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Journal Articles IEEE Control Systems Letters Year : 2023

Stability analysis of a socially inspired adaptive voter model

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Emmanuel Kravitzch
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  • PersonId : 1116477
Yezekael Hayel
Vineeth Varma
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  • PersonId : 1130288
Antoine Berthet

Abstract

In this letter, we study an instance of continuous-time voter model over directed graphs on social networks with a specific refinement: the agents can break or create new links in the graph. The edges of the graph thus co-evolve with the agents’ spin. Specifically, the agents may break their links with neighbours of different spin, and create links their 2-hop neighbours, provided they have same spin. We characterize the absorbing configurations and present a particular case that corresponds to a single agent facing two antagonistic ideologies. By asymptotic analysis, we observe two regimes depending on the parameters: in one regime, hesitation disappears rapidly, while when the link creation rate is high enough, slow extinction occurs. We compute the threshold value and illustrate these results with numerical simulations.
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Dates and versions

hal-03608386 , version 1 (14-03-2022)

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Emmanuel Kravitzch, Yezekael Hayel, Vineeth Varma, Antoine Berthet. Stability analysis of a socially inspired adaptive voter model. IEEE Control Systems Letters, 2023, 7, pp.175-180. ⟨10.1109/LCSYS.2022.3185386⟩. ⟨hal-03608386⟩
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