Opinion convergence in the Krasnoshchekov model

Bibliographic Data

ID7520845
AuthorsIvan Kozitsin (0000-0002-2638-0131, Moscow Institute of Physics and Technology, corresponding author), Ivan Vladimirovich Kozitsin (Moscow Institute of Physics and Technology), А А Белолипецкий (Moscow Institute of Physics and Technology), Alexander Alexeyevich Belolipetskii (Moscow Institute of Physics and Technology)
Year2018
Volume43
Issue2
Pages104-121
Publication date2018-10-15
Open AccessNo
TypeARTICLE
VenueJournal of Mathematical Sociology (JOURNAL)
Journal identifiersISSN: 0022-250X • E-ISSN: 1545-5874
PublisherTaylor & Francis (PUBLISHER • GB)
DOI10.1080/0022250x.2018.1531398
OpenAlexW2896838865
LanguageEN
Citations received1
References cited16

In this paper, a rigorous mathematical analysis of the Krasnoshchekov model is presented. We have shown that in case a community does not contain any group of people having zero resistance to interpersonal influence, which are moreover isolated from the pressure of the rest of community, the Krasnoshchekov opinion readjustment procedure can be reduced to the Friedkin–Johnsen dynamics. In turn, if one repeats the Krasnoshchekov opinion updating rule, the corresponding dynamics forces individuals’ opinions to converge eventually to some terminal opinions, which are a consensus under the same conditions as in the French–Harary–DeGroot dynamics. Otherwise, the Krasnoshchekov dynamics exhibits patterns, which are much closer to the behavior of electrons in the superconductivity state

Convergence (economics · Dynamics (music · Economics · Interpersonal communication · Linguistics · Mathematical economics · Physics · Resistance (ecology · Rest (music · Sequence (biology · Sociology · Statistical physics · Zero (linguistics · Complex Network Analysis Techniques · Computer Science · Mathematics · Opinion Dynamics and Social Influence · Psychology · Quantum many-body systems · Social Psychology

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