Bootstrap percolation is an often used model to study the spread of diseases, rumors, and information on sparse random graphs. The percolation process demonstrates a critical value such that the graph is either almost completely affected or almost completely unaffected based on the initial seed being larger or smaller than the critical value. In this paper, we consider behavioral interventions,...

Fear that the Internet promotes harmful political rumoring is merited but not for reasons originally anticipated. Although the network accelerates and widens rumor circulation, on the whole, it does not increase recipient credulity. E-mail, however, which fosters informal political communication within existing social networks, poses a unique threat to factual political knowledge. A national te...