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Social pressure in opinion dynamics

Research output: Contribution to journalArticle

Diodato Ferraioli, Carmine Ventre

Original languageEnglish
Pages (from-to)345-361
Number of pages17
JournalTheoretical Computer Science
Volume795
Early online date18 Jul 2019
DOIs
Publication statusPublished - 26 Nov 2019

King's Authors

Abstract

Motivated by privacy and security concerns in online social networks, we study the role of social pressure in opinion dynamics. These are dynamics, introduced in economics and sociology literature, that model the formation of opinions in a social network. We enrich some of the most classical opinion dynamics, by introducing the pressure, increasing with time, to reach an agreement.

We prove that for clique social networks, the dynamics always converges to consensus if the social pressure is high enough. Moreover, we provide (tight) bounds on the speed of convergence; these bounds are polynomial in the number of nodes in the network provided that the pressure grows sufficiently fast. We finally look beyond cliques: we characterize the graphs for which consensus is guaranteed, and make some considerations on the computational complexity of checking whether a graph satisfies such a condition.

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