"The Most Dangerous Game" is a short story about a man hunting another man. Or you could summarize it the other way around. The story is about a man being hunted by another man.
Early in the story, Sanger Rainsford is shipwrecked on an island. The island is the property and residence of General Zaroff. He stocks the island with all manner of animals to hunt . . . including people. General Zaroff recognizes Rainsford as a great hunter and offers him the chance to hunt another human being. Rainsford refuses and Zaroff then makes him his next prey. If Rainsford survives for three days, General Zaroff agrees to set him free. The rest of the story is a cat and mouse game between Rainsford and Zaroff. It ends with one of them being killed.