Rainsford, a hunter, is on a ship. He tumbles into the Caribbean Sea and washes ashore on an island, where General Zaroff is welcoming and hospitable. The general already knew who Rainsford was - he read his book.
They discuss their hunting adventures, beasts they have slain, and eventually, General Zaroff's "game." He hunts humans, and wants Rainsford to join him. This quickly develops into wanting to hunt Rainsford.
Rainsford has no choice but to agree to be the prey in the general's game. He sets off on his misadventure and sets several traps. He manages to kill Ivan (Zaroff's assistant) and one of Zaroff's hounds.
General Zaroff catches up to Rainsford but does not catch him. Rainsford dives into the sea and swims away. The general believes that he has won, but then Rainsford shows up in his bedroom!
General Zaroff is surprised when he realizes that he finally lost his "game." However, his twisted code of honor leads to him offering Rainsford his bedroom and leaving himself.
We are left wondering about the further fallout of the "game." We can infer about whether Rainsford left, killed General Zaroff, told the world about General Zaroff's murders, and more. I like to think that he left and shut down the general's island.