In "The Most Dangerous Game," what is Rainsford's conflict with Zaroff, and how is it finally resolved?

The conflict between Rainsford and Zaroff is brought about by Zaroff's irrational desire to hunt and animal of intelligence, a bill which Rainsford readily fills.  It is resolved when a more intelligent Rainsford out thinks Zaroff and overcomes him in his own bedroom at the end of the story.