A Model of Dynamical System for the Attainment of Consensus

A Model of Dynamical System for the Attainment of Consensus

We propose a mathematical model for the diffusion of opinions, which eventually leads to the attainment of the state of consensus. The theory of conflict dynamical systems with attractive interaction is used for the construction of a model. The behavior of the model in the case of making binary deci...

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Veröffentlicht in:Ukrainian mathematical journal 2020-02, Vol.71 (9), p.1456-1469
Hauptverfasser: Satur, O. R., Kharchenko, N. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Decision making
Dynamical systems
Geometry
Mathematical models
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung:We propose a mathematical model for the diffusion of opinions, which eventually leads to the attainment of the state of consensus. The theory of conflict dynamical systems with attractive interaction is used for the construction of a model. The behavior of the model in the case of making binary decisions is described in detail and the behavior of trajectories in the decision-making model with many alternative positions is investigated.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-020-01725-w