| The Role of Second Trials in Cascades of Information over Networks (2008) | |||||||||
Abstract | |||||||||
| 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.. Comment: 7 pages, 6 figures | |||||||||
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