This statue is likely to have been dedicated after the battle of Actium, but before Octavian received the title of Augustus in 27 B.C. For the history of the Achaean league under the early Roman Empire, see J.Edmondson, "Augustus", pp.474-476 ( Google Books ).
The league of the Achaeans dedicated this statue of imperator Caesar, the son of the divine Julius, to Olympian Zeus, on account of his virtue and the goodwill that he continually has towards the league.
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