Title :
Opinion Dynamics with Persistent Leaders
Author :
Van Sy Mai ; Abed, Eyad H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Maryland, College Park, MA, USA
Abstract :
This paper revisits the problem of agreement seeking in a social network under the influence of leaders. The persistence of the leader´s effect on the opinions of other agents is characterized by the total weight that they place on the leader´s information over time. If this weight is infinite, then the leader is called persistent. Our results describe the asymptotic behavior of network opinions towards the state of a persistent leader in both cases of networks with fixed and switching topologies. We also show that only persistent leaders are able to drive the network to the leader´s constant state.
Keywords :
network theory (graphs); social sciences; topology; agreement seeking problem; fixed topologies; opinion dynamics; persistent leaders; social network; switching topologies; Convergence; Educational institutions; Network topology; Social network services; Switches; Symmetric matrices; Topology;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039836
