https://doi.org/10.1140/epjb/e2006-00049-5
Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms
1
Institute for Computational Physics, Universität Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany
2
Systemgestaltung, ETH Zentrum Kreuzplatz 5, F 27.2, 8032 Zurich, Switzerland
3
Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Brazil
Corresponding author: a marta@ica1.uni-stuttgart.de
Received:
6
October
2005
Revised:
8
December
2005
Published online:
17
February
2006
We present a renormalization approach to solve the Sznajd opinion formation model on complex networks. For the case of two opinions, we present an expression of the probability of reaching consensus for a given opinion as a function of the initial fraction of agents with that opinion. The calculations reproduce the sharp transition of the model on a fixed network, as well as the recently observed smooth function for the model when simulated on a growing complex networks.
PACS: 89.65.-s – Social and economic systems / 89.75.Fb – Structures and organization in complex systems / 02.70.Uu – Applications of Monte Carlo methods / 07.05.Tp – Computer modeling and simulations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
