operating in marine environments. A key issue is how to…

Robotics · Computer Science 2025-11-05 Tyler M. Paine , Anastasia Bizyaeva , Michael R. Benjamin

We propose a model predictive control (MPC) based approach to a flock control problem with obstacle avoidance capability in a leader-follower framework, utilizing the future trajectory prediction computed by each agent. We employ the…

Optimization and Control · Mathematics 2024-04-30 Aneek Nag , Shuo Huang , Andreas Themelis , Kaoru Yamamoto

This paper proposes a decentralized approach for solving the problem of moving a swarm of agents into a desired formation. We propose a decentralized assignment algorithm which prescribes goals to each agent using only local information.…

Optimization and Control · Mathematics 2020-05-06 Logan Beaver , Andreas Malikopoulos

One of the most striking phenomena in biological systems is the tendency for biological agents to spatially aggregate, and subsequently display further collective behaviours such as rotational motion. One prominent explanation for why…

Quantitative Methods · Quantitative Biology 2024-10-18 Thomas Stemler , Shannon Dee Algar , Jesse Zhou

We present the first decentralized multi-copter flock that performs stable autonomous outdoor flight with up to 10 flying agents. By decentralized and autonomous we mean that all members navigate themselves based on the dynamic information…

For robots to be a part of our daily life, they need to be able to navigate among crowds not only safely but also in a socially compliant fashion. This is a challenging problem because humans tend to navigate by implicitly cooperating with…

Robotics · Computer Science 2017-05-18 Anirudh Vemula , Katharina Muelling , Jean Oh

Collective movement is observed widely in nature, where individuals interact locally to produce globally ordered, coherent motion. In typical models of collective motion, each individual takes the average direction of multiple neighbors,…

Quantitative Methods · Quantitative Biology 2026-01-23 Yogesh Kumar KC , Arshed Nabeel , Srikanth Iyer , Vishwesha Guttal

We investigate the optimal control of large-scale autonomous systems under explicitly adversarial conditions, incorporating the probabilistic destruction of agents over time. In many such systems, adversarial interactions arise as different…

Optimization and Control · Mathematics 2026-02-27 Claire Walton , Isaac Kaminer , Qi Gong , Abram H. Clark , Theodoros Tsatsanifos

Collective behavior, and swarm formation in particular, has been studied from several perspectives within a large variety of fields, ranging from biology to physics. In this work, we apply Projective Simulation to model each individual as…

Populations and Evolution · Quantitative Biology 2021-01-27 Andrea López-Incera , Katja Ried , Thomas Müller , Hans J. Briegel

In this work, Global Position System (GPS) data from a flock of homing pigeons are analysed. The flocking behaviour of the considered homing pigeons is formulated as a swarm optimal trajectory tracking control problem. The swarm problem in…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Afreen Islam

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

Collective motion in animal groups, such as swarms of insects, flocks of birds, and schools of fish, are some of the most visually striking examples of emergent behavior. Empirical analysis of these behaviors in experiment or computational…

Soft Condensed Matter · Physics 2021-03-16 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

This paper introduces a crowd modeling and motion control approach that employs diffusion adaptation within an adaptive network. In the network, nodes collaboratively address specific estimation problems while simultaneously moving as…

Multiagent Systems · Computer Science 2023-10-25 Zirui Wan , Saeid Sanei

In this work we introduce an approach for modeling and analyzing collective behavior of a group of agents using moments. We represent the group of agents via their distribution and derive a method to estimate the dynamics of the moments. We…

Optimization and Control · Mathematics 2020-04-30 Silun Zhang , Axel Ringh , Xiaoming Hu , Johan Karlsson
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