The Role of Second Trials in Cascades of Information over Networks

Details The Role of Second Trials in Cascades of Information over Networks The Role of Second Trials in Cascades of Information over Networks

2008-06-30

arxiv.org/abs/0806.4880v2

Physics

Physics and Society

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.79.016114

We study the propagation of information in social networks. To do so, we focus on a cascade model where nodes are infected with {probability $p_1$ after their first contact with the information and with probability $p_2$ at all subsequent contacts.} The diffusion starts from one random node and leads to a cascade of infection. It is shown that first and {subsequent} trials play different roles in the propagation and that the size of the cascade depends in a non-trivial way on $p_1$, $p_2$ and on the network structure. Second trials are shown to amplify the propagation in dense parts of the network while first trials are {dominant for the exploration of} new parts of the network and launching new seeds of infection.

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