Final answer:
Agamemnon chooses Chryseis, Odysseus chooses Achilles' armor, and Neoptolemus chooses Andromache.
Step-by-step explanation:
Agamemnon:
Agamemnon, the king of Mycenae, chooses the prize of Chryseis, a Trojan priestess, as his prize during the Trojan War.
Odysseus:
Odysseus, the king of Ithaca, chooses the prize of Achilles' armor after Achilles' death. This leads to a conflict between Odysseus and Ajax.
Neoptolemus:
Neoptolemus, also known as Pyrrhus, chooses the prize of Andromache, Hector's widow, during the Trojan War.