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Opinion Dynamics with Persistent Leaders

Authors: Van Sy Mai; Eyad H. Abed;

Opinion Dynamics with Persistent Leaders

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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