Directed propaganda in the majority-rule model

Abstract

Advertisement and propaganda have changed continuously in the past decades, mainly due to the people's interactions at online platforms and social networks, and operate nowadays reaching a highly specific online audience instead targeting the masses. The impacts of this new media effect, oriented directly for a specific audience, is investigated on this study, in which we focus on the opinion evolution of agents in the majority-rule model, considering the presence of directed propaganda. We introduce $p$ as the probability of a "positive" external propaganda and $q$ as the probability to the agents follow the external propaganda. Our results show that the usual majority-rule model stationary state is reached, with a full consensus, only for two cases, namely when the external propaganda is absent or when the media favors only one of the two opinions. However, even for a small influence of external propaganda, the final state is reached with a majority opinion dominating the population. For the case in which the propaganda influence is strong enough among the agents, we show that the consensus can not be reached at all, and we observe the polarization of opinions. In addition, we show through analytical and numerical results that the system undergoes an order-disorder phase transition that occurs at $q_c=1/3$ for the case $p=0.5$.

arXiv commentAccepted for publication in International Journal of Modern Physics C

References in corpus (20)

• Modularity and community structure in networks
• Finding community structure in networks using the eigenvectors of matrices
• Statistical physics of social dynamics
• Minority Opinion Spreading in Random Geometry
• Sociophysics: A review of Galam models
• Dynamics of Majority Rule
• Application of Statistical Physics to Politics
• Spreading gossip in social networks
• Disorder induced phase transition in kinetic models of opinion dynamics
• Role of conviction in nonequilibrium models of opinion formation
• Effects of mass media on opinion spreading in the Sznajd sociophysics model
• Modeling how social network algorithms can influence opinion polarization
• Inflexibility and independence: Phase transitions in the majority-rule model
• Consequence of reputation in the Sznajd consensus model
• The Sznajd model with limited persuasion: competition between high-reputation and hesitant agents
• Divergence and Consensus in Majority Rule
• The external field effect on the opinion formation based on the majority rule and the $q$-voter models on the complete graph
• The first shall be last: selection-driven minority becomes majority
• Noise-induced absorbing phase transition in a model of opinion formation
• A simple branching model that reproduces language family and language population distributions