Social Systems and Their Simulations

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

The course is devoted to the issue of social systems modeling. That includes stochastic methods and methods of statistical physics for description and analytical solution of social interaction systems, implementation of particular models and comparison of the computer simulations results with the empirical data.

Requirements:

Basic course in Probability and mathematical statistics, statiscal physics, analysis of chaotic systems and programing in MATLAB (in the extent of the courses 01PRST, 01SM, 02TSFA, 01CHAOS, 18MTL held at the FNSPE CTU in Prague).

Syllabus of lectures:

1. Interdisciplinary aspects of quantitative sociodynamics, basic terminology,

2. Model classification, basic tools for simulation,

3. Cellular automata and interacting particle systems,

4. TASEP, Nagel-Schreckenberg model, Floor-field model,

5. Multi-lane komunications and cellular traffic models,

6. ODE based models,

7. Car-following models,

8. Social-force model of room evacuation,

9. Parametre calibration and validation,

10. Fundamental diagrams

11. Experimental studies,

12. Stationary state characteristics of models.

Syllabus of tutorials:

1. Computer simulation of particular models of social system,

2. The steady-state solution of chosen models,

3. Gaining and processing empirical data.

Study Objective:

Knowledge:

Mathematical description of systems with social interaction,

Overview of models used for social system simulation,

Application of stochastic methods to their description.

Abilities:

Implementation of the models in computer simulations,

Processing and comparison of simulation results with empirical data.

Study materials:

Key references:

[1] D. Helbing, Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes, Kluwer Academic, Dordrecht, 1995.

[2] A. Schadschneider, D. Chowdhury, K. Nishinari: Stochastic transport in conplex systems, Elsevier BV., Oxford, 2011.

[3] W. Weidlich, Sociodynamics - a systematic approach to mathematical modelling in the social sciences, CRC Press, 2000..

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: