Peer selection in opinion dynamics on signed social networks with stubborn individuals

Pan, Lulu; Shao, Haibin; Li, Dewei

doi:10.1016/j.neucom.2021.12.105

Cited by 11 publications

(4 citation statements)

References 38 publications

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“…Corollary 1 points out that in a structurally balanced network, when the number of broadcasts tends to infinity, the followers in the camp that cooperated with the leader would tend to the leader's opinion, while the followers in the other camp would tend to the opposite value of the leader's opinion. This conclusion is consistent with the Theorem 1 in [34] and the Theorem 2 in [37].…”

Section: Resultssupporting

confidence: 91%

Opinion dynamics with intermittent-influence leaders on the signed social network

Shen

et al. 2022

Preprint

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In this paper, the leader-follower architecture is constructed by combining intermittent-influence leaders with a signed social network. Unlike a typical network with leaders where leaders are supposed to continuously influence followers, in this article, the leaders intermittently influence followers. Furthermore, the number of influences is limited. We focus on how intermittent-influence leaders impact the evolution of followers’ opinions. The relationship between followers’ opinions and the number of leader broadcasts is analyzed in detail. Then, the number of broadcasts is regarded as the cost, and the changing trend of the revenue per broadcast is obtained. The results show that as the number of broadcasts increases, the revenue per broadcast decreases gradually. Finally, the concept of assimilation is introduced to weigh the costs and benefits, and the minimum number of broadcasts required for the leader to assimilate the followers is derived. Two examples are given to demonstrate the validity of the main conclusions.

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Section: Resultssupporting

confidence: 91%

Opinion dynamics with intermittent-influence leaders on the signed social network

Shen

et al. 2022

Preprint

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“…The authors established a necessary and sufficient condition, which ensure all opinions finally converge to bipartite consensus as long as the network topology is structurally balanced. In Reference 36, the authors examined an eigenvector‐based peer selection strategy and show how the strategy can be beneficial in the spreading efficiency of stubborn individuals' opinions. For the signed social networks with stubborn individuals, this strategy can ensure that the network achieves bipartite consensus.…”

Section: Resultsmentioning

confidence: 99%

“…For the signed social networks with stubborn individuals, this strategy can ensure that the network achieves bipartite consensus. Although all followers' opinions reach bipartite consensus in References 34 and 36, the influence of leaders on followers is continuous and infinite. Corollary 1 shows that our results are consistent with the results of References 34 and 36 if the broadcasts are assumed to be continuous.…”

Section: Resultsmentioning

confidence: 99%

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Opinion dynamics with intermittent‐influence leaders on the signed social network

Shen

et al. 2023

Engineering Reports

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In this paper, the leader‐follower architecture is constructed by combining intermittent‐influence leaders with a signed social network. Unlike a typical network with leaders where leaders are supposed to continuously influence followers, in this article, the leaders intermittently influence followers. Furthermore, the number of influences is limited. We focus on how the intermittent‐influence leaders impact the evolution of followers' opinions. The relationship between followers' opinions and the number of leader broadcasts is analyzed in detail. Then, the number of broadcasts is regarded as the cost, and the changing trend of the revenue per broadcast is obtained. The results show that as the number of broadcasts increases, the revenue per broadcast decreases gradually. Finally, the concept of assimilation is introduced to weigh the costs and benefits, and the minimum number of broadcasts required for the leader to assimilate the followers is derived. Two examples are given to demonstrate the validity of the main conclusions.

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On the herdability of linear time-invariant systems with special topological structures

Pasquale

Valcher

2023

Automatica

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Peer selection in opinion dynamics on signed social networks with stubborn individuals

Cited by 11 publications

References 38 publications

Opinion dynamics with intermittent-influence leaders on the signed social network

Opinion dynamics with intermittent-influence leaders on the signed social network

Opinion dynamics with intermittent‐influence leaders on the signed social network

On the herdability of linear time-invariant systems with special topological structures

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