Abstract
AbstractSome novel models of opinion dynamics are here formulated in terms of ordinary and of stochastic differential equations. The focus is on the possible emergence of polarization phenomena. Alongside attitudes and mechanisms related to individual-individual interactions, issues such as the influence of persuaders, acting perhaps on different time-scales, and uncertainty are taken into account. The existence of stationary solutions corresponding to polarized opinion distributions, together with their stability or instability properties, is established in correspondence to different parameter values.
Funder
Libera Università di Bolzano
Publisher
Springer Science and Business Media LLC
Reference30 articles.
1. Deffuant, G., Neau, D., Amblard, F., & Weisbuch, G. (2000). Mixing beliefs among interacting agents. Advances in Complex Systems, 3, 87–98.
2. Hegselmann, R., & Krause, U. (2002). Opinion dynamics and bounded confidence models, analysis and simulation. Journal of Artificial Societies and Social Simulation, 5(3), 55–56.
3. Ben-Naim, E., Krapivsky, P. L., & Redner, S. (2003). Bifurcations and patterns in compromise processes. Physica D, 183, 190–204.
4. Toscani, G. (2006). Kinetic models of opinion formation. Communications in Mathematical Sciences, 4, 481–496.
5. Düring, B., Markowich, P., Pietschmann, J. F., & Wolfram, M. T. (2009). Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Proceedings of the Royal Society A, 465, 3687–3708.