Kinetic modelling of multiple interactions in socio-economic systems

DOI10.3934/nhm.2020029zbMath1451.35103arXiv1910.13843OpenAlexW2982468828MaRDI QIDQ828471

Giuseppe Toscani, Andrea Tosin, Mattia Zanella

Publication date: 8 January 2021

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13843

zbMATH Keywords

Fokker-Planck equationlinearised kinetic modelsmultiple-collision Boltzmann equation

Mathematics Subject Classification ID

Models of societies, social and urban evolution (91D10) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (6)

Relativistic kinetic theory of polyatomic gases: classical limit of a new hierarchy of moments and qualitative analysis ⋮ Concentration effects in a kinetic model with wealth and knowledge exchanges ⋮ Kinetic models for systems of interacting agents with multiple microscopic states ⋮ Network structured kinetic models of social interactions ⋮ Optimal control about multi-agent wealth exchange and decision-making competence ⋮ Propagation of chaos: a review of models, methods and applications. II: Applications

Cites Work

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• Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty
• Binary Interaction Algorithms for the Simulation of Flocking and Swarming Dynamics
• Kinetic models for optimal control of wealth inequalities

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