History of the Peloponnesian War

After fighting on equal terms, so that either party might claim the victory, (though the Athenians, nevertheless, had got possession of the wrecks, through the wind driving them out into the open sea, and the Corinthians no longer advancing against them,) they separated from each other, and there was no pursuit made, nor were any prisoners taken on either side: for the Corinthians and Peloponnesians easily effected their escape, as they were fighting near shore, and no ship on the side of the Athenians went down.

When, however, the Athenians had sailed back to Naupactus, the Corinthians immediately erected a trophy, as conquerors; because they had disabled a greater number of their enemy's ships, and considered that they were not beaten, for the very same reason that the other party considered them not to have conquered: for the Corinthians regarded themselves as having the advantage if they were not decidedly beaten, and the Athenians considered them to be worsted, because they were not decidedly conquerors.

But when the Peloponnesians had sailed off, and their troops had dispersed, the Athenians erected a trophy on their side also, as having gained the victory, in Achaea, at about twenty stades distance from Erineus, where the Corinthians were stationed. And so ended the sea-fight.