Before revision:  Most existing models of interference posit that treatments assigned to alters only affect the ego 's response through a low-dimensional exposure mapping, which only depends on units within some known network radius around the ego. 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:  Most existing models of interference posit that treatments assigned to alters only affect the ego 's response . However, many models of social interactions do not satisfy this assumption. This paper proposes 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.