Abstract.
We study how the volatility, node- or link-based, affects the evolution of social networks in simple models. The model describes the competition betweenorder – promoted by the efforts of agents to coordinate – and disorder induced byvolatility in the underlying social network.We find that when volatility affects mostly the decay of links, the model exhibit a sharp transition between an ordered phase with a dense network and a disordered phase with a sparse network. When volatility is mostly node-based, instead, only the symmetric (disordered) phase existsThese two regimes are separated by a second order phase transition of unusual type, characterized by an order parameter critical exponent β = 0+.We argue that node volatility has the same effect in a broader class of models, and provide numerical evidence in this direction.
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De Martino, D., Marsili, M. On the role of volatility in the evolution of social networks. Eur. Phys. J. B 65, 595 (2008). https://doi.org/10.1140/epjb/e2008-00365-8
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DOI: https://doi.org/10.1140/epjb/e2008-00365-8