In the short story "The Storyteller" by Saki, an aunt is traveling with three boisterous children in the same carriage as a stranger, a man who is described only as a bachelor. The aunt first attempts to distract the children by drawing their attention to things outside the window. When she is unsuccessful at this, she tells them a short and rather boring story. The bachelor in turn tells them an unconventional but much more detailed and interesting story, prompting them to remark that it is the best story they have ever heard.
Conflicts in a story are the problems or opposition that characters face. These problems can involve characters in opposition to each other, characters against nature, characters against society, or sometimes characters in opposition to aspects of themselves.
There are several instances of conflict in "The Storyteller." The first conflict presented is that of the aunt versus the children. She tries to control them but fails. Their questions point out the obvious flaws in her story, and their analysis is that her story is stupid.
The aunt's inability to control the children provokes the next conflict, which is between the aunt and the bachelor. The bachelor is also scornful of the aunt's storytelling abilities, so he tells his own story in part to show the aunt how it should be done. He succeeds excellently in holding the attention of the children, but he causes the aunt to exclaim that his story is improper to tell to young children.
The third instance of conflict is within the story that the bachelor tells. His story is about a girl named Bertha, who wanders into a prince's park. She encounters a hungry wolf, and the conflict is between Bertha and the wolf. The wolf eventually devours her.
We can see, then, that the main conflict in "The Storyteller" is between the aunt and the bachelor, and it involves their different storytelling techniques and moral beliefs. The conflict between the aunt and the children sets up the main conflict. The conflict between Bertha and the wolf exists in the story-within-a-story that the bachelor tells.