TY - JOUR
T1 - On the Analysis of the DeGroot-Friedkin Model with Dynamic Relative Interaction Matrices
AU - Ye, Mengbin
AU - Liu, Ji
AU - Anderson, Brian D.O.
AU - Yu, Changbin
AU - Başar, Tamer
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Because interactions in the CCF 11-11342. Copyright © 2017 IFAC 12408tions affong the individuals. Because interactions in the 2405-8963 © 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. CPeer review under responsibility of International Federation of Automatic Control.opyright © 2017 IFAC 12408 Copyright © 2017 IFAC 12408 10.1016/j.ifacol.2017.08.1426
PY - 2017/7
Y1 - 2017/7
N2 - This paper analyses the DeGroot-Friedkin model for evolution of the individuals’ social powers in a social network when the network topology varies dynamically (described by dynamic relative interaction matrices). The DeGroot-Friedkin model describes how individual social power (self-appraisal, self-weight) evolves as a network of individuals discuss opinions on a sequence of issues. We seek to study dynamically changing relative interactions because interactions may change depending on the issue being discussed. Specifically, we study relative interaction matrices which vary periodically with respect to the issues. This may reflect a group of individuals, e.g. a government cabinet, that meet regularly to discuss a set of issues sequentially. It is shown that individuals’ social powers admit a periodic solution. Initially, we study a social network which varies periodically between two relative interaction matrices, and then generalise to an arbitrary number of relative interaction matrices.
AB - This paper analyses the DeGroot-Friedkin model for evolution of the individuals’ social powers in a social network when the network topology varies dynamically (described by dynamic relative interaction matrices). The DeGroot-Friedkin model describes how individual social power (self-appraisal, self-weight) evolves as a network of individuals discuss opinions on a sequence of issues. We seek to study dynamically changing relative interactions because interactions may change depending on the issue being discussed. Specifically, we study relative interaction matrices which vary periodically with respect to the issues. This may reflect a group of individuals, e.g. a government cabinet, that meet regularly to discuss a set of issues sequentially. It is shown that individuals’ social powers admit a periodic solution. Initially, we study a social network which varies periodically between two relative interaction matrices, and then generalise to an arbitrary number of relative interaction matrices.
KW - behavioural sciences
KW - multi-agent systems
KW - networked systems
KW - opinion dynamics
KW - social
KW - social networks
UR - http://www.scopus.com/inward/record.url?scp=85044853156&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85044853156&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2017.08.1426
DO - 10.1016/j.ifacol.2017.08.1426
M3 - Article
AN - SCOPUS:85044853156
SN - 2405-8963
VL - 50
SP - 11902
EP - 11907
JO - 20th IFAC World Congress
JF - 20th IFAC World Congress
IS - 1
ER -