Price of Anarchy in the Link Destruction (Adversary) Model

In this model of network formation, players anticipate the destruction of one link, which is chosen according to a known probability distribution. Their cost is the cost for building links plus the expected number of other players to which connection will be lost as a result of the link destruction. We consider different equilibrium concepts (Nash equilibrium, pairwise Nash equilibrium, pairwise stability) and two different ways in which the probability distribution depends on the network.