What was the conflict (internal and external), and what type is it (man vs. self, man vs. man, or man vs. society)?
There are several conflicts in this story.
Man vs. Man: One example is the princess vs. her father, who won't let her marry the commoner she loves. The princess is royalty and the commoner obviously is not.
Man vs. Society: One example is the commoner vs. the arena, or the process that the king has chosen to solve problems in his kingdom or society.
Commoner vs. himself: The commoner has an internal conflict (lost love, sadness) because he loves the princess and he cannot marry her.
The conflicts are solved for the princess and the commoner by the king. He breaks up the relationship and then subjects the commoner to the arena either to be eaten by a tiger or married to a beautiful lady, a fellow commoner.
The Princess's internal conflict of passionate jealousy against the lady intended for the commoner is at the heart of the ending. Did she resolve her conflict and put the commoner's safety above her petty jealousy or will she sentence him to death? The author does not tell the reader, so this conflict remains unresolved.