Dynamic monopolies in graphs have been studied as a model for spreading processes within networks. Together with their dual notion, the generalized degenerate sets, they form the immediate generalization of the classical notions of vertex covers and independent sets in a graph. We present results concerning dynamic monopolies in graphs of given average threshold values extending and generalizin...

How should complementarities a¤ect antitrust merger policy? I introduce a two-stage strategic model in which complementary input sellers o¤er supply schedules to producers and then engage in bilateral bargaining with producers. The main result is that there is a unique weakly dominant strategy equilibrium and the equilibrium attains the joint pro…t maximizing outcome. Output equals that of a bu...