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Some empirical observations of cascades of adoption

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Unformatted text preview: Θ of both sides of last equation: d dΘ 1 k • solving this: k 1 k λkΘ k pk 1+λΘ k = 1, at λ = λc Θ=0 k2 k p k λc k = =1 k λc = k k2 If k 2 → ∞ but k finite, then λc → 0. • Unlike a threshold model, they find node heterogeniety greatly enhances onset of global cascade Next time: Coordination games and cascades (I promise, it is more fun and accessible) • Threshold models : flip behavior once a certain number or fraction of neighbors adopt new behavior. • Diminishing re...
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