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A framework for continuum modeling of opinion dynamics on a network based on the probability of connections
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Interplay of heterogeneous time-delays and feedback control in the Hegselmann-Krause model
Optimal Control of Multiagent Decision-Making Based on Competence Evolution
Hongjing Chen, Chunhua Hu, Zhi Huang and Ewa Pawluszewicz Discrete Dynamics in Nature and Society 2023 1 (2023) https://doi.org/10.1155/2023/2179376
Reproducing kernel Hilbert spaces in the mean field limit
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Crowd Dynamics: Modeling and Control of Multiagent Systems
Moment-Driven Predictive Control of Mean-Field Collective Dynamics
Giacomo Albi, Michael Herty, Dante Kalise and Chiara Segala SIAM Journal on Control and Optimization 60(2) 814 (2022) https://doi.org/10.1137/21M1391559
Network Structured Kinetic Models of Social Interactions
Hossein Noorazar, Kevin R. Vixie, Arghavan Talebanpour and Yunfeng Hu International Journal of Modern Physics C 31(07) 2050101 (2020) https://doi.org/10.1142/S0129183120501016
Investigations to the price evolutions of goods exchange with CES utility functions
Opinion attractiveness and its effect in opinion formation models
Mayte Pérez-Llanos, Juan Pablo Pinasco and Nicolas Saintier Physica A: Statistical Mechanics and its Applications 559 125017 (2020) https://doi.org/10.1016/j.physa.2020.125017
Crowd Dynamics, Volume 2
M. K. Banda, M. Herty and T. Trimborn Modeling and Simulation in Science, Engineering and Technology, Crowd Dynamics, Volume 2 133 (2020) https://doi.org/10.1007/978-3-030-50450-2_7
Intermediate State of Consensus Formation Described by the Tri-Molecular Model
Peng Wang, Feng-Chun Pan, Xue-Ling Lin, Xu-Ming Wang and Jie Huo Journal of the Korean Physical Society 75(2) 94 (2019) https://doi.org/10.3938/jkps.75.94
Hydrodynamic Models of Preference Formation in Multi-agent Societies
Fokker–Planck equations in the modeling of socio-economic phenomena
Giulia Furioli, Ada Pulvirenti, Elide Terraneo and Giuseppe Toscani Mathematical Models and Methods in Applied Sciences 27(01) 115 (2017) https://doi.org/10.1142/S0218202517400048
A kinetic equation for economic value estimation with irrationality and herding
A consensus-based model for global optimization and its mean-field limit
René Pinnau, Claudia Totzeck, Oliver Tse and Stephan Martin Mathematical Models and Methods in Applied Sciences 27(01) 183 (2017) https://doi.org/10.1142/S0218202517400061
On a Boltzmann Mean Field Model for Knowledge Growth
Martin Burger, Alexander Lorz and Marie-Therese Wolfram SIAM Journal on Applied Mathematics 76(5) 1799 (2016) https://doi.org/10.1137/15M1018599
Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics
Partial differential equation models in the socio-economic sciences
Martin Burger, Luis Caffarelli and Peter A. Markowich Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372(2028) 20130406 (2014) https://doi.org/10.1098/rsta.2013.0406
Boltzmann-type control of opinion consensus through leaders
G. Albi, L. Pareschi and M. Zanella Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372(2028) 20140138 (2014) https://doi.org/10.1098/rsta.2014.0138
Local Stability of Perfect Alignment for a Spatially Homogeneous Kinetic Model
Conciliatory and contradictory dynamics in opinion formation
Laurent Boudin, Aurore Mercier and Francesco Salvarani Physica A: Statistical Mechanics and its Applications 391(22) 5672 (2012) https://doi.org/10.1016/j.physa.2012.05.070
Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences
Laurent Boudin and Francesco Salvarani Modeling and Simulation in Science, Engineering and Technology, Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences 245 (2010) https://doi.org/10.1007/978-0-8176-4946-3_10
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
Bertram Düring, Peter Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465(2112) 3687 (2009) https://doi.org/10.1098/rspa.2009.0239