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We review existing approaches to mathematical modeling and analysis of multi-agent systems in which complex collective behavior arises out of local interactions between many simple agents. Though the behavior of an individual agent can be…

Robotics · Computer Science 2007-05-23 Kristina Lerman , Aram Galstyan , Tad Hogg

We propose a model of collective behavior in self-propelled active agents that incorporates a perceptual decision-making process. In this framework, the decision-making dynamics is modeled using quantum formalism. The perceptual decision…

Physics and Society · Physics 2025-10-15 Jyotiranjan Beuria , Mayank Chaurasiya , Laxmidhar Behera

We are interested in the problem of multiagent systems development for risk detecting and emergency response in an uncertain and partially perceived environment. The evaluation of the current situation passes by three stages inside the…

Artificial Intelligence · Computer Science 2008-12-18 Fahem Kebair , Frédéric Serin , Cyrille Bertelle

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

Physics and Society · Physics 2012-05-29 S. R. Souza , S. Goncalves

The simulation of pedestrian crowd that reflects reality is a major challenge for researches. Several crowd simulation models have been proposed such as cellular automata model, agent-based model, fluid dynamic model, etc. It is important…

Multiagent Systems · Computer Science 2017-08-15 Wonho Kang , Youngnam Han

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

This paper explores a novel extension of dynamic matching theory by analyzing a three-way matching problem involving agents from three distinct populations, each with two possible types. Unlike traditional static or two-way dynamic models,…

Theoretical Economics · Economics 2025-07-09 Souvik Roy , Agamani Saha

This thesis presents the theoretical, conceptual and methodological aspects that support the modeling of dynamical systems (DS) by using several agents. The modeling approach permits the assessment of properties representing order, change,…

Multiagent Systems · Computer Science 2016-06-03 Nelson Fernandez

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

Principle of Swarm Intelligence has recently found widespread application in formation control and automated tracking by the automated multi-agent system. This article proposes an elegant and effective method inspired by foraging dynamics…

Neural and Evolutionary Computing · Computer Science 2014-10-17 Debdipta Goswami , Chiranjib Saha , Kunal Pal , Swagatam Das

Collective behaviors such as swarming and flocking emerge from simple, decentralized interactions in biological systems. Existing models, such as Vicsek and Cucker-Smale, lack collision avoidance, whereas the Olfati-Saber model imposes…

Robotics · Computer Science 2025-08-14 Hossein B. Jond

Group behavior has received much attention as a test case of self-organization. There has been much written in recent years to investigate interactions within groups of agents. These agents can be animals moving in an interactive way, such…

Physics and Society · Physics 2011-03-14 Max D. Steel

Flocking behavior of multiple agents can be widely observed in nature such as schooling fish and flocking birds. Recent literature has proposed the possibility that flocking is possible even only a small fraction of agents are informed of…

Chaotic Dynamics · Physics 2009-05-08 Jin Zhou , Wenwu Yu , Xiaoqun Wu , Michael Small , Jun-an Lu

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

Multi-modality is an important feature of sensor based activity recognition. In this work, we consider two inherent characteristics of human activities, the spatially-temporally varying salience of features and the relations between…

Human-Computer Interaction · Computer Science 2019-05-23 Kaixuan Chen , Lina Yao , Dalin Zhang , Bin Guo , Zhiwen Yu

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous…

Adaptation and Self-Organizing Systems · Physics 2021-10-08 Emiliano Cristiani , Marta Menci , Marco Papi , Léonard Brafman

Decision making can be difficult when there are many actors (or agents) who may be coordinating or competing to achieve their various ideas of the optimum outcome. Here I present a simple decision making model with an explicitly…

Multiagent Systems · Computer Science 2024-04-29 Paul Kinsler

We introduce a novel type of abnormal agents that proceed in the opposite direction of that defined for the normal agents. A new order parameter, $y$, is introduced to describe the characteristic of the system. Many interesting phenomenons…

Disordered Systems and Neural Networks · Physics 2011-07-08 Han Yan , Yu-Jian Li , Zhen-Dong Xi , Bing-Hong Wang

One of the most essential prerequisites behind a successful task execution of a team of agents is to accurately estimate and track their poses. We consider a cooperative multi-agent positioning problem where each agent performs single-agent…

Robotics · Computer Science 2019-03-18 Milutin Pajovic , Vikrant Shah , Philip V. Orlik