The polarization within and across individuals: the hierarchical Ising opinion model

Author:

van der Maas Han L J1,Dalege Jonas2,Waldorp Lourens2

Affiliation:

1. Institute of Advanced study, University of Amsterdam, Amsterdam, Netherlands and Department of Psychology, University of Amsterdam, Building G, Room 0.37, Nieuwe Achtergracht 129-B, 1018WS Amsterdam, Netherlands

2. Department of Psychology, University of Amsterdam, Amsterdam, Netherlands

Abstract

Abstract Polarization of opinions is a societal threat. It involves psychological processes as well as group dynamics, a popular topic in statistical physics. However, the interaction between the within individual dynamics of attitude formation and across person polarization is rarely studied. By modelling individual attitudes as Ising networks of attitude elements, and approximating this behaviour by the cusp singularity, we developed a fundamentally new model of social dynamics. In this hierarchical model, agents behave either discretely or continuously depending on their attention to the issue. At the individual level, the model reproduces the mere thought effect and resistance to persuasion. At the social level, the model implies polarization and the persuasion paradox. We propose a new intervention for escaping polarization in bounded confidence models of opinion dynamics.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,Control and Optimization,Management Science and Operations Research,Computer Networks and Communications

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