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In this work we consider a collective decision-making process in a network of agents described by a nonlinear interconnected dynamical model with sigmoidal nonlinearities and signed interaction graph. The decisions are encoded in the…

Optimization and Control · Mathematics 2021-10-06 Angela Fontan , Claudio Altafini

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

Dynamical Systems · Mathematics 2021-08-19 Karel Devriendt , Renaud Lambiotte

Understanding how group interactions influence opinion dynamics is fundamental to the study of collective behavior. In this work, we propose and study a model of opinion dynamics on $d$-uniform hypergraphs, where individuals interact…

Physics and Society · Physics 2025-11-18 Thierry Njougouo , Timoteo Carletti , Elio Tuci

The models of collective decision-making considered in this paper are nonlinear interconnected cooperative systems with saturating interactions. These systems encode the possible outcomes of a decision process into different steady states…

Optimization and Control · Mathematics 2021-05-25 Angela Fontan , Claudio Altafini

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise…

Physics and Society · Physics 2025-10-02 David March-Pons , Romualdo Pastor-Satorras , M. Carmen Miguel

When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes highly efficient decisions. Value-sensitive decision-making is…

Optimization and Control · Mathematics 2018-01-23 Rebecca Gray , Alessio Franci , Vaibhav Srivastava , Naomi Ehrich Leonard

A consumer Behaviour model is considered in the context of a network of interacting individuals in an energy market. We propose and analyse a simple dynamical model of an ensemble of coupled active elements mimicking consumers' Behaviour,…

Adaptation and Self-Organizing Systems · Physics 2014-01-29 Nick. J. McCullen , Mikhail. V. Ivanchenko , Vladimir. D. Shalfeev , William. F. Gale

How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees and bird flocks to bacteria, robots, and humans, often need…

Dynamical Systems · Mathematics 2022-07-01 Alessio Franci , Martin Golubitsky , Ian Stewart , Anastasia Bizyaeva , Naomi Ehrich Leonard

Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dynamics is modeled as a continuous system, of which behavioral…

Dynamical Systems · Mathematics 2018-01-01 F. Ataş , A. Demirci , C. Özemir

We introduce a new framework for multiagent decision-making in queueing systems that leverages the agility and robustness of nonlinear opinion dynamics to break indecision during queue selection and to capture the influence of social…

Optimization and Control · Mathematics 2026-03-31 Mallory E. Gaspard , Naomi Ehrich Leonard

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structured belief system, self-appraisal, internal biases, and…

Physics and Society · Physics 2024-07-04 Anastasia Bizyaeva , Alessio Franci , Naomi Ehrich Leonard

Recent studies have shown that novel collective behaviors emerge in complex systems due to the presence of higher-order interactions. However, how the collective behavior of a system is influenced by the microscopic organization of its…

Physics and Society · Physics 2025-07-01 Federico Malizia , Santiago Lamata-Otín , Mattia Frasca , Vito Latora , Jesús Gómez-Gardeñes

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

Decision making is a fundamental capability of autonomous systems. As decision making is a process which happens over time, it can be well modeled by dynamical systems. Often, decisions are made on the basis of perceived values of the…

Dynamical Systems · Mathematics 2020-03-10 Paul Reverdy

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

We analyze the accuracy of collective decision-making in socially connected populations, where agents update binary choices through local interactions on a network. Each agent receives a private signal that is biased -- even marginally --…

Methodology · Statistics 2025-04-29 Dan Braha , Marcus A. M. de Aguiar
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