Introduction: Formal dynamic models and simulation in sociology (week 1)
Introductions
Instructor: see: http://faculty.ucr.edu/~hanneman/
Who is participating? What are your interests? What is your background?
Post an introduction to the course web-site discussion forum (via course web site: http://wcb.ucr.edu/ )
Course administration:
Meet each Wednesday 3:10 to 6:00pm, Watkins 2149 ("Wizard" lab) if you don't have a door code, see me.
Requirements: Discussion, reading, in-class exercises, final paper (presentation, week 10). Auditors welcome.
Pre-requisites: Social science theory courses useful; basic PC-Windows skills; will limit mathematical requirements.
Quick tour of the course web-site.
Purposes of the course:
Two main goals:
Understand formal dynamic models as theory construction
Become familiar with some of the major lines of contemporary workTwo lesser goals:
Develop your own models, learn some software
Become familiar with, and think about "chaos" "complexity" and other current concepts in scientific theorizing (mostly outside social sciences).
Course overview:
Formal dynamic models and theory construction; simulation experiments and languages
Contemporary issues in dynamics: Chaos, complexity, embedding, evolution
Bottom-up (Agent-based) models
Space, networks, cellular automata
Games and exchange relations
Learning and evolution
Top-down (Systems) models
Models of aggregates - demographic models
Abstract systems of variables
Systems and sub-systems: convergence with agent models
Statics
Classification and taxonomy to develop theory
Statics as "snap-shots" of the state space
Weber's ideal types
Selective affinity as equilibrium tendency
Weakness of causal explanation in staticsDynamics: three approaches
Difference equations
Differential equations
Rule-based agent systems
Dynamics as theories of effects on rates of changeModels and Theories
What is a theory?
inter-related propositions stated in variables
is an algorithm a theory?What is a model?
A model as a theory (mathematical models)
A stylized application of the abstract laws of motionWorking with theories by simulation
Model construction as theory specification
boundaries, limits, time and space dimensions of effects
Understanding and evaluating theory by simulation
Deductions: long-term equilibrium evaluation
Descriptions: characteristic historical patterns
Sensitivity analysis (states, relational forms, important processes)
Sensitivity to initial conditions: equilibrium, periodic, and chaotic behavior