Syllabus

 

At UCLA - ÝÝÝÝÝÝÝÝÝÝÝ Sociology281, Selected Problems in Mathematical Sociology

At UCI - ÝÝÝÝÝÝÝÝÝÝÝ Anthropology 289 B Special Topics:Collective Dynamics

Social Networks 249 B Special Topics:Collective Dynamics

 

 

CHAOS, FRACTALS, AND COMPLEXITY, AND SELF-ORGANIZINGSYSTEMS

 

Per Bak. 1996. How Nature Works: The Science ofself-organized criticality. New York, NY: Copernicus.

 

Gary William Flake. 1999. The Computational Beauty ofNature. Cambridge, MA: MIT Press.

 

Stuart A. Kauffman. 2000. Investigations. Oxford; New York:Oxford University Press.

 

AGENTS, Ý EVOLUTION, Ý AND AGENT-BASEDMODELING

 

Thomas C. Schelling. 1978. Micromotives and Macrobehavior.New York: Norton.

 

Robert M. Axelrod. Ý 1997. The Complexity of Cooperation: Agent-based Models of Cooperationand Collaboration. Ý Princeton: PrincetonUniversity Press.

 

Brian Skyrms. 1996. Evolution of the Social Contract.Cambridge: Cambridge University Press.

 

Mitchel Resnick. Turtles, Termites, and Traffic Jams. 1997MIT Press.

 

NETWORKS

 

Duncan J. Watts. 1999. Small Worlds: The Dynamics ofNetworks between Order and Randomness. Princeton: Princeton University Press.

 

Readings, by Week (All books are on reserve in theGraduate Reserve Service in the Research Library)

 

 

Week	Topic	Readings
1	Introduction	Bak, Chapter 1 Flake, Chapter 1
2	Chaos and fractals	Flake, Chapters 5, 10, 11
3	Complexity	Bak, all The Controversy over SOC (Self-Organized Criticality)
4	Agent-based modeling-I	Resnik, Chapters 1, 3 Flake, Chapter15
5	Agent-based modeling-II	Flake, Chapter 16 Schelling, pp 1-24, 91-110, 137-155
6	Evolutionary game theory-I	Skyrms, all Flake, Chapter 17
7	Evolutionary game theory-II	Axelrod, Chapters 1, 2, 3 Flake, Chapter 20
8	Artificial life	Kaufman, Chapters 2, 3, 8
9	Networks and complexity	Watts
10	Networks and complexity, continued	Watts
ucla home	Class Links	Networks and Complexity Class w3233 tt110