(Πολύξενος), a son of Agasthenes grandson of Augeas, and father of Amphimachus, was the commander of the Epeians in the war against Troy. (Hom. Il. 2.623; Paus. 5.3. sect; 4.) There are three other mythical personages of this name, one a king of Eleusis (Hom. Hymn. in Cer. 154), the second a king of Elis (Apollod. 2.4.6), and the third a son of Jason and Medeia. (Paus. 2.7.)