On that occasion, to be sure, some of the Athenians fled to Delium, others to the coast, others again to Oropus, and still others to Mount Parnes; but the Boeotians, particularly their own cavalry and that of the Locrians, followed close upon them and put them to death. When, then, such confusion and panic had seized the Athenians, is it likely that Socrates, “with head cocked high, his eyes rolling this side and that,”stood his ground alone and threw back the Boeotian and Locrian horsemen? Not Thucydides, not any poet besides, makes mention of this bravery. Again, how could he resign the prize for the bravest in favour of Alcibiades, who had not taken the smallest part in this campaign. And in the Crito, this devotee of the goddess of memory, Plato, says explicitly that Socrates had never made a journey abroad, excepting the excursion to the Isthmus. And Antisthenes, the disciple of Socrates, tells the same story about the prize for the bravest that Plato tells. “But this tale is not sooth.” For this Cynic, as well as Plato, displays favouritism toward Socrates in many ways; consequently neither of them should be trusted by those who have Thucydides in regard. Antisthenes, in fact, even adds to the faction these words: “We hear that in the battle with the Boeotians, also, you won the prize for the bravest. — Hush, stranger! That glory belongs to Alcibiades, not to me. — Yes, for you gave it to him, as we hear.” And Plato's Socrates says that he was present at Potidaea, and resigned the prize for the bravest to Alcibiades. But according to all the historians, the expedition to Potidaea, under command of Phormion, preceded that against Delium.
Source: The Deipnosophistae of Athenaeus published in Vol. II of the Loeb Classical Library edition, 1928.