διαιτάω Note the bizarre perfect
2.Mid. and Pass. to lead a certain course of life, to live, Hdt., Soph.; δ. νόμιμα to live in the observance of laws, Thuc.
II.to be arbiter or umpire (διαιτητής), Dem., etc.
2.c. acc. rei, to determine, decide, Theocr.