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Power of the Crowd

Abstract : Consider an n-ary tree of height m: each leaf has one of k opinions or not. In other words, for i ∈ {1,. .. , k}, x at generation m thinks i with probability pi and nothing with probability p0. Moreover the opinions are independently distributed for each leaf. Opinions spread along the tree based on a specific rule: the majority wins! In this paper, we study the asymptotic behavior of the distribution of the opinion of the root when m → ∞.
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Preprints, Working Papers, ...
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Contributor : Athanasios Batakis Connect in order to contact the contributor
Submitted on : Wednesday, December 15, 2021 - 11:53:19 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:35 PM


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  • HAL Id : hal-03481343, version 1



Athanasios Batakis, Pierre Debs, Dorian Le Peutrec. Power of the Crowd. 2021. ⟨hal-03481343⟩



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