A Mathematical Model for the Behavior of Individuals in a Social Field

Abstract

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the environment) but also by the interactions of individuals. Two important kinds of interaction processes are distinguished: Imitative and avoidance processes. Variations of individual behavior are taken into account by ``diffusion coefficients''.

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

References in corpus (3)

• A Fluid Dynamic Model for the Movement of Pedestrians
• Interrelations between Stochastic Equations for Systems with Pair Interactions
• Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory

Cited by in corpus (7)

• Traffic and Related Self-Driven Many-Particle Systems
• Phase transitions in social impact models of opinion formation
• A stochastic behavioral model and a `microscopic' foundation of evolutionary game theory
• Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach
• Drift reversal in asymmetric coevolutionary conflicts: Influence of microscopic processes and population size
• Game Theoretical Interactions of Moving Agents
• A Mathematical Model for Attitude Formation by Pair Interactions