Kharchenko N. V.
Ukr. Mat. Zh. - 2019. - 71, № 9. - pp. 1271-1283
UDC 517.9 + 316.4
We propose a mathematical model for the diffusion of opinions, which eventually lead to the attainment of the state of consensus. The theory of conflict dynamical systems with attractive interaction is used for the construction of the 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.
Ukr. Mat. Zh. - 2010. - 62, № 1. - pp. 112–122
For conflict dynamical systems, we study the problem of the existence and description of initial measures that converge to measures with given spectral distributions.
Invariant points of a dynamical system of conflict in the space of piecewise-uniformly distributed measures
Ukr. Mat. Zh. - 2004. - 56, № 7. - pp. 927–938
We prove a theorem on the existence and structure of invariant points of a dynamical system of conflict in the space of piecewise-uniformly distributed measures.