Social dynamics models with time-varying influence

DOI10.1142/S0218202519400037zbMath1428.34069OpenAlexW2916792796WikidataQ128319635 ScholiaQ128319635MaRDI QIDQ4972951

Benedetto Piccoli, Sean T. McQuade, Nastassia Pouradier Duteil

Publication date: 29 November 2019

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

Full work available at URL: https://doi.org/10.1142/s0218202519400037

zbMATH Keywords

multiagent systemsconsensusopinion formation

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Mathematical sociology (including anthropology) (91D99)

Related Items (10)

Swarms dynamics approach to behavioral economy: theoretical tools and price sequences ⋮ Mean-field limit of collective dynamics with time-varying weights ⋮ Kinetic equations for processes on co-evolving networks ⋮ Consensus formation in first-order graphon models with time-varying topologies ⋮ Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights ⋮ Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework ⋮ Mean-field and graph limits for collective dynamics models with time-varying weights ⋮ Qualitative features of a nonlinear, nonlocal, agent-based PDE model with applications to homelessness ⋮ Control of collective dynamics with time-varying weights ⋮ An invariance principle for gradient flows in the space of probability measures

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• Heterophilious Dynamics Enhances Consensus
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• Sparse Control of Hegselmann--Krause Models: Black Hole and Declustering
• Convergence of Type-Symmetric and Cut-Balanced Consensus Seeking Systems

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