Advertising and irreversible opinion spreading in complex social networks
Juli\'an Candia

TL;DR
This paper models irreversible opinion spreading on complex networks using a magnetic Eden model, analyzing how advertising influences consensus formation and the effects of network topology and external fields.
Contribution
It introduces a novel application of the magnetic Eden model to study advertising effects on opinion spreading in complex networks.
Findings
Advertising can effectively induce consensus depending on network topology.
Order-disorder transitions are influenced by temperature, external fields, and network structure.
Optimal advertising strategies depend on campaign duration and network characteristics.
Abstract
Irreversible opinion spreading phenomena are studied on small-world and scale-free networks by means of the magnetic Eden model, a nonequilibrium kinetic model for the growth of binary mixtures in contact with a thermal bath. In this model, the opinion of an individual is affected by those of their acquaintances, but opinion changes (analogous to spin flips in an Ising-like model) are not allowed. We focus on the influence of advertising, which is represented by external magnetic fields. The interplay and competition between temperature and fields lead to order-disorder transitions, which are found to also depend on the link density and the topology of the complex network substrate. The effects of advertising campaigns with variable duration, as well as the best cost-effective strategies to achieve consensus within different scenarios, are also discussed.
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