Phenomenological Models of Socio-Economic Network Dynamics

Details Phenomenological Models of Socio-Economic Network Dynamics Phenomenological Models of Socio-Economic Network Dynamics

2006-04-05

arxiv.org/abs/physics/0604036v1

Physics

Physics and Society

11 pages, 8 figures

Scientific paper

10.1103/PhysRevE.74.036106

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.

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