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A Model of Dynamical System for the Attainment of Consensus

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    O. R. Satur & N. V. Kharchenko

Authors
  1. O. R. Satur
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  2. N. V. Kharchenko
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Correspondence to O. R. Satur.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 9, pp. 1271–1283, September, 2019.

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Satur, O.R., Kharchenko, N.V. A Model of Dynamical System for the Attainment of Consensus. Ukr Math J 71, 1456–1469 (2020). https://doi.org/10.1007/s11253-020-01725-w

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  • DOI: https://doi.org/10.1007/s11253-020-01725-w

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