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Binary Opinion Dynamics with Stubborn Agents

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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.

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Citations
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Journal ArticleDOI

Finite Time Bounds for Stochastic Bounded Confidence Dynamics

TL;DR: In this paper , a stochastic bounded condence (SBC) model for opinion evolution in social networks is proposed and analyzed using a two-agent system and a bistar graph.
Proceedings ArticleDOI

Targeting interventions for displacement minimization in opinion dynamics

TL;DR: In this paper , a min-max problem was formulated and solved for opinion displacement minimization on a social network, where a social planner (the defender) aims at selecting the optimal network intervention within her given budget constraint in order to minimize the opinion displacement in the system that an adversary (the attacker) is instead trying to maximize.
Journal ArticleDOI

Demarcating Endogenous and Exogenous Opinion Dynamics: An Experimental Design Approach

TL;DR: In this article, a suite of unsupervised classification methods based on experimental design approaches is proposed to select the subsets of events which minimize different measures of mean estimation error, and the associated objective functions are weakly submodular, which allows efficient approximation algorithms with guarantees.
Posted Content

Graph structure based Heuristics for Optimal Targeting in Social Networks

TL;DR: In this article, a dynamic model for competition in a social network is considered, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol.
Journal ArticleDOI

Graph Structure-Based Heuristics for Optimal Targeting in Social Networks

TL;DR: In this paper , the authors consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs, and the nonstrategic/regular agents adjust their states according to a distributed consensus protocol.
References
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Journal ArticleDOI

A Simple Model of Herd Behavior

TL;DR: In this article, the authors analyze a sequential decision model in which each decision maker looks at the decisions made by previous decision makers in taking her own decision, and they show that the decision rules that are chosen by optimizing individuals will be characterized by herd behavior.
Proceedings ArticleDOI

Maximizing the spread of influence through a social network

TL;DR: An analysis framework based on submodular functions shows that a natural greedy strategy obtains a solution that is provably within 63% of optimal for several classes of models, and suggests a general approach for reasoning about the performance guarantees of algorithms for these types of influence problems in social networks.
Journal ArticleDOI

A New Product Growth for Model Consumer Durables

TL;DR: A growth model for the timing of initial purchase of new products is developed and tested empirically against data for eleven consumer durables, and a long-range forecast is developed for the sales of color television sets.
Journal ArticleDOI

Maximizing the Spread of Influence through a Social Network

TL;DR: The problem of finding the most influential nodes in a social network is NP-hard as mentioned in this paper, and the first provable approximation guarantees for efficient algorithms were provided by Domingos et al. using an analysis framework based on submodular functions.
Book

Interacting Particle Systems

TL;DR: The construction, and other general results are given in this paper, with values in [0, ] s. The voter model, the contact process, the nearest-particle system, and the exclusion process.
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