Optimization of consensus time by combining the voter and the majority voter models on scale-free networks

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We introduce a spin model combining the majority voter model with probability p and the voter model with probability 1 - p and then measure its consensus time on scale-free networks with various degree exponents gamma. We find that consensus time depends on both p and gamma. When all spins follow either the voter model or the majority voter model, it takes much greater time to reach consensus. On the other hand, when spins may alternate between the majority voter model and the voter model, consensus time is shortened. We find via numerical calculation that the optimized ratio to minimize consensus time is around p = 0.72. Copyright (c) EPLA, 2009
Publisher
EPL ASSOCIATION
Issue Date
2009-10
Language
English
Article Type
Article
Citation

EPL, v.88, no.2

ISSN
0295-5075
DOI
10.1209/0295-5075/88/20009
URI
http://hdl.handle.net/10203/207241
Appears in Collection
RIMS Journal Papers
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