Abstract
In this paper, we develop a novel model of opinion dynamics that takes into account the variability of self-confidence. This agent-based model aims at combining both opinion and self-confidence, two notions often assimilated in many modeling works, although well distinct in practice. We analyze our model under two types of opinion space, namely a standard interval and a circular structure under which the system presents some intriguing specificity. We give some insights concerning the global equilibria of the co-evolving dynamics, and also highlight some salient features of the global system’s trajectory. Finally, we conduct several numerical simulations to support the analytical results.
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References
Ahn, H.-S., Van Tran, Q., Trinh, M.H., Ye, M., Liu, J., Moore, K.L.: Opinion dynamics with cross-coupling topics: modeling and analysis. IEEE Trans. Comput. Soc. Syst. 7(3), 632–647 (2020)
Ye, M., Trinh, M.H., Lim, Y.-H., Anderson, B.D.O., Ahn, H.-S.: Continuous-time opinion dynamics on multiple interdependent topics. Automatica 115, 108884 (2020)
Rainer, H., Krause, U.: Opinion dynamics and bounded confidence: models, analysis and simulation. J. Artif. Soc. Soc. Simul. (JASSS) 5(3) (2002)
Blondel, V.D., Hendrickx, J.M., Tsitsiklis, J.N.: On Krause’s multi-agent consensus model with state-dependent connectivity. IEEE Trans. Autom. Control 54(11), 2586–2597 (2009)
Kurahashi-Nakamura, T., Mäs, M., Lorenz, J.: Robust clustering in generalized bounded-confidence models. JASSS-J. Artif. Soc. Soc. Simul. 19(4), 7 (2016)
Perrier, R., Schawe, H., Hernández, L.: Phase coexistence in the fully heterogeneous Hegselmann-Krause opinion dynamics model. Sci. Rep. 14(1), 241 (2024)
Bernardo, C., Altafini, C., Proskurnikov, A., Vasca, F.: Bounded confidence opinion dynamics: a survey. Automatica 159, 111302 (2024)
Chen, G., et al.: Deffuant model on a ring with repelling mechanism and circular opinions. Phys. Rev. E 95(4), 042118 (2017)
Gao, S., Huang, C., Han, W., Yang, J.: General consensus with circular opinion under attractive and repulsive mechanisms. Int. J. Mod. Phys. C 31(05), 2050068 (2020)
Hegarty, P., Martinsson, A., Wedin, E.: The Hegselmann-Krause dynamics on the circle converge. J. Differ. Equ. Appl. 22(11), 1720–1731 (2016)
Jia, P., MirTabatabaei, A., Friedkin, N.E., Bullo, F.: Opinion dynamics and the evolution of social power in influence networks. SIAM Rev. 57(3), 367–397 (2015)
Ye, M., Liu, J., Anderson, B.D.O., Yu, C., Başar, T.: Evolution of social power in social networks with dynamic topology. IEEE Trans. Autom. Control 63(11), 3793–3808 (2018)
Ding, Z., Chen, X., Dong, Y., Herrera, F.: Consensus reaching in social network DeGroot model: the roles of the self-confidence and node degree. Inf. Sci. 486, 62–72 (2019)
Wang, C.: An opinion dynamics model with increasing self-confidence. arXiv preprint arXiv:1609.05732 (2016)
Economides, N., Flyer, F.: Compatibility and market structure for network goods. NYU Stern School of Business Discussion Paper (98-02) (1997)
Björkegren, D.: The adoption of network goods: evidence from the spread of mobile phones in Rwanda. Rev. Econ. Stud. 86(3), 1033–1060 (2019)
Acknowledgments
This work has been fully supported by the Agence Nationale de la Recherche (ANR), through the project NICETWEET (ANR-20-CE48-0009).
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Kravitzch, E., Varma, V.S., Berthet, A.O., Hayel, Y. (2025). Opinion and Self-confidence in Influence Networks: A Coupled Dynamics Model. In: Aiello, L.M., Chakraborty, T., Gaito, S. (eds) Social Networks Analysis and Mining. ASONAM 2024. Lecture Notes in Computer Science, vol 15213. Springer, Cham. https://doi.org/10.1007/978-3-031-78548-1_6
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DOI: https://doi.org/10.1007/978-3-031-78548-1_6
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