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The goal of the present work is to propose an agent-based model that originally combines classical Vicsek-like polarity alignments and contact forces, as implemented in the framework developed by Maury and Venel in [Maury, Venel, 2011]. The…

Numerical Analysis · Mathematics 2026-04-08 Laurent Navoret , Roxana Sublet , Marcela Szopos

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

Brownian motion have long been studied on a diversity of fields, not only in physics of statistical mechanics, but also in biological models, finance and economic process, and social systems. In the past twenty years, there has been a…

Physics and Society · Physics 2025-12-05 Peng Wang , Peter Luh

In this paper, we model a decision-making process involving a set of interacting agents. We use Markovian opinion dynamics, where each agent switches between decisions according to a continuous time Markov chain. Existing opinion dynamics…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Carl-Johan Heiker , Paolo Falcone

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

We present a model of soft active particles that leads to a rich array of collective behavior found also in dense biological swarms of bacteria and other unicellular organisms. Our model uses only local interactions, such as Vicsek-type…

Soft Condensed Matter · Physics 2016-10-13 Ruben van Drongelen , Anshuman Pal , Carl P. Goodrich , Timon Idema

We investigate the emergence of cohesive flocking in open, boundless space using a multi-agent reinforcement learning framework. Agents integrate positional and orientational information from their closest topological neighbours and learn…

Soft Condensed Matter · Physics 2026-02-02 Martino Brambati , Antonio Celani , Marco Gherardi , Francesco Ginelli

Simulation models of pedestrian dynamics have become an invaluable tool for evacuation planning. Typically crowds are assumed to stream unidirectionally towards a safe area. Simulated agents avoid collisions through mechanisms that belong…

Multiagent Systems · Computer Science 2020-10-08 Benedikt Kleinmeier , Gerta Köster , John Drury

Intrinsic motivations are receiving increasing attention, i.e. behavioral incentives that are not engineered, but emerge from the interaction of an agent with its surroundings. In this work we study the emergence of behaviors driven by one…

Artificial Intelligence · Computer Science 2026-04-24 Tristan Shah , Ilya Nemenman , Daniel Polani , Stas Tiomkin

Human activities increasingly take place in online environments, providing novel opportunities for relating individual behaviours to population-level outcomes. In this paper, we introduce a simple generative model for the collective…

Physics and Society · Physics 2014-07-24 James P. Gleeson , Davide Cellai , Jukka-Pekka Onnela , Mason A. Porter , Felix Reed-Tsochas

We study a minimal cognitive flocking model, which assumes that the moving entities navigate using exclusively the available instantaneous visual information. The model consists of active particles, with no memory, that interact by a…

Biological Physics · Physics 2019-12-18 Lucas Barberis , Fernando Peruani

Active inference is emerging as a possible unifying theory of perception and action in cognitive and computational neuroscience. On this theory, perception is a process of inferring the causes of sensory data by minimising the error between…

Neurons and Cognition · Quantitative Biology 2022-03-10 Manuel Baltieri , Christopher L. Buckley

We suggest a model of a multi-agent society of decision makers taking decisions being based on two criteria, one is the utility of the prospects and the other is the attractiveness of the considered prospects. The model is the…

Physics and Society · Physics 2018-01-17 V. I. Yukalov , E. P. Yukalova , D. Sornette

In this paper, we identify a radically new viewpoint on the collective behaviour of groups of intelligent agents. We first develop a highly general abstract model for the possible future lives that these agents may encounter as a result of…

Other Quantitative Biology · Quantitative Biology 2017-04-20 Richard P. Mann , Roman Garnett

In this work, we investigate an individual-based model (IBM) for self-propelled agents interacting locally on a plane. Agents are characterized by their position, the angle determining their direction of motion, and their angular velocity.…

Mathematical Physics · Physics 2025-12-22 Sara Merino-Aceituno , Carmela Moschella

Flocking refers to collective behavior of a large number of interacting entities, where the interactions between discrete individuals produce collective motion on the large scale. We employ an agent-based model to describe the microscopic…

Numerical Analysis · Mathematics 2020-12-23 Zhiping Mao , Zhen Li , George Em Karniadakis

Consensus formation is a central problem in collective behavior. In this work, we develop quantum models of opinion dynamics that can be exactly solved and implemented on current quantum hardware. By exploiting quantum superposition,…

Physics and Society · Physics 2026-03-10 Xingyu Guo , Xiaoyang Wang , Lingxiao Wang

Living in groups brings benefits to many animals, such as a protection against predators and an improved capacity for sensing and making decisions while searching for resources in uncertain environments. A body of studies has shown how…

Populations and Evolution · Quantitative Biology 2019-01-23 Andrea Falcón-Cortés , Denis Boyer , Gabriel Ramos-Fernández

Identifying factors that affect human decision making and quantifying their influence remain essential and challenging tasks for the design and implementation of social and technological communication systems. We report results of a…

Physics and Society · Physics 2016-12-02 Chantal Nguyen , Fangqiu Han , Kimberly J. Schlesinger , Izzeddin Gür , Jean M. Carlson