EUDOKIA is another word that is in Jewish and early
Christian literature, translating the Hebrew RASON meaning God's good
pleasure, his gracious will, activity, and election. The LXX
influence is definite here. Classical Greek uses the noun EUDOKHSIS.
EUDOKIA is used nine times in the NT.
The Lk 2:14 use of the genitive has been taken as a descriptive
genitive by some, but the acclamation of the angels' song is not a
wish for mankind to be characterized by good will, as if mankind
somehow approved of or contributed to this event. Rather, we are
dealing with an objective genitive - God's sovereign and gracious
will, "Peace on earth among men of (God's) good will."
At least, that's how I see it. Peace!
Associate Prof of Christian Ministries
Central Bible College