Majority-vote dynamics on multiplex networks with two layers

Abstract

Majority-vote model is a much-studied model for social opinion dynamics of\ntwo competing opinions. With the recent appreciation that our social network\ncomprises a variety of different layers forming a multiplex network, a natural\nquestion arises on how such multiplex interactions affect the social opinion\ndynamics and consensus formation. Here, the majority-vote model will be studied\non multiplex networks to understand the effect of multiplexity on opinion\ndynamics. We will discuss how global consensus is reached by different types of\nvoters: AND- and OR-rule voters on multiplex-network and voters on\nsingle-network system. The AND-model reaches the largest consensus below the\ncritical noise parameter qc. It needs, however, much longer time to reach\nconsensus than other models. In the vicinity of the transition point, the\nconsensus collapses abruptly. The OR-model attains smaller level of consensus\nthan the AND-rule but reaches the consensus more quickly. Its consensus\ntransition is continuous. The numerical simulation results are supported\nqualitatively by analytical calculations based on the approximate master\nequation.\n