Helbing Quantitative Sociodynamics

Stochastic Methods and Models of Social Interaction Processes
Erscheinungsjahr 2013
ISBN: 978-94-015-8516-3
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 31, 339 Seiten, eBook

Reihe: Theory and Decision Library B

presents a general strategy for interdisciplinary model building and its application to a quantitative description of behavioural changes based on social interaction processes. Originally, the crucial methods for the modeling of complex systems (stochastic methods and nonlinear dynamics) were developed in physics but they have very often proved their explanatory power in chemistry, biology, economics and the social sciences.
provides a unified and comprehensive overview of the different stochastic methods, their interrelations and properties. In addition, it introduces the most important concepts from nonlinear dynamics (synergetics, chaos theory). The applicability of these fascinating concepts to social phenomena is carefully discussed. By incorporating decision-theoretical approaches a very fundamental dynamic model is obtained which seems to open new perspectives in the social sciences. It includes many established models as special cases, e.g. the logistic equation, the gravity model, some diffusion models, the evolutionary game theory and the social field theory, but it also implies numerous new results. Examples concerning opinion formation, migration, social field theory; the self-organization of behavioural conventions as well as the behaviour of customers and voters are presented and illustrated by computer simulations.
is relevant both for social scientists and natural scientists who are interested in the application of stochastic and synergetics concepts to interdisciplinary topics.

Zielgruppe

Research

Autoren/Hrsg.

Helbing, D.

Weitere Mitwirkende

Calek, Richard

Helbing, D.

Inhaltsverzeichnis

and Summary.- I Stochastic Methods and Non-Linear Dynamics.- 1 Master Equation in State Space.- 2 Boltzmann-Like Equations.- 3 Master Equation in Configuration Space.- 4 The Fokker-Planck Equation.- 5 Langevin Equations and Non-Linear Dynamics.- II Quantitative Models of Social Processes.- 6 Problems and Terminology.- 7 Decision Theoretical Specification of the Transition Rates.- 8 Opinion Formation Models.- 9 Social Fields and Social Forces.- 10 Evolutionary Game Theory.- 11 Determination of the Model Parameters from Empirical Data.- List of Symbols.- Notation and Conventions.- Frequently Occuring Symbols.- Greek Symbols.- Operators and Special Symbols.- References.