Journal ArticleDOI
Binary Opinion Dynamics with Stubborn Agents
Ercan Yildiz,Asuman Ozdaglar,Daron Acemoglu,Amin Saberi,Anna Scaglione +4 more
- Vol. 1, Iss: 4, pp 19
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TLDR
It is shown that the presence of stubborn agents with opposing opinions precludes convergence to consensus; instead, opinions converge in distribution with disagreement and fluctuations.Abstract:
We study binary opinion dynamics in a social network with stubborn agents who influence others but do not change their opinions. We focus on a generalization of the classical voter model by introducing nodes (stubborn agents) that have a fixed state. We show that the presence of stubborn agents with opposing opinions precludes convergence to consensus; instead, opinions converge in distribution with disagreement and fluctuations. In addition to the first moment of this distribution typically studied in the literature, we study the behavior of the second moment in terms of network properties and the opinions and locations of stubborn agents. We also study the problem of optimal placement of stubborn agents where the location of a fixed number of stubborn agents is chosen to have the maximum impact on the long-run expected opinions of agents.read more
Citations
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Journal ArticleDOI
Transmission errors and influence maximization in the voter model
TL;DR: The effects of mistakes in opinion propagation in the voter model on strategic influence maximization are analyzed and it is found that the regime of optimal hub control is the larger, the more heterogeneous the social network and the smaller the more resources both available to the influencers.
Proceedings ArticleDOI
Performance Analysis of Online Social Platforms
TL;DR: In this paper, an original mathematical model to analyze the diffusion of posts within a generic online social platform is introduced, which takes into account not only the social graph structure, but also the platform design, user activity (self-and re-posting), as well as competition among posts.
Posted Content
On a Modified DeGroot-Friedkin Model of Opinion Dynamics
Zhi Xu,Ji Liu,Tamer Basar +2 more
TL;DR: It is shown that for the modified model, the vector of individuals' self-confidence levels converges to a unique nontrivial equilibrium which for each individual is equal to 1 over n, where n is the number of individuals and implies that eventually individuals reach a democratic state.
Journal ArticleDOI
Forecasting elections results via the voter model with stubborn nodes
TL;DR: A novel method to forecast the result of elections using only official results of previous ones is proposed, based on the voter model with stubborn nodes and uses theoretical results developed in a previous work of the authors'.
Journal ArticleDOI
A bistable belief dynamics model for radicalization within sectarian conflict
TL;DR: In this article, a two-variable model to describe spatial polarization, radicalization, and conflict is introduced, where individuals harbor a continuous belief variable as well as a discrete radicalization level expressing their tolerance to neighbors with different beliefs.
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