posted on 2025-08-27, 10:55authored byGiulia Rotundo, Roy Cerqueti, Gurjeet Dhesi, Claudiu Herteliu, Parmjit Kaur, Marcel AusloosMarcel Ausloos
<p dir="ltr">This work proposes a hybrid model that combines the Galam model of opinion dynamics<br>with the Bass diffusion model used in technology adoption on Barabasi–Albert complex<br>networks. The main idea is to advance a version of the Bass model that can suitably<br>describe an opinion formation context while introducing irreversible transitions from<br>group B (opponents) to group A (supporters). Moreover, we extend the model to take into<br>account the presence of a charismatic competitor, which fosters conversion back to the<br>old technology. The approach is different from the introduction of a mean field due to the<br>interactions driven by the network structure. Additionally, we introduce the Kolmogorov–<br>Sinai entropy to quantify the system’s unpredictability and information loss over time. The<br>results show an increase in the regularity of the trajectories as the preferential attachment<br>parameter increases.</p>
Funding
This research received partial funding under the project “A better understanding of socio-economic systems using Quantitative Methods from Physics”, funded by the European Union—Next generation EU and the Romanian Government under the National Recovery and Resilience Plan for Romania, contract no.760034/23.05.2023, code PNRR-C9-I8-CF 255/29.11.2022, through the Romanian Ministry of Research, Innovation and Digitalization, within Component 9, “Investment I8” & the European Union–Next Generation EU, Project PRIN2022 “Networks: decomposition, clustering and community detection” code: 2022NAZ0365 – CUP H53D23002510006 & Departmental project Sapienza University of Rome “Leaving No One Behind: Methods for Sustainability” Protocollo nr.: RD124190DA1146AA – CUP: B83C24007080005.