ἀγωνο-θετέω · agōno-theteō — LSJ
exhibit games, GDI 1842 (Delph.), etc.; ἀ. Πύθια, Ὀλύμπια AP 12.255 (Strat.); μίμοις ἀ. Plu. QConv. 2.621c: metaph., Th. 3.38.
c. acc., ἀ. τινάς embroil them, Plb. 9.343; ἀ. στάσιν, πόλεμον, etc., stir up faction, war, etc., Plu. Cat.Mi. 45, J. AJ 17.3.1.
preside at the games, D. 9.32, cf. Pl. Smp. 184a.