Son of Agasthenes and Peloris, king of Elis. He was counted among the suitors of Helen, and accordingly participated in the Trojan War, having brought 40 ships with him. He returned home safely after the war, and had a son Amphimachus, whom he possibly named after his friend Amphimachus (son of Cteatus), who had died at Troy. Polyxenus, king of Elis, was also said to have been entrusted with the stolen cattle by the Taphians under Pterelaus; the cattle was ransomed from him by Amphitryon. This Polyxenus, however, appears to be a figure distinct from Polyxenus, son of Agasthenes, since he lived two generations before the Trojan War.
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