On the role of volatility in the evolution of social networks

D. De Martino () and M. Marsili

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 65, issue 4, 595-600

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. Copyright Springer 2008

Keywords: 89.65.-s Social and economic systems; 05.70.Fh Phase transitions: general studies; 64.60.aq Networks (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00365-8

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