Consensus formation simulation in a social network modeling controversial opinion dynamics with pairwise interactions
| Autor: | A. Gallegos, Héctor Vargas-Rodríguez, Jorge Eduardo Macías-Díaz, María G. Medina-Guevara |
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| Rok vydání: | 2017 |
| Předmět: |
Mathematical optimization
Social network business.industry General Physics and Astronomy Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Computer Science Applications Variety (cybernetics) Nonlinear system Matrix (mathematics) Computational Theory and Mathematics Opinion dynamics 0103 physical sciences Pairwise comparison Artificial intelligence 010306 general physics business Finite set Mathematical Physics Social simulation Mathematics |
| Zdroj: | International Journal of Modern Physics C. 28:1750058 |
| ISSN: | 1793-6586 0129-1831 |
| DOI: | 10.1142/s0129183117500589 |
| Popis: | In this work, we consider a system of coupled finite-difference equations which incorporates a variety of opinion formation models, and use it to describe the dynamics of opinions on controversial subjects. The social network consists of a finite number of agents with pairwise interactions at discrete times. Meanwhile, the opinion of each agent is updated following a general nonlinear law which considers parameters identified as the personal constants of each of the members. We establish conditions that guarantee the existence of global attracting points (strong consensus) and intervals (weak consensus). Moreover, we note that these conditions are independent of the weight matrix and the number of agents of the network. Two particular scenarios are investigated numerically in order to confirm the validity of the analytical results. |
| Databáze: | OpenAIRE |
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