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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 9: Opinion Formation
SOE 9.4: Talk
Wednesday, March 24, 2021, 12:00–12:20, SOEa
Opinion Formation in distributed topologies: the voter model on hierarchical networks — •Kateryna Isirova1,2, Oleksandr Potii2, and Jens Christian Claussen1 — 1Department of Mathematics, Aston University, Birmingham, UK — 2V. N. Karazin Kharkiv National University, Ukraine
The voter model is a paradigmatic stochastic model that has been widely employed especially for modeling of emergent social phenomena as opinion formation. Consensus formation protocols however also occur in the dynamics of computer networks, where the verification of nodes may become time-critical in large networks, and depend on the network topology. In society, consensus is formed (or not) via messages to neighbours in the network and likewise depends on the network structure. Here, we investigate the average time to consensus in a variety of different hierarchical and other network topologies, namely, small-world networks, various tree structures and hierarchical networks. For hierarchical networks, we consider the straightforward generalization where influencing a node occurs with different probability depending on the direction of hierarchy. Systemeatic Monte-Carlo simulations show that the average time to consensus in hierarchical networks is considerably larger than in regular graphs and small-world networks.