ἀγώνιος
ἀγώνιος
ἀγών
of or belonging to the contest, ἄεθλος ἀγ. its prize, Pind.; of Hermes, as president of games, Pind.; of Zeus as decider of the contest, Soph.;—the ἀγώνιοι θεοί, in Aesch., etc., are prob. the gods who presided over the great games (Zeus, Poseidon, Apollo, Hermes).
ἀγωνίῳ σχολᾷ in Soph. Aj. 195 is prob. an oxymoron, rest full of conflict, uneasy rest.