The conflict between Rainsford and Zaroff Richard Connell's "The Most Dangerous Game" is both internal and external. External conflict is the conflict between two or more people, a person against nature, and a person against the supernatural. Internal conflict is a conflict one faces within himself or herself.
One conflict Rainsford faces regarding Zaroff is external. Since he is running from Zaroff, so that he does not kill him, Rainsford conflicts with Zaroff himself. At the same time, Rainsford conflicts with nature because of his fight against Zaroff.
Internally, Ransford faces a conflict within himself. He does not wish to die. He knows that he possesses the skill to defeat Zaroff, but, at times, Rainsford questions his own ability. This is illustrated by the following quote: "I will not lose my nerve. I will not."
In the end, Rainsford is able to overcome both his internal and external conflicts.