Open AccessLimit evolution in some Markovian models of opinion dynamics with large number of participants
Author(s) -
Margarita Vorobyeva,
Anatoly Manita
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1740/1/012041
Subject(s) - limit (mathematics) , limiting , statistical physics , markov process , infinity , dynamics (music) , process (computing) , mathematics , markov chain , computer science , physics , mathematical analysis , statistics , mechanical engineering , acoustics , engineering , operating system
We consider a discrete time Markov process describing dynamics in a society of K agents with special opinion exchange rules. In the limit as K goes to infinity, we prove that the process converges to some limiting dynamical system and afterwards we discuss some properties of that system.