The Question and Answer section for The Most Dangerous Game is a great resource to ask questions, find answers, and discuss the novel.
The antagonist, Zaroff, does not look like your average cold blooded killer: he is refined and very hospitable to Rainsford. By "game" Rainsford thinks Zaroff hunts animals when, in reality, he hunts people.
His pupil's are people who he has trapped on the island and is planning on hunting.
Likely, it is a little of both. Zaroff's belief that Rainsford had died going over the cliff was premature, and for an experienced hunter, it was an uncharacteristic assumption. Rainsford, on the other hand, successfully outsmarted Zaroff and made...