Hybrid Galam--Bass Model for Technology Innovation

Fuente: arXiv
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Autori principali: Rotundo, Giulia, Cerqueti, Roy, Dhesi, Gurjeet, Herteliu, Claudiu, Kaur, Parmjit, Ausloos, Marcel
Natura: Preprint
Pubblicazione: 2025
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author Rotundo, Giulia
Cerqueti, Roy
Dhesi, Gurjeet
Herteliu, Claudiu
Kaur, Parmjit
Ausloos, Marcel
author_facet Rotundo, Giulia
Cerqueti, Roy
Dhesi, Gurjeet
Herteliu, Claudiu
Kaur, Parmjit
Ausloos, Marcel
contents This work proposes a hybrid model that combines the Galam model of opinion dynamics with the Bass diffusion model used in technology adoption on Barabasi-Albert complex networks. The main idea is to advance a version of the Bass model that can suitably describe an opinion formation context while introducing irreversible transitions from group B (opponents) to group A (supporters). Moreover, we extend the model to take into account the presence of a charismatic competitor, which fosters conversion back to the old technology. The approach is different from the introduction of a mean field due to the interactions driven by the network structure. Additionally, we introduce the Kolmogorov-Sinai entropy to quantify the system's unpredictability and information loss over time. The results show an increase in the regularity of the trajectories as the preferential attachment parameter increases.
format Preprint
id arxiv_https___arxiv_org_abs_2509_07275
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hybrid Galam--Bass Model for Technology Innovation
Rotundo, Giulia
Cerqueti, Roy
Dhesi, Gurjeet
Herteliu, Claudiu
Kaur, Parmjit
Ausloos, Marcel
Physics and Society
Adaptation and Self-Organizing Systems
This work proposes a hybrid model that combines the Galam model of opinion dynamics with the Bass diffusion model used in technology adoption on Barabasi-Albert complex networks. The main idea is to advance a version of the Bass model that can suitably describe an opinion formation context while introducing irreversible transitions from group B (opponents) to group A (supporters). Moreover, we extend the model to take into account the presence of a charismatic competitor, which fosters conversion back to the old technology. The approach is different from the introduction of a mean field due to the interactions driven by the network structure. Additionally, we introduce the Kolmogorov-Sinai entropy to quantify the system's unpredictability and information loss over time. The results show an increase in the regularity of the trajectories as the preferential attachment parameter increases.
title Hybrid Galam--Bass Model for Technology Innovation
topic Physics and Society
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2509.07275