Graph-Theoretic Analysis of Belief System Dynamics under Logic Constraints
Abstract
Opinion formation cannot be modeled solely as an ideological deduction from a set of principles; rather, repeated social interactions and logic constraints among statements are consequential in the construct of belief systems. We address three basic questions in the analysis of social opinion dynamics: (i) Will a belief system converge? (ii) How long does it take to converge? (iii) Where does it converge? We provide graph-theoretic answers to these questions for a model of opinion dynamics of a belief system with logic constraints. Our results make plain the implicit dependence of the convergence properties of a belief system on the underlying social network and on the set of logic constraints that relate beliefs on different statements. Moreover, we provide an explicit analysis of a variety of commonly used large-scale network models.
Cite
@article{arxiv.1810.02456,
title = {Graph-Theoretic Analysis of Belief System Dynamics under Logic Constraints},
author = {Angelia Nedić and Alex Olshevsky and César A. Uribe},
journal= {arXiv preprint arXiv:1810.02456},
year = {2019}
}