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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 13: Social Systems, Opinion and Group Dynamics
SOE 13.2: Vortrag
Mittwoch, 2. April 2014, 10:30–10:45, GÖR 226
Age-dependent voter model — •Toni Pérez1, Konstantin Klemm2, and Victor M. Eguíluz1 — 1Institute of Cross-Disciplinary Physics and Complex Systems (IFISC), Spain — 2Institute for Theoretical Chemistry, University of Vienna, Austria
The dynamics of adoption of different features such as innovations, opinions, or ideas is a topic that has attracted the attention of researchers from disciplines as diverse as Economics, Sociology, and Physics. The complex composition of modern societies allows for conservative groups, who hold traditional ideas for a long time, to coexist with groups of people open to fast innovation. This fact, however, has not been translated yet to the diverse variety of innovation models. Here we consider a model that takes into account the time an individual has held its feature (opinion, idea, or innovation). Specifically, we address the question of how the time since adoption of a feature by an individual influences its spreading. As one of our analytical results, we determine the expected time a new created feature takes to fixate, i.e. be adopted by the whole system. With N individuals in a well-mixed population, the scaling of fixation time S(N) ranges from S(N)∼ log(N) to S(N)∼ exp(N), depending on the microscopic spreading rule giving preference to recently adopted or long conserved features.