What is the name of Zaroff's island in "The Most Dangerous Game"?

In the short story, "The Most Dangerous Game," we read about a world celebrated hunter named Rainsford who falls overboard a ship one night.  He manages to swim to shore and meets General Zaroff.  In the story we learn that the name of the island is Shiptrap Island.  It island is named Shiptrap Island because many ships have been caught in the tide and break up on the reefs.  This story is one of mystery and the brutality of one man towards others.