Opinion evolution in time-varying social influence networks with prejudiced agents

Abstract

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion pooling from (DeGroot, 1974), which can explain the generation of consensus, was elaborated in (Friedkin and Johnsen, 1999) to take into account individuals' ongoing attachments to their initial opinions, or prejudices. The "anchorage" of individuals to their prejudices may disable reaching consensus and cause disagreement in a social influence network. Further elaboration of this model may be achieved by relaxing its restrictive assumption of a time-invariant influence network. During opinion dynamics on an issue, arcs of interpersonal influence may be added or subtracted from the network, and the influence weights assigned by an individual to his/her neighbors may alter. In this paper, we establish new important properties of the (Friedkin and Johnsen, 1999) opinion formation model, and also examine its extension to time-varying social influence networks.

arXiv commentaccepted to IFAC World Congress 2017, Toulouse, France

References in corpus (9)

• The structure and function of complex networks
• Statistical physics of social dynamics
• A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part I
• Novel Multidimensional Models of Opinion Dynamics in Social Networks
• Opinion Dynamics in Social Networks with Hostile Camps: Consensus vs. Polarization
• Structural balance and opinion separation in trust-mistrust social networks
• Persuasion dynamics
• Is there negative social influence? Disentangling effects of dissimilarity and disliking on opinion shifts
• Distributed Evaluation and Convergence of Self-Appraisals in Social Networks

Cited by in corpus (10)

• A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part I
• A Tutorial on Modeling and Analysis of Dynamic Social Networks. Part II
• Opinion Dynamics of Online Social Network Users: A Micro-Level Analysis
• Recurrent Averaging Inequalities in Multi-Agent Control and Social Dynamics Modeling
• Friedkin-Johnsen Model with Diminishing Competition
• FJ-MM: The Friedkin-Johnsen Opinion Dynamics Model with Memory and Higher-Order Neighbors
• Community Structure Recovery and Interaction Probability Estimation for Gossip Opinion Dynamics
• Modelling heterogeneous outcomes in multi-agent systems
• Achieving consensus in networks of increasingly stubborn voters
• Graph-Theoretic Analysis of Belief System Dynamics under Logic Constraints