Renormalizing Sznajd model on complex networks taking into account the effects of growth mechanisms
arXiv:cond-mat/0510123 · doi:10.1140/epjb/e2006-00049-5
Abstract
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.
5 pages, 7 figures
References in corpus (6)
- Statistical mechanics of complex networks
- Pseudofractal Scale-free Web
- Opinion Formation on a Deterministic Pseudo-fractal Network
- Consensus formation on a triad scale-free network
- Sznajd opinion dynamics with global and local neighbourhood
- Monte Carlo simulations of the Ising and the Sznajd model on growing Barabasi - Albert networks
Cited by in corpus (7)
- Statistical physics of social dynamics
- Evolving small-world scale-free networks consist of cliques
- Different topologies for a herding model of opinion
- Some new results on one-dimensional outflow dynamics
- Irreversible Opinion Spreading on Scale-Free Networks
- Opinion Diversity and Social Bubbles in Adaptive Sznajd Networks
- Combined update scheme in the Sznajd model