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Pré-Publication, Document De Travail Année : 2021

Power of the Crowd

Athanasios Batakis
Pierre Debs
Dorian Le Peutrec

Résumé

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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Dates et versions

hal-03481343 , version 1 (15-12-2021)
hal-03481343 , version 2 (22-08-2022)

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  • HAL Id : hal-03481343 , version 1

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Athanasios Batakis, Pierre Debs, Dorian Le Peutrec. Power of the Crowd. 2021. ⟨hal-03481343v1⟩
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