In the standard q-voter model, a given agent can change its opinion only if there is a full consensus of the opposite opinion within a group of influence of size q. A more realistic extension is the threshold q voter, where a minimal agreement (at least 0
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http://dx.doi.org/10.1103/PhysRevE.101.052131 DOI Listing Publication Analysis
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Entropy (Basel)
March 2024
Faculty of Management, Wroclaw University of Science and Technology, 50-371 Wrocław, Poland.
During the COVID-19 pandemic, it became evident that the effectiveness of applying intervention measures is significantly influenced by societal acceptance, which, in turn, is affected by the processes of opinion formation. This article explores one among the many possibilities of coupled opinion-epidemic systems. The findings reveal either intricate periodic patterns or chaotic dynamics, leading to substantial fluctuations in opinion distribution and, consequently, significant variations in the total number of infections over time.
View Article and Find Full Text PDFEntropy (Basel)
February 2024
School for Computation, Information and Technology, TU München (TUM), 80333 Munich, Germany.
A unifying setup for opinion models originating in statistical physics and stochastic opinion dynamics are developed and used to analyze election data. The results are interpreted in the light of political theory. We investigate the connection between Potts (Curie-Weiss) models and stochastic opinion models in the view of the Boltzmann distribution and stochastic Glauber dynamics.
View Article and Find Full Text PDFEntropy (Basel)
January 2024
Department of Applied Mathematics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland.
Despite ample research devoted to the non-linear -voter model and its extensions, little or no attention has been paid to the relationship between the composition of the influence group and the resulting dynamics of opinions. In this paper, we investigate two variants of the -voter model with independence. Following the original -voter model, in the first one, among the members of the influence group, each given agent can be selected more than once.
View Article and Find Full Text PDFPhys Rev E
January 2024
Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland.
The q-voter model with independence is generalized to signed random graphs and studied by means of Monte Carlo simulations and theoretically using the mean-field approximation and different forms of the pair approximation. In the signed network with quenched disorder, positive and negative signs associated randomly with the links correspond to reinforcing and antagonistic interactions, promoting, respectively, the same or opposite orientations of two-state spins representing agents' opinions; otherwise, the opinions are called mismatched. With probability 1-p, the agents change their opinions if the opinions of all members of a randomly selected q neighborhood are mismatched, and with probability p, they choose an opinion randomly.
View Article and Find Full Text PDFPerspect Psychol Sci
March 2024
Department of Management Systems and Organization Development, Wrocław University of Science and Technology.
Hysteresis has been used to understand various social phenomena, such as political polarization, the persistence of the vaccination-compliance problem, or the delayed response of employees in a firm to wage incentives. The aim of this article is to show the insights that can be gained from using agent-based models (ABMs) to study hysteresis. To build up an intuition about hysteresis, we start with an illustrative example from physics that demonstrates how hysteresis manifests as collective memory.
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