My money is on Jim still standing at the end without ever laying a finger on Sin.
How is this even fair? No weapons? No help? What the fuck do I do? Run around until he gets exhausted and passes out then try to break his neck? Maybe I could get a luck trip in and he would bust open his noggin? IRL you can ALWAYS find a weapon, not saying you can use it efficiently, or that it wont be taken from you and used against you, or anything like that, but at least there is a CHANCE that it could help. This is unrealistic, change the rules.