Hybrid Galam-Bass model for technology innovation

Rotundo, Giulia, Cerqueti, Roy, Dhesi, Gurjeet, Herteliu, Claudiu, Kaur, Parmjit and Ausloos, Marcel (2025) Hybrid Galam-Bass model for technology innovation. Entropy, 27 (8) (789). pp. 1-14. ISSN 1099-4300

Abstract

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.

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