Generalized solutions to bounded-confidence models

DOI10.1142/S0218202521400054zbMath1473.34011arXiv2012.00755OpenAlexW3176304823MaRDI QIDQ5164234

Francesco Rossi, Benedetto Piccoli

Publication date: 10 November 2021

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00755

zbMATH Keywords

opinion dynamicsHegselmann-Krause modeldiscontinuous ordinary differential equations

Mathematics Subject Classification ID

Clustering in the social and behavioral sciences (91C20) Social networks; opinion dynamics (91D30) Discontinuous ordinary differential equations (34A36)

Related Items (3)

Generalized Solutions to Opinion Dynamics Models with Discontinuities ⋮ Control of multi-agent systems: results, open problems, and applications ⋮ Collective dynamics in science and society

Cites Work

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• Continuous and discontinuous opinion dynamics with bounded confidence
• Clustering and asymptotic behavior in opinion formation
• Measure-theoretic models for crowd dynamics
• Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
• HYDRODYNAMICS OF THE KURAMOTO–VICSEK MODEL OF ROTATING SELF-PROPELLED PARTICLES
• An Eulerian Approach to the Analysis of Krause's Consensus Models
• Heterophilious Dynamics Enhances Consensus
• Lp theory for the multidimensional aggregation equation
• Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model
• Continuous-Time Average-Preserving Opinion Dynamics with Opinion-Dependent Communications
• Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints
• Asymptotic controllability implies feedback stabilization
• Regular syntheses and solutions to discontinuous ODEs
• Regular Synthesis and Sufficiency Conditions for Optimality
• Consensus and Cooperation in Networked Multi-Agent Systems
• On a theorem of Danskin with an application to a theorem of Von Neumann-Sion
• Opinion Dynamics in Heterogeneous Networks: Convergence Conjectures and Theorems
• Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
• On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
• Sparse stabilization and control of alignment models
• A Simple Proof of Asymptotic Consensus in the Hegselmann--Krause and Cucker--Smale Models with Normalization and Delay

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