In the play Paris and Helen have come to Troy where they expect to find some safety from the protection of Hector, Paris's brother. But the Gods have chosen to have a war between Sparta and Troy. Zeus and Ares have chosen to side with Troy while Athena and Hera have sided with Sparta.This is different from the actual story because there are phrases in the play that may not have been invented yet such as "I can't read this it's all Greek to me." The reference to Ajax being a cleaning chemical or material was also not part of that time period.
Hector was the prince of Troy and brother of Paris. In the actual story of the Trojan War Hector was a very honorable man. He was very brave and courageous but also kind and helpful. In the play "The Hysterical History of the Trojan War" Hector also had these qualities. However, he had one quality that made him different, he was overconfident. He seemed to just laugh at the Spartans by doing things such as pulling Ajax's pants down or coming out to speak with Odysseus alone in front of the entire Spartan army.
The personality of Ajax in the play reminds me of Cato from the "Hunger Games". Ajax and Cato are both fierce warriors, dedicated to their country, or in Cato's case, district, and both are expected to be the victor of their battles. They are also defeated in the situations they are put in, the hunger games for Cato and the fight with Hector for Ajax.