Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models

DOI10.1016/0378-4371(93)90034-2zbMath0804.92030arXivcond-mat/9805384OpenAlexW2071171834MaRDI QIDQ1330377

Dirk Helbing

Publication date: 19 January 1995

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9805384

zbMATH Keywords

competitionsocial normscooperationlogistic equationgravity modelBoltzmann-like equationspublic opinionKramers-Moyal expansionavoidance processesBoltzmann- Fokker-Planck equationsgame dynamical equationsimitative processessocial fieldssocial forcessocial pair interactionsspatial exchange processes

Mathematics Subject Classification ID

Kinetic theory of gases in time-dependent statistical mechanics (82C40) Spatial models in sociology (91D25) Applications of statistical mechanics to specific types of physical systems (82D99) Mathematical sociology (including anthropology) (91D99)

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Opinion dynamics: kinetic modelling with mass media, application to the Scottish independence referendum ⋮ Concentration effects in a kinetic model with wealth and knowledge exchanges ⋮ A contracted path integral solution of the discrete master equation ⋮ Social control and the social contract: the emergence of sanctioning systems for collective action ⋮ Network structured kinetic models of social interactions ⋮ Modelling opinion formation by means of kinetic equations ⋮ Fitness-based models and pairwise comparison models of evolutionary games are typically different—even in unstructured populations ⋮ Keep right or left? Towards a cognitive-mathematical model for pedestrians

Cites Work

• Stochastic nonlinear systems in physics, chemistry, and biology. Proceedings of the Workshop, Bielefeld, Fed. Rep. of Germany, October 5- 11, 1980
• Selfregulation of behaviour in animal societies. III. Games between two populations with selfinteraction
• Theory of selforganization and evolution: The role of entropy, value and information
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• Brownian Motion from Boltzmann's Equation
• Brownian motion in a field of force and the diffusion model of chemical reactions
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