The threshold model with anticonformity under random sequential updating

Bartlomiej Nowak (), Michel Grabisch and Katarzyna Sznajd-Weron
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Bartlomiej Nowak: Department of Theoretical Physics, Wroclaw University of Science and Technology

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We study an asymmetric version of the threshold model with anticonformity under asynchronous update mode that mimics continuous time. We study this model on a complete graph using three different approaches: 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 the thresholds are given by a beta distribution parametrized by two positive shape parameters alpha and béta. 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, arise only for values of alpha and béta that yield the shape of the distribution observed in real social systems

Keywords: opinion dynamics; threshold model; anticonformity; mean-field approximation; Markov chain (search for similar items in EconPapers)
JEL-codes: C7 D7 D85 (search for similar items in EconPapers)
Pages: 11 pages
Date: 2022-01
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Citations: View citations in EconPapers (1)

Published in Physical Review E., 105, 5, 2022, pp. 054314

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Related works:
Working Paper: The threshold model with anticonformity under random sequential updating (2022)
Working Paper: Threshold model with anticonformity under random sequential updating (2022)
Working Paper: The threshold model with anticonformity under random sequential updating (2022)
Working Paper: Threshold model with anticonformity under random sequential updating (2022)
Working Paper: Threshold model with anticonformity under random sequential updating (2022)
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