Before revision:  Then using techniques in branching process theory, we derive primitive conditions for stabilization in the following applications: static and dynamic models of strategic network formation , network regressions, and treatment effects with network spillovers.
After revision:  Then using techniques in branching process theory, we derive primitive conditions for stabilization using results in branching process theory. We apply the methodology to static and dynamic models of strategic network formation , network regressions, and treatment effects with network spillovers.