The Collaborative International Dictionary of English v.0.48:
non-engagement \non-engagement\ n. Withdrawal from the activities of a group. Syn: nonparticipation, non-involvement. [WordNet 1.5]WordNet (r) 3.0 (2006):
non-engagement n 1: withdrawing from the activities of a group [syn: non- engagement, nonparticipation, non-involvement] [ant: engagement, involution, involvement, participation]