Non-consensus Opinion Model in Complex Networks

It is important to be able to predict how ideas that compete with each other spread and evolve in society to develop effective strategies of communication and cooperative problem solving. The nature of the opinion dynamics in communities is studied using stochastic models of signal propagation in complex networks. By changing the network topology and the rules of dynamic simulation, we answer the question: at what point does the opinion of a minority become mainstream and how stable is the equilibrium in communities without consensus. The paper investigates 3 models: the classical Non-Consensus Opinion model, the Inflexible Contrarian Opinion model and the Non-Consensus model on the substrate of stochastic block network. After analysing such parameters as the sizes of largest and second largest connected components with the opinion of the minority, conclusions are drawn about the properties and stability of opinion dynamics equilibrium.