Statistical physics of social dynamics
Claudio Castellano, Santo Fortunato, Vittorio Loreto (2009)
Summary
Framework
Ising model
- Given the Hamiltonian, wouldn't that mean that agents are biased towards being whatever is set to the negative state?
- TODO: Read "Stat phys of soc dyn" section on this wayy more thoroughly
- TODO: try with toy example
Network topology
- Agents sit on vertices of a network, and the edges define possible interaction patterns
- Types of synthetic network models
- Random graph (ER model)
- Small-world
- Scale-freea
- Prototype homogenous network model is the random graph (ER model)
- See notes on synthetic network structures
Dynamical systems
Notes
- Discusses several aspects of the basic question: "how do the interactions between social agents create order out of an initial disordered situation?"
- Order meaning consensus, agreement, uniformity
- Key factor: agents interact and this tends to make people more similar; repeated interactions lead to higher degrees of homogeneity
- The modeling of social agents using simple models involves a large amount of simplification; the investigation of social dynamics models invovles two levels of difficulty:
- Defining sensible and realistic microscopic models
- Inferring macroscopic phenomenology out of the microscopic dynamics of such models
- While justifiably receiving criticism for too much simplification, statistical physics models of social systems
-
Common theme of social dynamics is the transition from an initial disordered state to a configuration that displays order