Yes, I do think that "The Most Dangerous Game" has a resolution. In a standard plot chart, the latter half of it would be climax, falling action, and resolution. I've seen equal support for the climax being the part when Rainsford jumps off of the cliff or the part when he confronts Zaroff in the bedroom. In both cases, the resolution of the story remains the same. The resolution is that Zaroff is dead, Rainsford is alive, and Rainsford sleeps really well in Zaroff's bed.
He had never slept in a better bed, Rainsford decided.
I feel that the above resolution is a clear resolution. The external, man vs. man conflict has been resolved. Rainsford no longer needs to fear for his life. What isn't so cleanly resolved is what Rainsford does when he wakes up. Does Rainsford safely return home, or does he become the new Zaroff? I like to think that it is the former because Rainsford is quite adamant that Zaroff is morally corrupt.
"Hunting? Great Guns, General Zaroff, what you speak of is murder."
I don't believe that Rainsford has some kind of epiphany that allows him to believe in and support Zaroff's actions. I think Rainsford sleeps well because he is relieved his fight is over, not because he found the final kill enjoyable.