Before revision:  We propose a substantially weaker  "approximate neighborhood interference" (ANI) assumption, which allows treatments assigned to alters far from the ego to have a small , but potentially nonzero, impact on the ego's response.
After revision:  We propose a substantially weaker "approximate neighborhood interference" (ANI) assumption, which allows treatments assigned to alters far from the ego have a smaller , but potentially nonzero, impact on the ego's response.