ἐπιδιδόναι
From LSJ
Greek > English (Woodhouse Verbs Reversed)
(see also ἐπιδίδωμι): grow, improve, increase, contribute voluntarily, give as a dowry, give besides, give voluntarily
Lexicon Thucydideum
sponte dare, largiri, permittere, to give voluntarily, grant, allow, 4.11.4,
crescere, augeri, incrementa capere, to increase, be enlarged, make gains, 6.60.2, 6.72.4, 7.8.1, 8.24.4, 8.83.2.