Phenomenological Models of Socio-Economic Network Dynamics

Abstract

We study a general set of models of social network evolution and dynamics. The models consist of both a dynamics on the network and evolution of the network. Links are formed preferentially between 'similar' nodes, where the similarity is defined by the particular process taking place on the network. The interplay between the two processes produces phase transitions and hysteresis, as seen using numerical simulations for three specific processes. We obtain analytic results using mean field approximations, and for a particular case we derive an exact solution for the network. In common with real-world social networks, we find coexistence of high and low connectivity phases and history dependence.

11 pages, 8 figures

Cited by in corpus (9)

• Statistical physics of social dynamics
• Critical phenomena in complex networks
• Adaptive Coevolutionary Networks: A Review
• Generic Absorbing Transition in Coevolution Dynamics
• Robust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure
• Fundamental statistical features and self-similar properties of tagged networks
• Socioeconomic Networks with Long-Range Interactions
• Dynamics-Driven Evolution to Structural Heterogeneity in Complex Networks
• On the role of volatility in the evolution of social networks