The phrase ὑπὸ ψήφου μιᾶς (by a single vote) is a pointed allusion to the procedural mechanism of ostracism or, more likely in the context of the play's climax, the specific, singular vote of the Athenian assembly that determines the fate of the peace treaty. The construction emphasizes the precariousness of the decision, reducing a monumental political outcome to a single ballot, a rhetorical device Aristophanes uses to satirize the volatility of Athenian democracy. The addition of 'first of all' (πρώτην δὲ) followed by 'that of Lykon' (τὴν Λύκωνος) identifies Lykon as the specific individual whose vote was decisive or perhaps the one whose proposal was accepted first, serving as a satirical jab at a real political figure known for his involvement in the peace negotiations or the oligarchic factions, though the text does not specify the exact historical moment without further context from the play's performance date.