Social Power Evolution in Influence Networks With Stubborn Individuals

This article studies the evolution of social power in influence networks with stubborn individuals. We formulate two models grounded on Friedkin–Johnsen opinion dynamics and reflected appraisal mechanism; are defined over issue sequences a single issue, respectively. The key advance original DeGroot–Friedkin is that proposed include empirically observed phenomenon stubbornness are, therefore, more realistic. obtain various results about existence equilibria, their uniqueness, global attractivity. For example, we show single-issue issue-sequence have same equilibrium power. also depends only upon interpersonal accorded individuals’ several cases. Roughly speaking, individual has In comparison model, introduction leads to fundamental sociological differences: Full autocracy can never be achieved, whereas democracy achieved under all network topologies.