The proliferation of Social Network Sites (SNSs) has greatly reformed the way
of information dissemination, but also provided a new venue for hosts with
impure motivations to disseminate malicious information. Social trust is the
basis for information dissemination in SNSs. Malicious hosts judiciously and
dynamically make the balance between maintaining its social trust and selfishly
maximizing its malicious gain over a long time-span. Studying the optimal
response strategies for each malicious host could assist to design the best
system maneuver so as to achieve the targeted level of overall malicious
activities. In this paper, we propose an interaction-based social trust model,
and formulate the maximization of long-term malicious gains of multiple
competing hosts as a non-cooperative differential game. Through rigorous
analysis, optimal response strategies are identified and the best system
maneuver mechanism is presented. Extensive numerical studies further verify the
analytical results