Year: 2022
Type: article
Abstract: We study an asymmetric version of the threshold model of binary decision making with anticonformity under an asynchronous update mode that mimics continuous time. We analyze this model on a complete graph using three different approaches: the mean-field approximation, Monte Carlo simulation, and the Markov chain approach. The latter approach yields analytical results for arbitrarily small systems, in contrast to the mean-field approach, which is strictly correct only for an infinite system. We show that, for sufficiently large systems, all three approaches produce the same results, as expected. We consider two cases: (1) homogeneous, in which all agents have the same tolerance threshold, and (2) heterogeneous, in which thresholds are given by a beta distribution parametrized by two positive shape parameters α and β. The heterogeneous case can be treated as a generalized model that reduces to a homogeneous model in special cases. We show that particularly interesting behaviors, including social hysteresis and critical mass reported in innovation diffusion, arise only for values of α and β that yield the shape of the distribution observed in reality.
Source: Physical review. E
Authors: Bartłomiej Nowak, Michel Grabisch, Katarzyna Sznajd-Weron
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: Narodowe Centrum Nauki
Award: G6441139442
OpenAlex ID: W4221165464