Threshold model with anticonformity under random sequential updating

Bartłomiej Nowak (), Michel Grabisch and Katarzyna Sznajd-Weron
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Bartłomiej Nowak: Wroclaw University of Science and Technology

PSE-Ecole d'économie de Paris (Postprint) from HAL

Abstract: We study an asymmetric version of the threshold model of binary decision making with anticonformity under 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 parameterized 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.

Date: 2022
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03688785v1
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Published in Physical Review E , 2022, 105 (5), ⟨10.1103/PhysRevE.105.054314⟩

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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: The threshold model with anticonformity under random sequential updating (2022)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:halshs-03688785

DOI: 10.1103/PhysRevE.105.054314

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