Paper Info
Title
Opinion dynamics over complex networks: Kinetic modelling and numerical methods
Abstract
In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary interactions between agents with a dynamic creation and removal process of new connections. The number of connections of each agent influences the spreading of opinions in the network but also the way connections are created is influenced by the agents' opinion. The evolution of the network of connections is studied by showing that its asymptotic behavior is consistent both with Poisson distributions and truncated power-laws. In order to study the large time behavior of the opinion dynamics a mean field description is derived which allows to compute exact stationary solutions in some simplified situations. Numerical methods which are capable to describe correctly the large time behavior of the system are also introduced and discussed. Finally, several numerical examples showing the influence of the agents' number of connections in the opinion dynamics are reported.
Year
DOI
Venue
2016
10.3934/krm.2017001
KINETIC AND RELATED MODELS
Keywords
DocType
Volume
Opinion dynamics,kinetic equations,scale-free networks,collective behavior,big data,Monte Carlo methods,finite-difference schemes
Journal
10
Issue
ISSN
Citations 
SP1
1937-5093
7
PageRank 
References 
Authors
0.58
9
3
Name
Order
Citations
PageRank
Giacomo Albi1223.46
Lorenzo Pareschi242164.78
mattia zanella3234.49