The Tain's own hero: "Cuchulain"

Like the other myths we're familiar with such as The Mahabharata and The Iliad, The Tain possesses its own unique hero, Cuchulain, whom the story talks about throughout the majority of the epic. Although we could find more than one hero in The Mahabharata, the one that appeals the most as a great warrior is Arjuna. Also, The Iliad has its greatest hero the epics talks about the most, Achilles. Similarly, The Tain introduces us to a very brave, courageous, and almost godlike hero, Cuchulain.
Knowing by now all three stories and their own heroes, who do you think will win the fight if we put these three warriors in a free-for-all fight???

Achilles "The Greatest Warrior"

We know that Achilles was almost like a God in a sense, because he was born to take lives and had a very little chance to be killed. He knew he was the greatest warrior ever born, but he also knew that his life would end if he stood in Troy to fight for his honor and glory. Although he redeemed himself after returning Hector's body to the king of Troy Priam, why did he have to humiliate Hector by dragging his body throughout the battlefield with his chariot in the presence of the Trojan royalty?

Dharma's son

The son of Kunti and Dharma (whom she evoked in order to have a son) came out just like his father. Yudhisthira throughout the story showed to be the embodiment of virtue and truth. He shows a great deal of strength and courage in the face of misfortune and shows his freedom from malice and anger against even his worst enemies.
However, if he was such a righteous king, why did he stake his brothers and even his queen Draupadi after losing his kingdom and all his possessions?